Latest Videos – Study Force Academy

We’ve indexed our most recent videos below

» Find the Fixed Points of a Function

» Change Absolute Function to a Piecewise Function

» Modulus of a Smaller Dividend and Larger Divisor Explained

» Group Theory - The Basics with Examples

» Calculating Electric Field (Part 2)

» Recovering a Matrix from RREF

» Calculating Electric Field ( = kq/r)

» Calculate the Net Force (3 Spheres in Triangle Formation)

» Time it takes for a signal from Mars to Reach Earth (Calculation)

» Trick Method to Solving Quartic Polynomials

» Determining the Intersection and Union of Sets and Intervals

» Calculating the Mean for a Frequency Distribution

» Basics of Rounding

» Solving a VERY HARD equation

» Find the Inverse of a Matrix Using its Adjoint

» Using the Intermediate Value Theorem

» Identifying Slant Asymptotes

» Calculate the Net Force (3 Spheres)

» Sketch Natural Logarithmic Functions (Step-by-Step)

» Falling-Body Problems | Throw the ball up from the top... (Question 7)

» Trigonometry Problems Involving Two Right Triangles (Example 3)

» Proof Involving Properties of Summation Notation | Advanced Math

» Finding Coordinates on a Unit Circle

» Unit Circle Trigonometry | Cosine with Radian Angles

» Convert Between Hexadecimal and Decimal

» Calculating Molar Mass of a Gas (Question 1)

» Calculate the Charge of Two Spheres Hung by a Thread | Coulomb's Law

» Coulomb's Law Calculations | Two Charges Separate by a Distance (Pt. 2)

» Solve Percent Change Problems

» Use Truth Table to Show Logically Equivalent Statements (AB)C(CA)(BC)

» Strangest Math Symbols | How Many Do You Know?

» Statement Contradictions | Using a Truth Table

» Coulomb's Law Calculations | Two Charges Separate by a Distance

» Math Mistakes in Billy Madison (the Movie)

» Alcohol Proof and Proof Gallon

» Alligation Problems Involving Specific Gravity

» GeoGebra - Create Interactive Unit Circle with Sine Curve

» Determine the Prime Factorization | Examples

» Calculate Specific Gravity Using a Pycnometer

» What is Specific Gravity and How it's Calculated

» GeoGebra - Creating an Incircle within a Triangle

» More Alligation Alternate Examples (Pt. 2)

» More Alligation Alternate Examples

» Convert Between Logarithmic and Exponential Equations

» The Tukey Procedure (Example 2)

» Solving Equations Containing Radicals (Part 1)

» Alligation Alternate Method (Part 2)

» Alligation Alternate Method (Example Calculations)

» Alligation Medial Examples (Pt. 2)

» Alligation Medial Examples

» Dilution and Concentration of Solids (Q1C1=Q2C2)

» Find the Amount of Diluent Needed when Preparing a Solution of Lower Strength

» Determining Quantity of Active Ingredient from Diluted Portion

» Preparing Solutions From a Stock Vial or Ampuls (Part 2)

» Preparing Solutions From a Stock Vial or Ampuls

» Amount of Stock Solution Needed to Prepare Desired Solution (Part 2)

» Amount of Solution Needed to Prepare Desired Solution (Q1C1 = Q2C2)

» Determining Amount of Solution for a Desired Strength (Q1C1 = Q2C2)

» Determine the Percentage or Ratio Strength (Q1C1 = Q2C2)

» Determine Allele Dominance from a Controlled Cross

» Analysis of Pedigrees | Genetics

» Find Direction Angle of Vector in R3

» Finding the Angle Between Vectors Not Centered at the Origin | Application

» Find Vector Between Two Points

» Predicting Genotype of Offspring | Cross Probability

» Nucleotide Sequence Determination from Transcription to Translation

» How PCR is Used to Amplify Specific Genes

» Sanger Method Explained

» Frequency of the Normal Versus Ear Tuft Alleles | Genetics

» Probability of Color-Blindness | Genetics

» Someone's Mother Has Four Sons (Riddle Solved)

» Heterozygous, Homozygous, Allele Frequencies

» Mean, Median, and Mode From Grouped Data

» Phenylketonuria Problem | Hardy Weinberg Equilibrium

» Calculate Heterozygous Population Given Recessive Allele Frequency

» Apply the First Law of Thermodynamics

» Work Done by a Gas During Pressure and Volume Change

» Calculate Average Kinetic Energy, Total Transitional Kinetic Energy, RMS Speed of Atoms

» Harriot's Method of Solving Cubics

» Calculate the Molecular Weight of Air

» Convert Decimals into Fractions

» Derivatives of Piecewise Functions

» Variation of Pressure with Elevation | Barometric Equation

» Painter Problem Explained | Little Big League

» Kinetic Energy and Calorimetry Problems

» Heat Flow Through Copper and Steel Rods

» Heat Flow Through a Wooden Door

» Ice Added to Water Phase Change Problem | Heat of Fusion

» Does Adding Sugar to Hot Coffee Affect its Temperature?

» Heat Needed to Raise Water Temperature in a Copper Kettle

» Effect of Temperature on the Period of a Pendulum

» Effect of Temperature on Solids (Length, Area, Volume)

» Calculate the time for the temperature difference to be 10C | Newton's Law of Cooling

» Find Velocity, Volume, and Shape of Stream for Water Leaving a Hole

» Calculating the Speed of Water Flow Through a Hole | Bernoulli's Equation

» Percentage of Iceberg Submerged in Water

» Student-Newman-Keuls Post-Hoc Test (By Hand)

» Dunn's "Q" Test (Post-Hoc Test for Non-Parametric Data)

» Maximum Holding Capacity of a Vessel Before Sinking

» U-tube Pressure Problem | Calculating Pressure

» Classic Buoyancy Problem To Test For Gold | Archimedes Principle

» Calculating the Operating Cost of an Electrical Device

» Classic Problem of a Hydraulic Lift

» Calculating the Pressure at the Bottom of a Pool

» Calculating Restoring Constant of a Torsional Pendulum

» Inelastic Collision Between Block and Spring-Mass System

» Health Benefits of Dates

» Calculating Total Energy of a Mass-Spring System Given the Displacement Equation

» Energy Analysis of a Mass-Spring System | Find the maximum velocity...

» Finding Period of Mass-Spring System Given Displacement, Velocity, and Acceleration

» Calculating Period of Oscillation of a Spring | An 0.80 kg mass hangs...

» Shift and Reflect a Square Root Function | f(x)=(x+5)

» Integrals | Average Value of a Function (Part 1)

» Mass-Spring System | Calculate Spring Constant, Displacement, Period ...

» Circuit 2 | Find the Voltage and Current Across Each Resistor (Part 2)

» Circuits | Find the Voltage and Current Across Each Resistor (Part 1)

» Find the Voltage, Current, and Power for Each Resistor (Question 1; Part 2)

» Find the Voltage, Current, and Power for Each Resistor (Question 1; Part 1)

» Calculating Mass Defect and Nuclear Binding Energy (Question 2)

» Using Fleury's Algorithm

» Euler Paths and Circuits Explained

» Simple Harmonic Motion of a Piston | Frequency

» Calculating Angular Frequency and Frequency of a Mass-Spring System

» Calculating the Speed, Period, and Acceleration of a Satellite

» Verifying Kepler's Third Law

» Speed Required to Shoot a Satellite Into Space

» Calculating the Escape Velocity on the Surface of the Earth

» Convert Between Vertical and Horizontal Transformations | g(x)=a[f(kx)] | Grade 11 Functions

» Using the Gravitational Force Formula

» Find the Image of a Point Transformed | Grade 11 Functions

» Major Parts and Functions of the Human Digestion System

» Identify Horizontal Transformations from Graphs [f(kx)] | Stretch, Compression, Reflection

» SpongeBob "M" Puzzle | How Many Triangles Can You Make Using the Letter M and 3 Straight Lines?

» Finding the Tension of Two Cables Holding a Beam | Consider a nonuniform bar of 200 N...

» Calculating Dilution Factor

» Finding the Tension and Reaction Force at a Pivot

» Finding the Force and Tension Exerted by a Pivoted Beam | Equilibrium Problem

» Finding the Coefficient of Friction Between a Ladder and Floor | Equilibrium Problem

» Calculating the Reaction Forces of a Ladder Against a Wall | Equilibrium, Torque Problem

» Factoring a Quadratic with Two Variables (p+2pq+q)

» Stating Restrictions for Rational Polynomials

» Finding the Forces Acting on a Diving Board (Equilibrium Problem)

» Finding the Minimum Coefficient of Friction to Remain at Equilibrium

» Calculate the Tension in the Ropes

» Spermatogenesis

» Writing a Conservation of Energy Statement for a Rotating Sphere

» Determine the Exact Value of Each Trigonometric Ratio | sin(5/3), csc(11/6), cos(/2)

» Using Energy Analysis to Find Linear and Angular Velocity | When the 30 kg mass has fallen...

» Calculating the Torque, Moment of Inertia, and Angular Acceleration

» Finding Angular Momentum and Angular Frequency

» Problem Involving Moment of Inertia and Angular Momentum

» Calculate the Angular Momentum using Determinants

» Calculating the Rotational Inertia

» Calculate the Torque and Angular Momentum Given Mass, Radius, Force

» Synthetic Division when Denominator is 2x3

» Calculating Everything Possible Related to Circular Motion | Grinding Wheel

» Finding the Minimum Velocity to Remain in Loop | Centripetal Force, Energy Problem

» Finding the Tension and Force of a Mass being Whirled in a Circle

» Rotational Problem Involving Kinematics | Consider a space station...

» Calculating Time when Given Angular Velocity | A disk rotating at 30 rad/s...

» Calculating Angular Acceleration | An automobile is traveling at 60 km/h...

» Calculating Impulse Force (Physics)

» Swinging Steel Ball Strikes A Steel Block | Elastic Collision Force Problem

» Velocities of Colliding Blocks | Elastic Collision

» Convert Quadratic to Standard Form (4 Examples)

» Velocities of Colliding Blocks | Elastic Collision

» Inelastic Collision Problem | Bullet Colliding into Block

» Ballistic Pendulum | Inelastic Collision Problem

» Calculating the Force of a Falling Object | Momentum, Energy, Force Problem

» Center of Mass Problem | A 3.0 kg cat is in a 24 kg boat...

» Find the Resulting Speed | Conservation of Momentum | A 3,000 kg closed boxcar...

» Calculating Velocity Change | Conservation of Momentum | James Bond is skiing...

» When to us -ide, -ate, -ite | Naming Molecules

» Points of Intersection Between a Line and Parabola

» Convert lbf to kg (Pound-force to Kilograms; Part 2)

» Find Velocity and Direction | Conservation of Momentum

» Pellet, Spring, Speed Example | Law of Conservation of Momentum

» Calculate the Acceleration of the Center of Mass

» Calculate the Center of Mass for a distribution of Mass Points

» Elevator falls onto a spring, describe its motion | Work-Energy Problem

» Calculating the Energy Lost by a Bullet Passing Through a Mass | Consider a 10 g bullet passing ...

» Calculating Where a Mass will Stop along Semicircle Track | Place a mass on a track ...

» Compression of a Spring Placed at the Bottom of an Incline | Work-energy Problem

» Finding the Velocity of a Mass after Compressing a Spring

» Maximum Spring Compression From a Sliding Mass | A 3 kg block sliding at 12 m/s ...

» Finding the Velocity of a Mass Down an Incline | Force, Work-Energy (2 Solutions)

» Potential Energy Spring Compression | How far is the spring compressed?

» Calculating Work When Force is Applied Linearly, Parabolically (3 Examples)

» Work Required to Compress a Spring (Linear, Quadratic Force)

» Calculating Work (3 Examples) | Calculate the work done by the force ...

» Acceleration Required to Raise a Mass | A 16 kg monkey wishes to...

» Convert Between Newtons and Pounds (lbm, lbf)

» Calculating of Person Weight on the Moon | W = mg

» Finding the Tension when Accelerating Up or Down | A 12 kg flower pot is hanging ...

» Calculate Maximum Speed of a Bike Riding over a Semicircular Bridge | Forces

» Calculate the Tension of a Cord for an Object Spinning in a Circle

» Speed of a Car on a Banked Road | Normal, Centripetal Forces

» Finding the Period of a Conical Pendulum | Tension, Centripetal Force

» Finding the Coefficient of Friction on a Spinning Surface | A 1 oz. gold coin is placed...

» Calculating Tension in a String Moving in a Circle

» Calculating Centripetal Force and Speed

» Calculating the Acceleration of a System - 2 Cords, 3 Masses

» Acceleration of Double Inclined Plane - Friction Force Problem

» Calculating the Acceleration Given Friction (Example 2)

» Finding the Coefficient of Friction | Forces Sled Problem

» Calculating the Acceleration Given Friction

» Atwood Machine | Tension and Acceleration of the System

» Double Inclined Plane Force Problem | Find the tension in the cord...

» Finding the Acceleration of a System | Tension, cord, F=ma... (Part 2)

» Finding the Acceleration of a Mass | F = ma | Forces, Vectors... (Part 1)

» Projectile Motion Problems | A physicist turned motorcycle... (Question 5)

» Projectile Motion Problems | A baseball is hit at a... (Question 4)

» Projectile Motion Problems | An airplane traveling at... (Question 3)

» Projectile Motion Problems | Suppose that the field is covered... (Question 2)

» Projectile Motion Problems | A soccer player kicks a ball... (Question 1)

» Falling-Body Problems | A ball is observed to pass... (Question 6)

» Falling-Body Problems | You are observing steel balls falling... (Question 5)

» Kinematic Motion in One Dimension | Two trains are traveling along... (Question 3)

» Falling-Body Problems | A boat is passing under... (Question 4) #physics

» Falling-Body Problems | A coconut is dropped... (Question 3)

» Tricky SAT Question | Solved #sat #psat #learning #math #testprep

» Falling-Body Problems | A parachutist descends... (Question 2)

» Do Eggs Contribute to Cholesterol? | Science Explained

» Falling-Body Problems | Ball is Dropped From a Building... (Question 1)

» Peptide Bond Formation | Animation

» Types of Fatty Acid Molecules

» Emergent Properties | #Biology

» Find Endpoint of Line Segment when Given the Midpoint

» PET Scan | How It Works | Animation

» Number of Binomial Trials We Can Expect Before a Success

» The Five Number Summary | Constructing Box-and-Whisker Plot

» Computing Binomial Probabilities

» Binomial Probability (Examples)

» Probability of Rolling a 7 | Binomial Experiment | Craps Game

» Using Expected Value in Business

» Expected Value and Standardized Tests

» What is the Area of the Region Shaded in Red? 3 Circles

» The Expected Value of a Roulette Wheel

» Computing the Probability of the Intersection of Events

» Determining Whether Events Are Independent or Dependent

» Determining the Fair Price of a Lottery Ticket

» Tree diagram to find the probability (Part 2)

» A Frog Falls Into a Pit | Days to Escape Solution

» Volume and Surface Area of a Cone

» The Fibonacci Sequence and the Golden Ratio

» Testing the Divisibility of a Number (8 Techniques)

» Finding Prime Numbers (Sieve of Eratosthenes Method)

» Modulo-m Systems Explained

» Understanding Non-Base 10 Systems (Octal, Hexadecimal, Binary)

» North American Bird Sounds | Compilation

» Quarter Circle Geometry Puzzle | Find The Area

» Understanding Non-Base 10 Systems (Part 1)

» Using Napier's Bones to Multiply

» A Timeline of the Teeth

» Multiplying Using the Galley Method

» Mayan Numeration System

» Babylonian Numeration System

» Write Numbers in Chinese | Chinese Numeration System

» Roman Numeration System

» Egyptian Numeration System

» Housing ratio | Loan-to-value ratio | Debt-to-income ratio

» Magic Math - 1089! (Trick Explained)

» Distinguishing Between Equal and Equivalent Sets

» Finding the Cardinal Number of a Set

» Inductive versus Deductive Reasoning

» Psychic Math Trick Explained

» Calculating Server Tip Quickly Using Mental Math

» Trigonometry Proof - Grade 11 (Hard)

» The Wilcoxon Rank-Sum Test for Independent Samples (Example 2)

» The Wilcoxon SignedRank Test for Dependent Samples (Example 2)

» The Kolmogorov-Smirnov Goodness-of-fit Test

» Can You Solve The Impossible Sum Puzzle?

» 9-31/3+1 = ? (Can You Solve It?)

» Theil's Method to Estimate Slope and Intercept (by hand)

» The Friedman Two-Way Analysis of Variance by Ranks

» Calculating Spearman's Correlation Coefficient (By Hand)

» Bonferroni's Method for Pairwise Multiple Comparisons

» The Kruskal Wallis Test (By Hand)

» Eye Test - Can You Find the Hidden Numbers in this Image?

» The Wilcoxon Rank-Sum Test for Independent Samples

» The Wilcoxon SignedRank Test for Dependent Samples

» Ways to Count with Your Fingers

» Using the Sign Test For Dependent (Paired) Samples

» Optical Illusion: How Many Pencils Do You See?

» 90% Fail to Answer This Correctly! (Math Puzzle)

» Hypothesis Testing - T-Test, Paired, Dependent Data (Example 2)

» Linear Regression: Tests and Confidence Intervals

» Viral Math Problem | Solved Using Algebra

» Iceberg Water Puzzle: Will the Water Level Change?

» Mr. Smith Had Four Daughters (Riddle Solved)

» Testing the Significance of the Correlation Coefficient (r)

» Two-Way ANOVA Testing

» Repeated Measures Analysis of Variance (ANOVA)

» The Tukey Procedure with ANOVA Test

» Using the Combined Gas Law (Question 2)

» Calculating Eta-Squared () After AVOVA Test

» The Scheff Procedure with ANOVA Test

» ANOVA Testing (Given Mean and Standard Deviation; Question 2)

» One-Way ANOVA Testing (Question 1)

» Calculating Conditional Probability

» Compute Probabilities with Combinations (Part 2)

» Determining Probability Using Venn Diagrams

» Applications of Arithmetic Sequences and Series

» Determining If a Sequence is Geometric

» Applications of Geometric Sequences and Series

» Determining Probability Using the Additive Rule

» Top 5 Health Benefits of Goji Berries

» Graphing a Nonlinear Inequality in Two Variables

» Determine If an Ordered Pair Is a Solution to a System of Inequalities

» Solving Applied Problems Using a System of Nonlinear Equations

» Finding the Intersection of a Circle and Parabola Algebraically

» Solving a System of Logarithmic Equations

» Finding the Intersection of a Circle and Line Algebraically

» Using Parametric Equations in the Real World

» Convert Circle / Ellipse Equation into Parametric Equations

» Determine Parametric Equations from a Single Rectangular Equation

» Convert Parametric Equations to Rectangular Using Trig. Identities

» Convert Parametric Equations to Rectangular and Sketch

» Counting to Ten with Fingers (Toddlers)

» Study Force Live Stream

» Converting a Conic Section Equation from Polar Form to Rectangular Form

» Determining Polar Equation of a Conic Given the Eccentricity and Directrix

» Identifying Conic Sections Given in Polar Form

» Solving Applied Problems Involving Hyperbolas

» Graph Parametric Equations Using a Table

» Sketching the Graph of a Hyperbola

» Solving Applications Involving Work

» Solving Applications Involving Forces on an Inclined Plane

» Understanding Static Equilibrium Using Force Vectors

» Decomposing a Vector into Two Orthogonal Vectors (Vector Projection)

» Determine if Vectors are Parallel or Orthogonal (Dot Product)

» Why Vectors are Written in Terms of i and j

» Write Equation of a Parabola Given its Focus and Directrix (Vertical Axis)

» Converting Complex Numbers from Rectangular to Polar Form (Explained)

» Converting a Complex Number from Polar Form to Rectangular Form

» Solve Word Problems Involving the Cosine Law (Question 4)

» Trigonometry Problems Involving Two Right Triangles (Example 3)

» Calculating the Osmolarity of a Solution (Question 2)

» Solve Angle of Elevation Problems in Right Triangles (Part 2)

» 10 Health Benefits of Sumac Spice

» Solving Unusual Types of Trigonometric Equations

» Solving Trigonometric Equations That Are Quadratic in Form

» Verify Identities Using the Product-to-Sum Formulas

» Understanding the Product-to-Sum Formulas

» Multiplying by Conjugates to Verify Identities

» Find the Exact Value Using Cosine Sum-Difference Formula

» Resistivity: Find Diameter and Length of Copper Wire

» Calculate Angular Velocity and Linear Velocity (Part 2)

» Calculate Angular Velocity and Linear Velocity (Part 1)

» Classifying Triangles

» 3 Common Unit Circle Questions

» Gears Turning - Computing the Arc Length Application

» Using Newton's Law of Cooling

» Solving Logistic Growth Applications

» Time it Takes to Double Your Money - Compound Interest

» Find the Interest Rate: Continuous Compound Interest Application

» Expanding Logarithmic Expressions

» Sketch Natural Logarithmic Functions (Step-by-Step)

» Sketch Logarithmic Functions

» Calculating Present Value: Periodic versus Continuous Compounding

» Comparing Continuous Compound to Periodic Compound

» Sketching the Graphs of Exponential Functions Using Transformations

» Sketching Rational Functions

» Identifying Slant Asymptotes

» Sketching Rational Functions Having Removable Discontinuities

» Identifying Horizontal Asymptotes (3 Rules)

» Using Transformations to Sketch the Graphs of Rational Functions

» Identifying Vertical Asymptotes

» Draw Three-Dimensional Objects to Look Three-Dimensional

» Sketching the Graphs of Polynomial Functions (Fifth-Degree Quintic)

» Toronto Bungalow Before and After Renovation

» Using the Intermediate Value Theorem

» Using the Complex Conjugate Pairs Theorem

» Find the roots of a fifth-degree polynomial

» How to find the roots of a fourth degree polynomial (Quartic; Question 2)

» Determining the Real Zeros of Polynomial Functions and Their Multiplicities

» Maximizing Area Functions

» Maximizing Projectile Motion Functions

» Sketching the Graphs of Inverse Functions

» Composition Cancellation Equations

» Determine if a Function is One-to-One

» Find the Domain of a Composite Function (Question 2)

» Find the Domain of a Composite Function (Question 1)

» Determining the End Behavior of Polynomial Functions

» Evaluate Composite Functions Using a Graph

» Finding Combined Functions and Their Domains

» Finding the Intersection of Intervals

» Evaluate Combined Functions Using a Graph

» Evaluating a Combined Function

» Graph Piecewise Function

» Using the Vertical Line Test

» Determining Whether Equations Represent Functions

» Point-slope form, Slope-intercept form, and Standard form (Linear Equations)

» Solving Polynomial Inequalities

» Solving Compound Inequalities

» Solving Equations That Are Quadratic in Form (Disguised Quadratics; Part 2)

» Solving Applications Involving distance, Rate, and Time

» Solving Working Together Problems

» Solving Quadratic Equations by Completing the Square

» Find slope and y-intercept of a Line in Standard Form

» Find the Intercepts of a Circle

» Simplifying Radicals with Negative Radicands

» Simplifying Complex Rational Expressions

» Simplifying Rational Expressions by Factoring

» Dividing Polynomials Using Long Division (Question 2)

» Determining the Intersection and Union of Sets (Introduction)

» Chi-Square Test (Complete Example)

» Chi-Square Test Example

» Hypothesis Testing - Two Dependent Populations (Paired Data)

» The Rule of 78 Explained

» Find Effective Interest Rate of a Simple Discount Note

» Difference Between 2 Means Hypothesis Testing (Question 3)

» Difference Between 2 Means Hypothesis Testing (Question 2)

» Difference Between 2 Means Hypothesis Testing (Question 1)

» Single Mean Hypothesis Testing (Question 3)

» Single Mean Hypothesis Testing (Question 2)

» Single Mean Hypothesis Testing (2 Tail, Z-test; Question 1)

» SAT Mathematics Prep (Part 4)

» SAT Mathematics Prep (Part 3)

» SAT Mathematics Prep (Part 2)

» Kinematic Motion in One Dimension (Question 2)

» Kinematic Motion in One Dimension (Question 1)

» Multiply Numbers by Drawing Lines

» SAT Mathematics Prep. (Part 1; 7 Questions)

» Calculate the adjusted principal after partial payment

» Ordinary and Exact Interest on Loans Calculations

» Find the maturity of a loan

» Calculating Commission and Gross Pay

» Calculating the markup rate

» Calculate markdown costs

» Calculating markup costs

» How to find the derivative by the delta method (Question 9)

» Convert from degrees to degrees, minutes, seconds using your Sharp-EL calculator

» Find the amount credited and balance from partial payments

» Interpret and apply ROG (Receipt-of-Goods) terms

» Interpret and apply EOM (End-of-Month) terms

» Use the Gram-Schmidt process to find an orthonormal basis

» Find coordinate vector from orthonormal basis

» Construct orthonormal sets

» Find a basis for the orthogonal complement

» Orthogonality in Inner Product Spaces

» Properties of inner products

» Find inner product of matrices and polynomial vectors

» Find the norm and distance of vectors based on weighted inner product

» Find inner product generated by a matrix

» Find the weighted Euclidean inner product

» Computing powers of a matrix

» Find eigenvalues of a matrix raised to a power

» Determine the algebraic and geometric multiplicity

» Find a matrix that diagonalizes another (Part 2)

» Find a matrix that diagonalizes another using eigenvalues, eigenvectors (Part 1)

» Show that a matrix is diagonalizable

» Find the Adjoint of a Matrix

» Markov Chains (Eigenvalues and Eigenvectors)

» Transamination and Oxidative Deamination

» Fatty Acid Synthesis

» Steps in Beta Oxidation

» How to find the derivative by the delta method (Question 8)

» ATP Production (Cellular Respiration)

» Regulation of Glycolysis

» Protein Synthesis (Translating mRNA with Codon Chart)

» How Mutations in DNA Affect Proteins

» RNA Synthesis (Transcription)

» Complementary Base Pairs in DNA and RNA

» How Nucleotides Bind Together

» Drawing and Naming a Peptide

» Amino Acids in Acidic or Basic Solution

» Classification of Amino Acids

» Structural Formulas of Amino Acids

» Hydrolysis of Amides

» Naming Amides

» Amidation Reactions (versus Amination)

» Identifying Heterocyclic Amines

» Reactions of Amines

» Boiling Points and Solubility of Amines

» Classifying Amines (Hydrocarbons)

» IUPAC Names for Compounds with Two Functional Groups (amines)

» Common Names of Amines

» IUPAC Names for Amines

» Drawing Sphingomyelin Structures

» Drawing Glycerophospholipid Structures

» Reactions of Lipids During Digestion

» Drawing the Structure for a Triacylglycerol

» Structures and Properties of Fatty Acids

» Base Hydrolysis of Esters

» Acid Hydrolysis of Esters

» Naming Esters

» Writing Esterification Equations

» Neutralization of Carboxylic Acid

» Boiling Points of Carboxylic Acids

» Dissociation of Carboxylic Acids in Water

» Naming Carboxylic Acids

» Glycosidic Bonds in Disaccharides Explained

» Drawing Haworth Structures for Sugars

» Reducing Sugars

» Fischer Projections (Stereoisomers)

» Classifying Monosaccharides

» Chiral Carbons

» Hemiacetals and Acetals (Part 2)

» Hemiacetals and Acetals (Part 1)

» Reduction of Carbonyl Groups

» Tollens' Test for Aldehydes

» Boiling Point and Solubility of Hydrocarbons

» Oxidation of Alcohols

» Dietary Fats (Everything You Need to Know)

» Naming Aldehydes (Hydrocarbons)

» Identifying Aldehydes and Ketones (in Hydrocarbons)

» Naming Ketones (Hydrocarbons)

» Dehydration of Alcohols

» Classifying Alcohols (Organic Chemistry)

» Naming Ethers

» Naming Alcohols

» Naming Phenols

» Naming Aromatic Compounds

» Drawing Polymers and Monomers

» Writing Hydration Reaction

» Writing Equations for Hydrogenation

» Naming Alkenes and Alkynes

» Identifying CisTrans Isomers

» Structural Isomers

» Writing IUPAC Names for Alkanes with Substituents

» Drawing Expanded, Condensed, and Line Angle Structural Formulas for an Alkane

» Properties of Organic Compounds

» Preparation of Buffers Calculations

» Direction of Reaction in Acid-Base Reactions

» pH of Solutions

» Significant Figures and Logarithms

» Practice Names and Formulas of Acids and Bases

» Using Le Chtelier's Principle

» Factors That Affect the Rate of Reaction

» Isotonic, Hypotonic, and Hypertonic Solutions

» Calculating the Osmolarity of a Solution

» Calculating the Freezing Point of a Solution

» Dilution of a Solution (V1C1=V2C2)

» How to backup and restore a MYSQL database through SSH

» Using Mass/Volume Percent to Find Mass of Solute

» Writing Equations for the Formation of an Insoluble Ionic Compound

» Calculating Mass Percent (m/m) Concentration

» Saturated Solutions

» Electrolyte Concentration (Equivalents)

» Teaching my 10-month-old son math

» Partial Pressure of a Gas in a Mixture

» Using Molar Volume to Find Volume at STP

» Using the Combined Gas Law

» Calculating Volume When Pressure Changes (Boyle's Law)

» Calculating Pressure When Temperature Changes (Gay-Lussac's Law)

» What is Blockchain

» Units of Pressure

» Calculating Heat in a Reaction

» Calculating Percent Yield

» Mass of Product from a Limiting Reactant

» Moles of Product from Limiting Reactant

» Calculating Moles in a Reaction

» Calculating the Moles of an Element in a Compound

» Writing the Group Number, Period, and Valence Electron Configuration

» Combining Heat Calculations (Question 2)

» Combining Heat Calculations (Question 1)

» Heat of Vaporization

» Heat of Fusion

» Energy Content for a Food Using Nutrition Facts

» Classifying Mixtures (Pure Substance vs. Mixture)

» Pacman got magic flames and go to smash soccer ball balloons

» Identifying Fission and Fusion

» Medical Applications of Radioactivity

» Radiation Measurement

» Writing an Equation for an Isotope Produced by Bombardment

» Writing Radiation Particles

» Using Uranium/Lead Dating to Estimate the Age of a Rock (Question 2)

» Calculating Mass Defect and Nuclear Binding Energy

» Using Uranium/Lead Dating to Estimate the Age of a Rock

» Radiocarbon Dating Calculations (Question 2)

» Radiocarbon Dating Calculations (Question 1)

» Predicting the Type of Radioactive Decay

» Radioactive Decay Kinetics (Half-life)

» Writing Nuclear Equations for Beta Decay, Positron Emission, and Electron Capture (Part 2)

» Writing Nuclear Equations for Beta Decay, Positron Emission, and Electron Capture (Part 1)

» Writing Nuclear Equations for Alpha Decay

» Checker-Shadow Illusion Explained

» Stoichiometry of Electrolysis

» Calculating Cell Potential (Ecell) under Nonstandard Conditions

» Relating Standard Cell Potential (Ecell) and K (equilibrium constant)

» Relating Change in Gibbs Free Energy (G) and Standard Cell Potential (Ecell)

» Predicting Spontaneous Redox Reactions and Sketching Electrochemical Cells

» Calculating Standard Potentials for Electrochemical Cells (Question 1)

» Balancing Redox Reactions Occurring in Basic Solution

» Half-Reaction Method to Balancing Redox Equations (Question 3)

» Half-Reaction Method to Balancing Redox Equations (Question 2)

» Half-Reaction Method to Balancing Redox Equations (Question 1)

» The Equilibrium Constant and G

» Calculating G under Nonstandard Conditions

» Calculating G for a Stepwise Reaction (Question 1)

» Calculating G for a Stepwise Reaction (Question 2)

» G from Standard Free Energies of Formation

» Calculating the Standard Change in Free Energy for a Reaction Using G=HTS

» Find the cash discount and the net amount using ordinary dating terms (Part 2)

» Find the cash discount and the net amount using ordinary dating terms (Part 1)

» Calculating Standard Entropy Changes

» Calculating Trade Discount Series

» Calculating Gibbs Free Energy Changes and Predicting Spontaneity from H and S

» Create a pie chart by hand

» Calculating Entropy Changes in the Surroundings

» Complex Ion Equilibria (Question 1)

» Predicting the Sign of Entropy Change

» Predicting Precipitation Reactions by Comparing Q and Ksp

» The Effect of pH on Solubility

» Calculating Molar Solubility in the Presence of a Common Ion

» Calculating K from Molar Solubility (AgSO)

» Calculating Molar Solubility from K (Question 2)

» Calculating Molar Solubility from K (Question 1)

» Weak AcidStrong Base Titration pH Curve

» Strong AcidStrong Base Titration pH Curve

» Buffer Range Calculations

» Calculate pH of a Buffer (Weak Base + Conjugate Acid) Using the HendersonHasselbalch Equation

» Calculating the pH Change in a Buffer Solution

» Calculating the pH of a Buffer Solution Using the HendersonHasselbalch Equation

» Calculating the pH of a Buffer Solution (Equilibrium Method, Question 2)

» Calculating the pH of a Buffer Solution (Equilibrium Method, Question 1)

» Determining the Overall Acidity or Basicity of Salt Solutions

» Determining Whether an Cation is Acidic or pH-Neutral

» Determining Whether an Anion is Basic or pH-Neutral

» Eye Test - How Many Triangles?

» Determining the pH of a Solution Containing an Anion Acting as a Base

» Finding the [OH] and pH of a Weak Base Solution

» Finding the [OH] and pH of a Strong Base Solution

» Finding the Percent Ionization of a Weak Acid

» Finding the Equilibrium Constant from pH

» Finding the pH of a Weak Acid Solution

» Finding the [HO] of a Weak Acid Solution

» Calculating [HO] from pH

» Identifying BrnstedLowry Acids and Bases and Their Conjugates

» Calculating pH from [HO] or [OH]

» Using Kw in Calculations

» How to identify similar triangles (Part 1)

» The Effect of a *Temperature* Change on Equilibrium

» The Effect of a *Volume* Change on Equilibrium

» The Effect of a *Concentration* Change on Equilibrium

» Finding Equilibrium Concentrations With a Small Equilibrium Constant

» Finding Equilibrium Partial Pressures Using an ICE Table

» Finding Equilibrium Concentrations from Initial Concentrations and the Equilibrium Constant (Q3)

» Finding Equilibrium Concentrations from Initial Concentrations and the Equilibrium Constant (Q2)

» Finding Equilibrium Concentrations from Initial Concentrations and the Equilibrium Constant (Q1)

» Predicting the Direction of a Reaction by Comparing Q and K

» Finding the Unknown Equilibrium Concentration of a Product or Reactant

» Finding Equilibrium Constants using ICE Table (Question 3)

» Finding Equilibrium Constants using ICE Table (Question 4)

» Finding Equilibrium Constants using ICE Table (Question 2)

» Finding Equilibrium Constants using ICE Table (Question 1)

» Writing Equilibrium Expressions for Reactions Involving a Solid or a Liquid

» Relating Kp and Kc

» Manipulating the Equilibrium Constant to Reflect Changes in the Chemical Equation (Part 2)

» Manipulating the Equilibrium Constant to Reflect Changes in the Chemical Equation (Part 1)

» Expressing Equilibrium Constants for Chemical Equations

» Using an Arrhenius Plot to Determine Kinetic Parameters

» Half-Life Involving Reaction Rates

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» Graphical Analysis to Determine Second-Order Reaction and Rate Constant

» Graphical Analysis to Determine First Order Reaction and Rate Constant

» Use First-Order Integrated Rate Law to Determine Concentration (Question 1)

» Use First-Order Integrated Rate Law to Determine Concentration (Question 2)

» Determining the Order and Rate Constant of a Reaction (Question 2)

» Determining the Order and Rate Constant of a Reaction (Question 1)

» Expressing Reaction Rates

» Horticulture Ratios, Proportions and Conversions (Part 1)

» Horticulture Ratios, Proportions and Conversions (Part 2)

» Find the area using the Simpson's Rule (Question 2)

» Use the midpoint rule to approximate the area (Question 2)

» Use the midpoint rule to approximate the area (Question 1)

» Calculating the Vapor Pressure of a Solution Containing an Ionic Solute (Question 2)

» Calculating the Vapor Pressure of a Solution Containing an Ionic Solute (Question 1)

» Vant Hoff Factor and Freezing Point Depression

» Calculating Osmotic Pressure (Question 2)

» Calculating Osmotic Pressure (Question 1)

» Calculating Boiling Point Elevation

» Calculate the Freezing Point Depression

» Find the perimeter of composite shapes (Part 1)

» Find the perimeter of composite shapes (Part 2)

» Find the perimeter of plane figures

» Reduce ratios and write in higher terms

» Calculating the Vapor Pressure of a Two-Component Solution (Question 2)

» Calculating the Vapor Pressure of a Two-Component Solution (Question 1)

» Calculating the Vapor Pressure of a Solution using Raoults law (Question 3)

» Calculating the Vapor Pressure of a Solution using Raoults law (Question 2)

» Calculating the Vapor Pressure of a Solution using Raoults law (Question 1)

» Eye Test - How Many Squares?

» Converting between Concentration Units (Part 2)

» Which cup will get filled first? (Puzzle Explained)

» Converting between Concentration Units (Part 1)

» Calculating Concentrations (Question 2)

» Calculating Concentrations (Question 1)

» Using Parts by Mass in Calculations (Part 2)

» Using Parts by Mass in Calculations (Part 1)

» Henry's Law of Solubility

» Solubility of Molecules in Hexane

» Relating Density to Crystal Structure (Question 1)

» Solubility of Vitamins in Water

» Relating Density to Crystal Structure (Question 2)

» Using the ClausiusClapeyron Equation to Predict the Vapor Pressure at a Given Temperature (Q2)

» Using the ClausiusClapeyron Equation to Predict the Vapor Pressure at a Given Temperature

» Using the ClausiusClapeyron Equation to Determine Heat of Vaporization from Vapor Pressure (Q2)

» Using the ClausiusClapeyron Equation to Determine Heat of Vaporization (Question 1)

» Find the eigenvectors of a matrix (Question 2)

» Find the eigenvectors of a matrix (Question 1)

» Calculating dosage using Mg/Kg/Day

» Calculating pediatric dosages using Clark's Rule

» Calculating pediatric dosages using Fried's rule

» Calculate the correct day supply from a prescription

» Calculate the quantity of ingredient from a prescription

» Find the eigenvalues of a matrix (Part 2)

» Calculate the quantity of medicine to dispense

» Find the eigenvalues of a matrix (Part 1)

» Applying the Dimension Theorem for Matrices

» Math Hacks (Part 2)

» Find the basis and dimension for a vector space

» Using the Heat of Vaporization in Calculations (Part 2)

» Using the Heat of Vaporization in Calculations (Part 1)

» Hydrogen Bonding and Boiling Points

» DipoleDipole Forces (CI, CHCl, and HCl; Question 2)

» DipoleDipole Forces (CO, CHCl, CH; Question 1)

» Draw Venn diagrams for sets

» Find the general solution to a nonhomogeneous system

» Calculate the number of doses

» Calculating dosage using Young's rule

» Find a basis for the row and column space of a matrix

» Find the rank, nullity, and basis for the nullspace of a matrix

» Math Hacks (Part 1)

» Solve union and intersection of sets

» Understanding Complement Sets

» Determine if matrices form a basis (Question 2)

» Determine if vectors form a basis (Question 1)

» Represent a vector using different bases

» Show that vectors in a set are linearly dependent (Part 3)

» Predicting Bond Order

» Ridiculous SCIATICA relieved in ONE VISIT by Orange County Chiropractor

» Hybridization and Bonding Scheme (Ethene, CO, and I, Part 3)

» Hybridization and Bonding Scheme (Part 2)

» Calculation for irrigating solutions, soaks, and oral feedings

» Hybridization and Bonding Scheme (BrF and XeF; Part 1)

» Determine if vectors span in 3D space

» Determining Molecule Polarity (NH, BH, CF)

» Calculating Atomic Mass (Question 3)

» Show linear combination of vectors

» Use row reduction to compute a 44 determinant

» Find the orthogonal vector using vector projection

» Find the determinant of a 44 matrix by cofactor expansion (Question 2)

» Find the inverse of a matrix using its adjoint

» Find the cofactor matrix (22 and 33)

» Find the determinant of a 33 matrix using cofactor expansion (Question 2)

» Find the determinant of a 33 matrix by cofactor expansion (Question 1)

» Predicting the Shape of Larger Molecules (acetic acid and methanol)

» Predicting Molecular Geometries of Ions (ICl and I)

» Predicting Molecular Geometries (PCl and Cl(NO))

» Find the shortest distance between skew lines (Method 2, Question 2)

» Find the distance between two parallel planes

» Find the angle between two planes

» Find the point where a line intersects a plane

» Find the equation of a plane in 3D space

» Find the shortest distance between skew lines (Method 1, Question 1)

» Show that lines in 3D space are skew lines

» Find the equation of a line in 3D space

» Find the subsets of a set

» Use the cross product to calculate torque

» Determine the volume of a parallelepiped

» Use the cross product to find the area of a triangle

» Find a vector perpendicular to a plane using the cross product

» Find the scalar and vector projection of vectors in 3D (Work, Part 2)

» Find the scalar and vector projection of vectors in 3D (Part 1)

» Find the angle between two vectors (in 3D) using the dot product (Part 2)

» Find the tension and magnitude of wires using vectors

» How to graph the polar equation of a conic (Hyperbola, Question 4)

» Solve science-based word problems using anti-derivatives in calculus

» How to find truth value from a written statement (Question 3, P Q)

» Calculate the strength of a solution

» How to determine the amount of solute in a given amount of solution

» How to determine the amount of solution that contains a given amount of solute

» How to find truth value without a truth table (Part 2)

» How to find truth value without a truth table (Part 1)

» How to find truth value from a written statement (Question 2, ~P (~Q P))

» How to find truth value from a written statement (Question 1, P Q)

» How to construct a truth table from a symbolic statement (Question 2)

» How to construct a truth table from a symbolic statement

» VSEPR Theory and the Basic Shapes

» Writing Lewis Structures for Compounds Having Expanded Octets (Part 2, HPO)

» Calculating Change in Enthalpy from Bond Energies (Question 2)

» Write a compound statement in symbolic form

» Calculating Change in Enthalpy from Bond Energies (Question 1)

» How to solve *MINimization* problems via the Simplex Method using the theorem of duality

» How to use the simplex method to solve maximization problems (Question 6, Easy)

» How to evaluate radian angles using COSINE, special triangles, the unit circle (Part 2)

» How to solve optimization problems in calculus (Question 8)

» How to integrate trigonometric functions containing even powers (Question 2)

» How to integrate using inverse trigonometric substitution (Question 5)

» How to solve quadratic problems involving electricity

» How to compute z-scores

» How to use and interpret margin of error

» How to find scores at a specified standard deviation from the mean

» Calculate the midrange

» How to calculate the mean for a frequency distribution

» Finding the median for a frequency distribution

» How to calculate probabilities of *independent* events

» How to calculate probabilities of *dependent* events

» How to find the conditional probability

» Drawing Resonance Structures and Assigning Formal Charge for Organic Compounds (Question 2)

» How to use the simplex method to solve maximization problems (Question 5)

» How to transform linear absolute value equations

» How to negate a statement (Introduction to logic)

» How to calculate the odds in favor and the odds against

» How to determine if a statement represents a compound (Introduction to logic)

» How to calculate the effective interest rate

» How to setup the initial simplex tableau

» How to use the simplex method to solve maximization problems (Question 4, Hard)

» How to use the simplex method to solve maximization problems (Question 3, Medium)

» How to use the simplex method to solve maximization problems (Question 2, Easy)

» How to use the simplex method to solve maximization problems (Question 1, Easy)

» Assigning Formal Charges to Atoms in Molecules (Question 1)

» How to find the magnitude and direction of a 3D vector

» How to find the distance between two points in 3D

» Writing Resonance Structures

» Writing Lewis Structures for Polyatomic Ions

» How to solve business-related percentage word problems (Part 2)

» How to solve business-related percentage word problems (Part 1)

» How to find the tangent to polar curves

» How to solve allocation problems

» Use matrices to solve electrical circuits

» Use matrices to balance a chemical equation

» How to find the absolute maximum/minimum using partial derivatives (with Visuals, Question 3)

» How to calculate iterated integrals (double integrals)

» How to find the absolute maximum/minimum using partial derivatives (Question 2)

» How to find the absolute maximum/minimum using partial derivatives (Question 1)

» How to find the local maximum/minimum and saddle points of a function (Question 2)

» How to find the local maximum/minimum and saddle points of a function (Question 1)

» How to find the critical points of a function using partial derivatives

» How to find the tangent plane and normal line using partial derivatives (Part 2)

» How to find the tangent plane and normal line using partial derivatives (Part 1)

» How to find the maximum value of a directional derivative in 3D

» How to find the maximum value of a directional derivative in 2D (Question 2)

» How to find the maximum value of a directional derivative in 2D (Question 1)

» How to find the gradient of a function in 3D (Part 2)

» How to find the gradient of a function in 3D (Part 1)

» How to find the gradient of a function in 2D

» How to find the directional derivative of a function (Question 2)

» Chances of winning the EuroJackpot

» Chances of winning the SuperEnalotto (Italian lottery)

» Chances of winning the EuroMillions lottery

» How to find the directional derivative of a function (Question 1)

» How to use the chain rule with partial derivatives (Part 2)

» How to use the chain rule with partial derivatives (Introduction, Part 1)

» How to find the second partial derivative of a function

» Nine longest words in the English language (with pronunciations)

» How to calculate the probability of events not mutually exclusive events

» How to calculate the probability of mutually exclusive events

» How to calculate sample variance and standard deviation

» How to use the exponential density function (Part 2)

» How to use the exponential density function (Part 1)

» How to use z-score to find the area under a normal curve (Part 2)

» How to find the median of a dataset

» How to calculate the probability of an event NOT occurring

» How to compute probabilities with combinations

» Chances of winning the Lotto Max lottery

» Chances of winning the Mega Millions lottery

» Chances of winning the Lotto 6/49 lottery

» Chances of winning the Powerball lottery

» How to rearrange literal formulas (Part 3)

» How to analyze and graph a cubic function (Question 3, Hard)

» How to analyze and graph a cubic function (Question 2, Medium)

» How to analyze and graph a cubic function (Question 1, Easy)

» How to compute probabilities with permutations

» Classifying Bonds as Pure Covalent, Polar Covalent, or Ionic using Electronegativities

» How to graph quadratic and cubic absolute functions (Part 2)

» How to solve inequalities involving two or more absolute expressions (Question 2)

» How to solve inequalities involving two or more absolute expressions (Question 1)

» How to graph linear absolute functions

» How to solve LINEAR inequalities with absolute values (Part 3)

» How to solve equations involving two or more absolute expressions (Question 2)

» How to solve equations involving two or more absolute expressions (Question 1)

» Understanding factorial notation

» How to calculate combinations with the fundamental counting principle

» Calculate permutations of duplicate items

» How to distinguish between permutations and combinations (Part 2)

» How to find the partial derivative of a function (Implicit Differentiation, Part 3)

» How to find the partial derivative of a function (Part 2)

» How to find the partial derivative of a function (Part 1)

» Predicting Relative Lattice Energies

» How to calculate the break-even point

» How to use intercepts to graph linear equations

» Using the Lewis Model to Predict the Chemical Formula of an Ionic Compound

» How to solve LINEAR inequalities (Part 2)

» How to use your calculator to compute complex fractions and expressions

» Determining Metallic Character based on Periodic Table Trends

» Determining First Ionization Energy based on Periodic Table Trends (Part 2)

» Determining First Ionization Energy based on Periodic Table Trends (Part 1)

» Determining Ion Atomic Size by Comparison

» Electron Configurations and Magnetic Properties for Ions (Part 2)

» Electron Configurations and Magnetic Properties for Ions (Part 1)

» Determine Atomic Size based on Periodic Table Trends

» Writing Electron Configurations from the Periodic Table

» Identify Valence Electrons and Core Electrons

» Writing Orbital Diagrams

» Writing Electron Configurations (Part 2)

» Writing Electron Configurations (Part 1)

» Wavelength of Light for a Transition in the Hydrogen Atom (Question 3)

» How to write the terms of a Fourier series given a waveform (Numerical Method)

» How to write a Fourier series for any period (Period of 2L)

» Wavelength of Light for a Transition in the Hydrogen Atom (Question 2)

» How to find the least common multiple

» Find the greatest common divisor

» How to find the prime factorization using a factor tree

» Wavelength of Light for a Transition in the Hydrogen Atom (Question 1)

» Quantum Numbers (Part 2)

» Quantum Numbers (Part 1)

» How to calculate theoretical probability (Part 2)

» How to calculate empirical probability

» Calculate the number of possible combinations

» How to transpose a matrix

» How to find the trace of a matrix

» How to distinguish between permutations and combinations (Part 1)

» How to use the formula for permutations

» How to find the area and circumference of a circle

» How to find the derivative of inverse functions

» How to find the binomial coefficient

» How to use the fundamental counting principle

» A Quick Lesson on Applying the Order of Operations

» How to prove by mathematical induction (Part 1)

» How to graph the polar equation of a conic (Hyperbola, Question 3)

» How to graph the polar equation of a conic (Parabola, Question 2)

» How to graph the polar equation of a conic (Ellipse, Question 1)

» How to find the terms of a geometric sequence

» How to find the terms of an arithmetic sequence (Part 2)

» Understanding Summation Notation

» How to write the terms of a sequence from the general term

» How to find the derivative by the delta method (Question 7)

» How to identify conic sections without rotating axes

» Write an equation of a rotated conic section (ellipse) in standard form

» How to rotate and graph an equation using the rotation of axes formula

» How to identify a conic section without completing the square

» How to solve a word problem involving parabolas

» How to find the equation of a parabola from its focus and directrix

» Graph a hyperbola in expanded form

» How to graph a hyperbola centered at the origin

» How to find the derivative by the delta method (Question 6)

» How to solve a word problem involving ellipsis

» How to find the determinant of a 44 matrix by cofactor expansion (Question 1)

» Using invertible matrices with cryptograms

» How to solve a system by inversing a matrix

» How to transform an image using matrices

» Solving matrix equations

» How to solve a system with fewer equations than variables

» How to use Gaussian elimination to solve a system with infinite solutions

» How to multiply a matrix by a scalar

» How to write constraints in linear programming

» How to graph a system of linear inequalities

» How to solve a linear system by Gauss-Jordan elimination

» How to solve linear systems using Gaussian elimination with back substitution

» How to find the vector projection

» How to find the unit vector

» How to find the angle between two vectors (in 2D) using the dot product (Part 1)

» How to find the dot product of two vectors in 2D

» Add and subtract vectors (with scalar multiplication)

» How to multiply, divide, and power complex numbers in trigonometric polar form

» How to find the absolute of a complex number

» How to graph polar equations using symmetry (lemniscate)

» How to graph polar equations using symmetry (rose curve)

» How to graph polar equations using symmetry limaon

» How to plot polar coordinates with radian angles

» Find the area of an oblique triangle

» How to solve problems involving circles and the Pythagorean theorem

» How to find the area of a trapezoid

» How to solve unknown angles with parallel lines (Part 4)

» How to solve unknown angles with parallel lines (Part 3)

» How to solve unknown angles with parallel lines (Part 2)

» How to solve unknown angles with parallel lines (Part 1)

» Parallel Lines Angle Analysis

» How to solve trigonometric equations with *multiple angles* and special triangles (Part 2)

» How to find the lowest common denominator (2 methods)

» How to common factor expressions with fractions

» How to factor by grouping (Part 3)

» How to factor by grouping (Part 2)

» How to solve an exponential equation using the quadratic formula

» How to solve trigonometric equations with *multiple angles* and special triangles (Part 1)

» How to solve trigonometric equations using identities (Multiple Angles, Radians, Part 5)

» How to expand algebraic expressions (simplifying polynomials)

» How to use sum-to-product formulas with sine and cosine

» How to use half-angle formulas to find an exact value

» How to verify a trigonometric identity using multiple identities

» How to work with Zero and Negative Exponents

» How to solve word problems involving vectors (Velocity Vectors, Part 2)

» How to solve word problems involving vectors (Part 1, Force-Related)

» How to solve word problems involving the sine law

» How to reduce the power of a trigonometric function

» How to use double angle formulas to find exact values

» How to graph a secant function

» How to graph a cosecant function (y = csc(x+/4))

» Solve De Broglie Wavelength Problems

» Arrange in Increasing Order the Wavelength, Energy, and Frequency

» Solve Photon Energy Problems (Question 3)

» Solve Photon Energy Problems (Question 2)

» Solve Photon Energy Problems (Question 1)

» Problems involving Wavelength and Frequency

» How to substitute values into equations and formulas

» Change in Enthalpy and Standard Enthalpies of Formation (Part 3)

» Change in Enthalpy and Standard Enthalpies of Formation (Part 2)

» How to convert scientific notation to decimal notation

» Change in Enthalpy and Standard Enthalpies of Formation (Part 1)

» How to use the scale factor to find the area in similar triangles

» How to identify similar triangles (Part 2)

» How to simplify expressions containing parentheses, square, and curly brackets (Part 1)

» How to find the derivative by the delta method (Question 5)

» How to setup and solve quadratic word problems (Part 2)

» How to setup and solve quadratic word problems (Part 1)

» How to evaluate complicated limits using infinite series

» How to find the general formula for a Maclaurin series (f(x) = e; Question 4)

» How to verify the center of a circle with known points

» Proving Diagonals of a Rhombus Bisect at 90

» Proving Midpoint Properties of Trapezoids

» Proving Midpoint Properties of Quadrilaterals

» How to find the general formula for a Taylor series around a

» How to find the general formula for a Maclaurin series (f(x) = sin(x); Question 3)

» How to verify that midpoints of triangles are parallel

» How to verify the centroid of a triangle

» How to determine whether a point lies within a circle

» How to apply slope, midpoint, and length to solve problems (Question 2)

» How to apply slope, midpoint, and length to solve problems (Question 1)

» How to find the length of a median in a triangle

» How to use the distance formula to solve problems

» How to translate words into algebra

» How to classify quadratic equations

» Standard Enthalpies of Formation

» Measuring Change in Enthalpy in a Coffee-Cup Calorimeter (Question 2)

» How to write a Fourier series to represent a wave (Sawtooth Wave; Question 2)

» How to find the general formula for a Maclaurin series (Question 2)

» How to determine waveform symmetries: even, odd, and half-wave

» How to graph a tangent function

» How to use period functions to model behavior

» How to graph a cotangent function

» Measuring Change in Enthalpy in a Coffee-Cup Calorimeter (Question 1)

» How to find the general formula for a Maclaurin series (Question 1)

» How to convert units of any rate to another (Part 1)

» How to calculate the number of ATP molecules produced during beta oxidation (Odd chain)

» How to calculate the number of ATP molecules produced during beta oxidation (Even, Question 2)

» How to calculate the number of ATP molecules produced during beta oxidation (Even, Question 1)

» How to find co-terminal angles in degrees and radians

» How to use co-function identities

» How to solve a rational inequality

» Change any logarithm into a common log ( log )

» Stoichiometry Involving Change in Enthalpy

» How to solve a quadratic inequality (Question 2)

» Measuring Change of Energy in a Bomb Calorimeter (Question 1)

» How to solve a quadratic inequality (Question 1)

» Measuring Change of Energy in a Bomb Calorimeter (Question 2)

» Measuring Change of Energy in a Bomb Calorimeter (Question 3)

» Exothermic and Endothermic Processes

» PressureVolume Work (Part 2)

» PressureVolume Work (Part 1)

» How to find the radius of convergence of a power series

» Calculating Thermal Energy Transfer (Question 2)

» Calculating Thermal Energy Transfer (Question 1)

» Temperature Changes and Heat Capacity (Part 2)

» Temperature Changes and Heat Capacity (Part 1)

» How to use the *ratio test* to determine convergence of a power series (Part 2)

» How to find the domain of a function of n variables

» How to test for convergence using the *root test* with infinite series

» How to test for divergence using the *limit test* with infinite series (Part 2)

» How to test for convergence in a geometric series

» How to test for convergence in alternating and recursively-defined sequences

» How to find the derivative by the delta method (Question 4)

» Internal Energy, Heat, and Work

» How to test for convergence in a sequence with limits (Part 2)

» How to test for convergence in a sequence with limits (Part 1)

» Multiplying large numbers

» Multiply numbers with decimals

» Adding large numbers

» How to subtract large numbers

» Add and subtract numbers with decimals

» How to write the general formula for sequences / infinite series

» How to perform long division for polynomials (Question 1)

» How to perform long division / synthetic division for polynomials (Question 2)

» How to apply the linear factorization theorem

» How to find the roots of a fourth-degree polynomial (quartic)

» How to use the rational zero theorem (Part 1)

» How to use the rational zero theorem to find the roots of a polynomial (Part 2)

» How to use the remainder theorem to evaluate a polynomial function

» How to evaluate and simplify a difference quotient

» How to use the FOIL method to multiply binomials

» How to find the domain of a two variable function

» How to solve equations that are in quadratic form

» How to divide by long division with remainders

» How to write a Fourier series to represent a wave (Square Wave; Question 1)

» How to divide by long division

» How to combine like-terms in algebraic expressions

» How to determine the difference between an algebraic and transcendental expression

» How to determine the degree of a term or expression

» How to identify constants in algebraic expressions

» Calculating Grahams Law of Effusion

» Root Mean Square Velocity (Question 2)

» Root Mean Square Velocity (Question 1)

» Using Molar Volume in Gas Stoichiometric Calculations (Question 2)

» Using Molar Volume in Gas Stoichiometric Calculations (Question 1)

» How to solve second-order differential equations by the Laplace transform (Question 2)

» How to integrate a power series function

» How to multiply or divide two power series

» How to add or subtract two power series

» How to write a Taylor series expansion for a function (Question 2)

» How to write a Taylor series expansion for a function (Question 1)

» How to write a Maclaurin series expansion for a function (Question 3)

» How to write a Maclaurin series expansion for a function (Question 2)

» How to write a Maclaurin series expansion for a function (Question 1)

» How to use the *ratio test* to determine convergence of a power series (Part 1)

» How to test for convergence using the Cauchy ratio test with infinite series (Part 2)

» How to test for convergence using the Cauchy ratio test with infinite series (Part 1)

» How to test for divergence using the *limit test* with infinite series (Part 1)

» How to test for convergence using the partial sum test with infinite series

» How to find a numerical solution of second-order differential equations

» How to evaluate expressions with absolute values

» How to solve a system of equations with fractional coefficients (Question 2)

» How to solve a system of equations with literal coefficients

» How to find a numerical solution using the Runge-Kutta Method

» Gases In Chemical Reactions (Question 2)

» Gases In Chemical Reactions (Question 1)

» Collecting Gases over Water (Question 2)

» Collecting Gases over Water (Question 1)

» How to use the modified Euler's method with predictor-corrector steps

» How to solve electrical problems by the Laplace transform (DC Source, Question 5)

» How to solve electrical problems by the Laplace transform (AC Source, Question 4)

» How to solve electrical problems by the Laplace transform (DC Source, Question 3)

» Partial Pressure and Mole Fractions (Question 2)

» Partial Pressure and Mole Fractions (Question 1)

» Total Pressure and Partial Pressures (Question 2)

» Total Pressure and Partial Pressures (Question 1)

» Molar Mass of a Gas (Question 2)

» Molar Mass of a Gas (Question 1)

» How to solve electrical problems by the Laplace transform (DC Source, Question 2)

» Solving Density Problems (Question 3)

» How to solve electrical problems by the Laplace transform (DC Source, Question 1)

» Solving Density Problems (Question 2)

» Solving Density Problems (Question 1)

» Solve Ideal Gas Law Problems (Part 2; Question 3)

» Solving Ideal Gas Law Problems (Part 2, Question 2)

» Solving Ideal Gas Law Problems (Part 2, Question 1)

» Using Oxidation States to Identify Oxidation and Reduction

» Assigning Oxidation States (Part 2)

» Writing Equations for AcidBase Reactions Involving a Weak Acid (Question 2)

» Writing Equations for AcidBase Reactions Involving a Weak Acid (Question 1)

» Writing Complete Ionic and Net Ionic Equations (Part 2)

» Writing Equations for AcidBase Reactions Involving a Strong Acid (Question 1)

» Writing Equations for AcidBase Reactions Involving a Strong Acid (Question 2)

» Writing Equations for Precipitation Reactions (Question 4)

» Writing Equations for Precipitation Reactions (Question 3)

» Writing Equations for Precipitation Reactions (Question 2)

» Writing Equations for Precipitation Reactions (Question 1)

» Solving Ideal Gas Law Problems (Part 1)

» Solving Avogadros Law Problems (V1/n1 = V2/n2)

» Calculating Volume When Temperature Changes (Charles' Law)

» How to Factor a Difference of Squares

» How to solve second-order differential equations by the Laplace transform (Question 1)

» How to solve first-order differential equations by the Laplace transform (Question 2)

» How to solve first-order differential equations by the Laplace transform (Question 1)

» How to find the inverse transforms of a function (Question 3)

» How to find the inverse transforms of a function (Question 2)

» How to find the inverse transforms of a function (Question 1)

» How to find the Laplace Transform of a function using a table

» How to find the Laplace Transform of an integral

» How to find the Laplace Transform of a second derivative

» How to find the Laplace Transform of a first derivative function (Question 3)

» Boyles Law (P1V1 = P2V2)

» Converting between Pressure Units

» Writing Equations for Combustion Reactions

» Identifying Redox Reactions, Oxidizing Agents, and Reducing Agents (Part 3)

» Identifying Redox Reactions, Oxidizing Agents, and Reducing Agents (Part 2)

» Identifying Redox Reactions, Oxidizing Agents, and Reducing Agents (Part 1)

» Assigning Oxidation States (Part 1)

» Writing Equations for Gas-Evolution Reactions

» How to find the Laplace Transform of several terms

» How to find the Laplace Transform of a function (Question 2)

» How to find the Laplace Transform of a function (Question 1)

» How to sketch an equation with three variables

» How to find the area of a polar region (Question 2)

» How to convert between rectangular and polar coordinates (Radians, Part 3)

» How to find the arc length for parametric curves

» How to convert parametric equations to cartesian equations

» How to solve a crime using differential equations

» How to solve exponential growth and decay with differential equations (Question 3)

» How to solve exponential growth and decay with differential equations (Question 2)

» How to calculate instantaneous current in an overdamped RLC circuits

» How to calculate instantaneous current in underdamped RLC circuits

» How to setup and solve differential equation problems (Question 4)

» How to setup and solve differential equation problems (Question 3)

» How to setup and solve differential equation problems (Question 2)

» How to setup and solve differential equation problems (Question 1)

» Writing Complete Ionic and Net Ionic Equations (Part 1)

» Predicting Whether an Ionic Compound Is Soluble

» Solving Solution Stoichiometry Problems (Question 2)

» Solving Solution Stoichiometry Problems (Question 1)

» Using Molarity in Calculations

» Series RL and RC Circuits with differential equations (Question 4)

» How to find the median of a probability distribution

» How to find the mean of the exponential density function

» How to find the average value of a probability density function

» How to setup probability density functions

» How to find the complete solution of a second-order differential equations (Question 3)

» Limiting Reactant and Theoretical Yield (Question 4)

» Limiting Reactant and Theoretical Yield (Question 3)

» How to find the complete solution of a second order differential equations (Question 2)

» How to find the complete solution of a second-order differential equations (Question 1)

» How to prove the complementary function and particular integral of a differential equation

» Limiting Reactant and Theoretical Yield (Question 2)

» How to find the general solution of a third-order differential equation

» How to find the particular solution of a second-order differential equation

» Limiting Reactant and Theoretical Yield (Question 1)

» The Dangers of Headphones

» How to solve second-order differential equations with right side zero (Part 2)

» How to solve second-order differential equations with right side zero (Part 1, Real Roots)

» How to solve second-order differential equations (Question 2)

» How to solve second-order differential equations (Question 1)

» How to express current in an RL Series connected to an alternating voltage source

» Series RL and RC Circuits with differential equations (Question 3)

» How to solve first-order differential equations (Part 2)

» Identifying separable equations

» Solving Stoichiometry Problems (Question 4)

» Solving Stoichiometry Problems (Question 3)

» Solving Stoichiometry Problems (Question 2)

» Solving Stoichiometry Problems (Question 1)

» The importance of significant figures

» Series RL and RC Circuits with differential equations (Question 2)

» Series RL and RC Circuits with differential equations (Question 1)

» How to set up first-order differentials equations (Question 1)

» How to set up first-order differentials equations (Question 2)

» How to find the equation of orthogonal trajectories using differential equations

» How to derive the exponential growth to an upper limit formula

» How to solve exponential growth and decay with differential equations (Question 1)

» Balancing Chemical Equations Containing Ionic Compounds with Polyatomic Ions

» Balancing Chemical Equations (Question 4)

» Balancing Chemical Equations (Questions 2, 3)

» Balancing Chemical Equations (Question 1)

» Determining an Empirical Formula from Combustion Analysis (Question 2)

» Determining an Empirical Formula from Combustion Analysis (Question 1)

» How to reduce nonlinear equations to linear form using Bernoulli's Equation

» Calculating a Molecular Formula from an Empirical Formula and Molar Mass (Part 2)

» Calculating a Molecular Formula from an Empirical Formula and Molar Mass (Part 1)

» How to solve first-order linear differential equations (Part 3)

» How to solve first-order linear differential equations (Part 2)

» How to solve first-order linear differential equations (Part 1)

» Obtaining an Empirical Formula from Mass Percent (Part 3)

» Obtaining an Empirical Formula from Mass Percent (Part 2)

» Obtaining an Empirical Formula from Experimental Data (Part 1)

» Identifying Place Values

» How to write any number in scientific notation (Part 2)

» Mass Percent Composition (Part 2)

» Chemical Formulas as Conversion Factors (Question 3)

» Chemical Formulas as Conversion Factors (Question 2)

» Chemical Formulas as Conversion Factors (Question 1)

» How to solve first-order homogeneous differential equations

» How to recognize a homogenous differential equation

» How to solve exact first order differential equations (Part 2)

» How to solve exact first-order differential equations (Part 1)

» How to solve differential equations with conditions (Question 2)

» How to solve differential equations with conditions (Question 1)

» How to solve first-order differential equations (Part 1)

» How to use Euler's method to numerically solve differential equations (Part 2)

» How to determine the slope field of differential equations

» How to check the solution of a differential equation

» How to determine the degree of differential equations

» How to find the derivative by the delta method (Question 3)

» How to find the area using the Simpson's Rule (Question 1)

» How to find the area using the prismoidal formula

» How to find the area using the trapezoidal rule

» How to find the area using the average ordinate method

» How to integrate improper integrals

» Mass Percent Composition (Part 1)

» Converting Between Mass and Number of Molecules (Question 3)

» Converting Between Mass and Number of Molecules (Question 2)

» Converting Between Mass and Number of Molecules (Part 1)

» Calculating Formula Mass (Molar Mass)

» How to tell when an integral converges or diverges

» How to integrate using inverse trigonometric substitution (Question 9)

» How to integrate using inverse trigonometric substitution (Question 8)

» How to integrate using inverse trigonometric substitution (Question 4)

» How to integrate using inverse trigonometric substitution (Question 7)

» How to integrate by algebraic substitution (Question 3)

» How to integrate by algebraic substitution (Question 2)

» How to integrate by algebraic substitution (Question 1)

» How to separate fractions into partial fractions (Question 4)

» How to separate fractions into partial fractions (Question 3)

» How to separate fractions into partial fractions (Question 2, Repeating)

» How to separate fractions into partial fractions (Question 1, Non-repeating)

» How to integrate fractions with a quadratic denominator (Question 2)

» How to integrate fractions with a quadratic denominator (Question 1)

» How to integrate improper rational fractions

» How to use the laws of exponents to simplify an expression (Part 3)

» How to write any complex number in polar form (and vice versa)

» How to integrate by parts (Part 2)

» 10 Health Benefits of Kiwi Fruit

» How to integrate trigonometric functions containing even powers (Question 1, Sine Squared x)

» How to find the root mean square value

» How to integrate logarithmic functions

» How to integrate exponential functions

» How to integrate trigonometric functions

» How to solve combined variation application problems (Part 3)

» How to solve combined variation application problems (Part 2)

» How to solve combined variation application problems (Part 1)

» Naming Binary and Oxyacids

» Naming Molecular Compounds

» Naming Ionic Compounds That Contain a Polyatomic Ion

» Naming Ionic Compounds Containing a Metal With More Than One Type of Cation

» Naming Ionic Compounds Containing a Metal With Only One Type of Cation

» How to find the derivative of exponential functions (Part 2)

» How to use logarithms to differentiate non-logarithmic expressions

» How to find the derivative of natural logarithmic functions (Part 2)

» How to find the derivative of logarithmic functions (Part 2)

» How to find the derivative of logarithmic functions (Part 1)

» How to find the derivative of inverse trigonometric functions (Part 3)

» How to find the derivative of secant and cotangent functions (Part 2)

» How to find the derivative of secant and cotangent functions (Part 1)

» Find the derivative of tangent functions

» Writing Formulas for Ionic Compounds (Part 2)

» How to use implicit differentiation (Part 4)

» Writing Formulas for Ionic Compounds (Part 1)

» Classifying Substances as Atomic, Molecular Elements, Molecular, Ionic Compounds

» How to find the derivative of cosine functions

» How to find the derivative of sine functions

» How to compute the polar moment of inertia using the disk method

» How to round significant figures when you have 5

» How to compute the polar moment of inertia using the shell method

» Molecular and Empirical Formulas

» The Mole Concept (Question 3)

» The Mole Concept (Question 1)

» How to measure cardiac output with integrals (Question 1)

» How to compute moment of inertia using integrals (Question 2)

» How to compute moment of inertia using integrals (Question 1)

» Converting between Mass and Number of Atoms (Part 3)

» Converting between Mass and Number of Atoms (Part 2)

» Converting between Mass and Number of Atoms (Part 1)

» How to find the amount of work needed using integrals (Question 2)

» Converting between Mass and Amount Number of Moles (Part 2)

» Converting between Mass and Amount (Number of Moles) (Part 1)

» Converting between Number of Moles and Number of Atoms

» How to find the amount of work needed using integrals (Question 1)

» Calculating Atomic Mass (Question 2)

» Calculating Atomic Mass (Question 1)

» How to express fluid pressure force as an integral (Part 5)

» How to express fluid pressure force as an integral (Part 4, Triangle Dam)

» How to express fluid pressure force as an integral (Part 3, Trapezoid Dam)

» How to express fluid pressure force as an integral (Part 2, Semi-circle Dam)

» How to express fluid pressure force as an integral (Part 1, Rectangle Dam)

» How to find the centroid of solids with integrals (Question 1)

» Predicting the Charge of Ions

» Atomic Numbers, Mass Numbers, and Isotope Symbols

» Law of Multiple Proportions

» How to graph polar coordinates with negative values

» How to convert between rectangular and polar coordinates (Part 2)

» How to convert between rectangular and polar coordinates (Part 1)

» Law of Definite Proportions

» How to find the centroid between two curves (Question 2)

» How to find the centroid between two curves (Question 1)

» How to find the centroid of simple, composite shapes

» Density as a Conversion Factor (Part 2)

» Density as a Conversion Factor (Part 1)

» Unit Conversions Involving Units Raised to a Power (Part 3)

» Unit Conversions Involving Units Raised to a Power (Part 2)

» Unit Conversions Involving Units Raised to a Power (Part 1)

» Significant Figures in Calculations (Part 2)

» Significant Figures in Calculations (Part 1)

» How to find the equation of a cosine curve (Question 2)

» How to find the surface area of solids using integrals (Part 2)

» Determining the Number of Significant Figures in a Number

» Reporting the Correct Number of Digits from a Graduated Cylinder

» How to calculate the arc length formula of a function with integrals (Question 2)

» How to choose a random sampling technique

» Calculating Density

» Converting between Celsius, Fahrenheit, and Kelvin

» Physical and Chemical Changes and Properties

» How to find the volume of solids using the ring method and shell method

» How to find the volume of solids using the shell method and disk method

» How to find the volume of solids using integrals (disk method) (Part 3)

» How to find the area between two curves using integrals (Part 4)

» How to find the area between two curves using integrals (Part 3)

» How to find the area between two curves using integrals (Part 2)

» How to solve electric circuits problems with integrals (Question 3)

» How to solve electric circuits problems with integrals (Question 2)

» How to solve electric circuits problems with integrals (Question 1)

» How to solve motion word problems with integrals (Question 3)

» How to solve motion word problems with integrals (Question 2)

» How to solve motion word problems with integrals (Question 1)

» How to find the area bounded by a curve

» How to approximate the area of a function using midpoints (Part 2)

» How to find the original equation of a second derivative using integrals

» How to graph the integral of a function

» How to perform the substitution rule with integrals (Part 3)

» Integrate indefinite integrals of simple functions

» How to solve word problems with two unknowns (Question 6, Money Application)

» How to solve word problems with two unknowns (Question 7, Static Application)

» How to solve word problems with two unknowns (Question 5, Uniform Motion)

» How to solve rate problems leading to fractional equations (Question 1, Uniform Motion)

» How to solve optimization problems in calculus (Question 13)

» How to solve optimization problems in calculus (Question 12)

» How to solve optimization problems in calculus (Question 11)

» How to solve optimization problems in calculus (Question 10)

» How to solve optimization problems in calculus (Question 9)

» How to solve related rates problems with derivatives (Question 3)

» How to solve related rates problems with derivatives (Question 2)

» How to solve related rates problems with derivatives (Question 1)

» How to solve motion of a point problems with derivatives (Question 2)

» How to solve motion of a point problems with derivatives (Question 3)

» How to solve motion of a point problems with derivatives (Question 4)

» How to solve motion of a point problems with derivatives (Question 6)

» How to solve motion of a point problems with derivatives (Question 5)

» How to solve a non-linear system with its variables in the denominator

» How to solve motion of a point problems with derivatives (Question 1)

» How to solve rate of change problems with derivatives (Question 3, Electricity)

» How to solve rate of change problems with derivatives (Question 4, Electricity)

» How to solve rate of change problems with derivatives (Question 2, Electricity)

» How to solve rate of change problems with derivatives (Question 1)

» How to use Newton's method to approximate solutions of equations

» How to find the points of inflection for a function

» How to use the second derivative test to find maximum and minimum values

» How to perform the concavity test and second derivative test for a function (Part 3)

» Lucid Dreaming ( ) Quick Presentation

» Can 1 equal 2 ? DEBUNKED!

» How to find the second derivative of a function (Part 2)

» How to find the derivative by the delta method (Question 2)

» How to find the derivative by the delta method, first principles (Question 1)

» How to evaluate limits using algebra and the limit laws (Part 4)

» How to evaluate limits using algebra and the limit laws (Part 3)

» How to write an equation of a line using the method of least squares

» How to write an equation from a line of best fit

» How to calculate the correlation coefficient from a table of values

» How to make a process control chart (Question 2 - Continuous Variable)

» How to make a process control chart (Question 1 - Categorical Variable)

» How to calculate standard error of the mean and why it's important (Central Limit Theorem)

» How to find the standard error of a proportion

» How to find the standard error of a sample mean to estimate the population mean

» How to use z-score to find the area under a normal curve (Part 1)

» How to solve problems involving probability

» How to calculate the probability of complementary events (Part 2)

» How to find the mode of a dataset

» How to compute the weighted mean of a dataset

» How to create a frequency polygon

» How to graph a cumulative frequency distribution

» How to create a frequency histogram

» How to multiply and divide fractions

» How to create a stem-and-leaf plot

» How to arrange raw data into a frequency distribution table

» How to find the general term of a binomial expansion

» How to expand trinomials using the binomial theorem

» How to use Pascal's triangle to expand a binomial

» How to expand an expression using the binomial theorem (Part 1)

» How to expand a binomial raised to a negative fraction using the binomial theorem (Part 2)

» How to convert between improper and mixed fractions

» How to add and subtract fractions

» How to insert a geometric mean between two numbers

» How to find the sum of infinitely many terms of geometric progression

» How to write a repeating decimal as a rational fraction

» How to find a term and sum of a geometric progression series

» How to insert the harmonic mean between two numbers

» How to find a term in a harmonic progression series

» How to insert arithmetic means between two numbers

» How to find the sum of terms in an arithmetic progression series

» How to find the terms of an arithmetic sequence (Part 1)

» How to deduce the general term for a series

» How to find the maximum using linear programming (Question 3)

» How to find the maximum using linear programming (Question 2)

» How to find the optimal value using linear programming (Question 1)

» How to solve a cubic inequality

» How to factor a sum or difference of two cubes

» How to graphically solve linear and nonlinear inequalities

» How to graph linear inequalities

» How to convert between BCD and decimal

» Convert between octal and decimal

» How to convert IP6 address to binary

» How to convert IP4 address to binary

» How to convert between hexadecimal and decimal

» How to find the remainder of a number without using long division

» How to convert between hexadecimal and binary

» How to convert from decimal to binary numbers

» How to convert from binary to decimal numbers

» How to find the surface area of solids using integrals

» How to find the volume of solids using integrals (Part 2)

» How to plot a hyperbola using a table of values and graph

» Write a standard form hyperbola equation

» How to find the center, vertices, foci, and slope for a hyperbola and graph (Question 2)

» How to find the center, vertices, foci, and slope for a hyperbola and graph (Question 1)

» How to find the center, vertices, and foci for an ellipse (Question 2)

» How to find the center, vertices, and foci for an ellipse (Question 1)

» How to write an equation for an ellipse whose center is at the origin

» How to find the major and minor axes for an ellipse centered at the origin

» How to find the vertices and foci of an ellipse whose center is at the origin

» How to write the equation of a parabolic arch

» How to find the focus and focal width of a parabola and write its equation

» How to write an equation for a circle from a diagram

» How to find the focus of a parabola and write its equation

» How to perform the factorability test on a quadratic

» How to find the volume of solids using integrals (Part 1)

» How to find the points of intersection of two circles

» How to set up the arc length formula for a function (Question 1)

» How to find the equation of the tangent for a circle

» How to convert a general form circle equation to standard form

» How to write linear equations in general form (Part 1)

» How to write linear equations in general form (Part 2)

» How to write an equation of a circle in standard form

» How to write an equation of a circle in general form

» How to find the angle of intersection between two lines

» How to determine if two lines are perpendicular

» How to use angle of inclination to find the slope

» How to find the complex impedance for a circuit

» How to write a sinusoidal expression for current when given voltage and impedance

» How to represent impedance as a complex number

» How to convert between sinusoidal and complex polar form for current and voltage expressions

» How to multiple, divide, and power complex numbers in polar exponential form

» How to write complex numbers in polar exponential form (and vice versa)

» How to divide complex polar numbers in polar form

» How to multiply complex numbers in polar form

» How to find the imaginary roots of a quadratic using the quadratic formula

» How to write complex numbers in polar "trigonometric" form (and vice versa)

» How to use the quadratic formula to find the roots (Question 1)

» How to model a power function when graphed on log paper

» How to plot and calculate slope of exponential functions

» How to calculate decibels gained or lost

» How to calculate capacitor current when charging or discharging

» How to rewrite logarithm expressions without logs

» How to use the Verhulst population model

» How to use the universal decay curve

» How to calculate continuous exponential decay

» How to choose the correct integration method (Part 2)

» How to choose the correct integration method (Part 1)

» How to graph polar equation using a table of values

» How to calculate compound interest continuously

» How to model *combined variation* equations (Question 3)

» How to model joint and combined variation equations

» How to model *combined variation* equations (Question 2)

» How to model *combined variation* equations (Question 1)

» How to model *joint variation* equations

» How to model inverse variation (Part 2)

» How to model inverse variation (Part 3)

» How to model inverse variation (Part 1)

» How to model direct variation equations (Part 6)

» How to model direct variation equations (Part 5)

» How to model direct variation equations (Part 4)

» How to model direct variation equations (Part 3)

» How to model direct variation equations (Part 2)

» How to model direct variation equations (Part 1)

» How to solve algebraic proportion problems

» How to solve equations with fractions using cross-multiplication

» How to solve trigonometric equations using identities (Multiple Angles, Degrees, Part 4)

» How to solve trigonometric equations using identities (Multiple Angles, Degrees, Part 3)

» How to solve trigonometric equations using identities (Multiple Angles, Degrees, Part 2)

» How to solve trigonometric equations using identities (Multiple Angles, Degrees, Part 1)

» How to simplify trigonometric functions using double angle identities

» How to prove trigonometric identities using double angle identities (Question 3)

» How to prove trigonometric identities using half angle identities

» How to prove trigonometric identities using double angle identities (Question 2)

» How to prove trigonometric identities using double angle identities (Question 1)

» How to prove trigonometric identities using the sum or difference of angles (Question 4)

» How to prove trigonometric identities using the sum or difference of angles (Question 3)

» How to prove trigonometric identities using the sum or difference of angles (Question 2)

» How to prove trigonometric identities using the sum or difference of angles (Question 1)

» How to expand or simplify trigonometric expressions using the sum or difference of angles

» How to prove trigonometric identities (Question 2)

» How to prove trigonometric identities (Question 1)

» How to prove trigonometric identities (Question 3)

» How to simplify expressions using trigonometric identities (Part 3)

» How to simplify expressions using trigonometric identities (Part 2)

» How to simplify expressions using trigonometric identities (Part 1)

» How to find two angles that represent the same ratio for tangent

» How to model alternating voltage and current using the sine wave

» How to model alternating current using the sine wave

» How to analyze the sine wave for amplitude, angular velocity, phase angle, etc.

» How to find the volume and surface area of a sphere

» Find the lateral area, total surface area, and volume of the frustum (Question 2)

» How to express a sine wave and cosine wave as a single sine wave (Part 3)

» How to express a sine wave and cosine wave as a single sine wave (Part 2)

» How to express two sine waves as a single sine wave (Part 1)

» Plotting composite curves

» How to use the Pythagorean Theorem

» How to find the linear speed

» How to find the angular displacement

» How to find the central angle of the arc length (Part 2)

» How to find the central angle of the arc length (Part 1)

» How to find the area of a segment in a circle

» How to find the area of a sector

» How to find the reference angle for angles less than 360 (Part 1)

» How to solve word problems involving the cosine law (Question 1)

» How to use the factor theorem to find roots of a cubic function (with Long Division)

» How to solve a system of quadratic equations

» How to plot a quadratic function from a table of values

» How to find the domain and range of functions (Part 4)

» How to find the domain and range of functions (Part 3)

» Solve quadratic problems involving volume

» How to solve quadratic problems involving uniform motion

» How to find the domain and range of functions (Part 2)

» How to divide radicals by its conjugate

» How to reduce the index of a radical

» How to rationalize a denominator (Part 2)

» How to reduce the radical radicand of higher roots (Part 2)

» How to reduce the radical radicand of square roots (Part 1)

» How to write fractional exponents into radicals (and vice versa)

» How to write an algebraic expression without negative exponents (Part 4)

» How to write an algebraic expression without negative exponents (Part 3)

» How to solve a linear system with three unknowns using matrices

» How to write an algebraic expression without negative exponents (Part 2)

» How to use the quadratic formula to find the roots (Question 2)

» How to find the inverse of a 3-by-3 matrix

» How to solve a linear system by the matrix inversion method (Question 3)

» How to solve a linear system by the matrix inversion method (Question 1)

» How to inverse a matrix using the shortcut method

» How to solve a linear system by the matrix inversion method (Question 2)

» How to inverse a matrix using the transformation method (Part 3)

» How to inverse a matrix using the transformation method (Part 2)

» How to write an algebraic expression without negative exponents (Part 1)

» How to inverse a matrix using the transformation method (Part 1)

» How to express a rational function as a sum of partial fractions to integrate (Question 5)

» How to express a rational function as a sum of partial fractions to integrate (Question 4)

» How to express a rational function as a sum of partial fractions to integrate (Question 3)

» How to multiply two matrices in a word problem

» How to multiply two matrices together (Question 2)

» How to multiply two matrices together (Question 1)

» How to multiply a row vector to a matrix

» How to express a rational function as a sum of partial fractions to integrate (Question 2)

» How to express a rational function as a sum of partial fractions to integrate (Question 1)

» How to add and subtract (combine) matrices

» How to use Cramer's rule to solve a 33 system

» How to find the determinant of a 22 matrix (fast way)

» How to use Cramer's rule to solve a 22 system (Question 1)

» How to find the determinant of a 33 matrix (diagonal trick)

» How to solve word problems with two unknowns (Question 4, Electricity Application)

» How to solve word problems with two unknowns (Question 3)

» How to solve word problems with two unknowns (Question 2, Work Application)

» How to integrate using inverse trigonometric substitution (Question 6)

» How to solve word problems with two unknowns (Question 1, Mixture Application)

» How to solve rate problems leading to fractional equations (Question 3, Flow Rate)

» How to convert verbal statements into algebraic equations (Part 4)

» How to simplify complex fractions

» How to solve rate problems leading to fractional equations (Question 2, Work Application)

» How to add and subtract algebraic fractions (Part 2)

» How to add and subtract algebraic fractions (Part 1)

» How to convert verbal statements into algebraic equations (Part 2)

» How to convert verbal statements into algebraic equations (Part 3)

» How to convert verbal statements into algebraic equations (Part 1)

» Calculate the mean for grouped data

» How to use a tree diagram to find the probability

» How to calculate the probability of complementary events (Part 1)

» How to calculate theoretical probability (Part 1)

» How to determine the interquartile range

» How to calculate mean, median, and mode

» How to simplify expressions containing parentheses, square and curly brackets (Part 2)

» How to find all angles of a triangle when only the side lengths are given

» How to determine the x- and y- intercepts of a linear equation

» How to use the discriminant to determine the value of k in a quadratic with one real root

» How to determine the *max / min* of a quadratic equation using h = -b/2a

» How to find the equation of a line that is perpendicular to a line passing through a point

» How to use the discriminant to determine the value of k in a quadratic with no real roots

» How to solve application problems containing quadratics (Question 3)

» How to calculate the future value of a mutual fund

» How to calculate fuel costs

» How to create a table of values displaying commission and earnings (Question 2)

» How to create a table of values displaying commission and earnings (Question 1)

» How to determine the commission of a sale

» How to solve any percent concentration problem

» How to solve any percent error problem

» How to solve any percent efficiency problem

» How to solve any percent change problem

» Solve simple percent word problems (Part 2)

» How to integrate using inverse trigonometric substitution (Question 3)

» Solve simple percent word problems (Part 1)

» Convert percent to decimals and fractions

» How to integrate using inverse trigonometric substitution (Question 2)

» How to integrate using inverse trigonometric substitution (Question 1)

» Convert fractions to decimals and percent

» How to combine approximate and exact numbers when considering significant digits

» How to convert from degrees to degrees, minutes, seconds using your Fx-991ES Plus calculator

» How to quickly find the vertex of a quadratic equation that is in standard form

» How to combine and sketch transformations of a sinusoidal function (Question 2) (y=a*sinb(xc)+d)

» How to combine and sketch transformations of a sinusoidal function (Question 1) (y=a*sinb(xc)+d)

» How to describe transformations of a sinusoidal function (y=a*sinb(xc)+d)

» How to reflect a sinusoidal function across the x-axis (y=a*sinb(xc)+d)

» How to vertically stretch and compress a sinusoidal function (y=a*sinb(xc)+d)

» How to horizontally shift a sinusoidal function (y=a*sinb(xc)+d)

» How to vertically shift a sinusoidal function (y=a*sinb(xc)+d)

» How to find the unknown angle of a triangle using the sine law (Part 2)

» How to find the unknown angle of a triangle using the sine law (Part 1)

» How to solve a trigonometric problem involving two right triangles (Question 2)

» How to solve a trigonometric problem involving two right triangles (Question 1)

» How to choose the right payment plan with changing conditions (Question 5)

» How to calculate RRSP using the annuity formula

» How to calculate credit card interest when the interest is compounded

» How to calculate present value using the compound interest formula (Question 2)

» How to calculate present value using the compound interest formula (Question 1)

» How to calculate compound interest (Part 2)

» How to calculate compound interest (Part 1)

» How to calculate simple interest (Part 4; P = I/rt)

» How to calculate simple interest (Part 5; r = I/Pt)

» How to calculate simple interest (Part 3)

» How to calculate simple interest (Part 2)

» How to calculate simple interest (Part 1)

» How to integrate trigonometric functions containing both tangent and secant (Question 2)

» How to integrate trigonometric functions containing both tangent and secant (Question 1)

» How to find the antiderivative of double-angle trigonometric functions, sin(2x), cos(2x), etc.

» How to solve application problems containing exponential equations

» How to integrate trigonometric functions containing tangent and sine with odd powers

» How to determine an exponential relation from a table of values

» How to integrate trigonometric functions containing sine and cosine with odd powers (Part 2)

» How to integrate trigonometric functions containing sine and cosine with odd powers (Part 1)

» How to simplify algebraic expressions with fractional exponents (Part 2)

» How to sketch a quadratic equation using transformations after completing the square (Question 2)

» How to sketch a quadratic equation using transformations after completing the square (Question 1)

» How to use transformations to graph quadratic equations in vertex form

» How to find the average atomic mass of an element

» How to analyze transformations of a quadratic equation that is in vertex form

» How to solve radioactive decay half-life problems (Question 3)

» How to vertically shift a quadratic function along the y-axis

» How to factor a polynomial by grouping (Part 1)

» How to factor and solve quadratic trinomials (Part 2)

» How to factor and solve quadratic trinomials (Part 1)

» How to horizontally shift a quadratic function along the x-axis

» How to find when Celsius and Fahrenheit are the same temperature

» How to reflect the quadratic function relative to the x-axis

» How to vertically stretch and compress the quadratic function

» How to use the discriminant to determine the number of roots for any quadratic equation

» How to fully analyze the standard and factored form of a quadratic equation (Question 2)

» How to fully analyze the standard and factored form of a quadratic equation (Question 1)

» How to solve application problems containing quadratics (Question 2)

» How to solve application problems containing quadratics (Question 1)

» How to determine if a quadratic equation has a maximum or minimum when given the roots

» How to sketch a quadratic equation that is in standard form (Question 2)

» How to sketch a quadratic equation that is in standard form (Question 1)

» How to expand a polynomial (Part 2)

» How to expand a polynomial (Part 1)

» How to common factor an expression

» How to write a quadratic expression of a shaded area

» How to classify whether an equation is linear, quadratic, or cubic

» How to integrate by parts when "going in circles"

» How to determine if a table of values represents a linear or quadratic relationship

» How to determine if a table of values represents a function

» How to create a frequency table and histogram from raw data

» How to find the unknown angle using *inverse* trigonometric ratios (Part 1)

» How to solve angle of elevation problems in right triangles

» How to solve angle of depression problems in right triangles

» How to find the volume and surface area of any cylinder

» How to find the volume and surface area a rectangular prism

» How to find the volume and surface area of any triangular prism

» How to find the area of composite figures (Part 2)

» How to find the area of composite figures (Part 1)

» How to solve problems involving the area of a rectangle

» How to convert between imperial and metric units (Part 3)

» How to convert between imperial and metric units (Part 2)

» How to convert between imperial and metric units (Part 1)

» How to calculate monthly mortgage amortization payments (Question 3)

» How to solve optimization problems in calculus (Question 7)

» How to calculate monthly mortgage amortization payments (Question 2)

» How to calculate monthly mortgage amortization payments (Question 1)

» How to calculate mortgage payments (Question 2 of 2)

» How to calculate mortgage payments (Question 1 of 2)

» How to choose the right payment plan with changing conditions (Question 4)

» How to choose the right payment plan with changing conditions (Question 3)

» How to choose the right payment plan with changing conditions (Question 2)

» How to choose the right payment plan with changing conditions (Question 1)

» How to derive the quadratic formula

» How to calculate present value of an ordinary annuity (Question 4)

» How to calculate present value of an ordinary annuity (Question 3)

» How to calculate present value of an ordinary annuity (Question 2)

» How to calculate regular payments or deposits using the annuity formula (Question 2)

» How to calculate present value of an ordinary annuity (Question 1)

» How to calculate regular payments or deposits using the annuity formula (Question 1)

» How to calculate simple annuity when compounded quarterly (Part 2)

» How to evaluate algebraic expressions with given terms

» How to calculate simple annuity when compounded semi-annually (Part 1)

» How to create a table of values from an equation and graph

» How to analyze trends found in graphs

» How to rearrange formulas to isolate for a variable

» How to solve equations containing rational exponents greater than 2

» How to solve first-degree equations (Part 2)

» How to solve an exponential problem using a table of values (Question 2)

» How to solve first-degree equations (Part 1)

» How to setup and solve a half-life problem using a table of values

» How to solve exponential equations without logarithms (Part 2)

» How to solve exponential equations without logarithms (Part 1)

» How to simplify algebraic expressions with fractional exponents (Part 1)

» How to find the average value of a function (Part 2)

» Understanding the laws of exponents

» How to avoid 5 common math mistakes

» How to detemine the PH of a solution when given the hydrogen concentration

» How to solve ratio problems related to chemistry

» How to convert units of any rate to another (Part 3)

» How to perform conversions between units with prefixes ranging from pico to mega

» How to solve trigonometric equations that contain *cosine* using special triangles (Part 2)

» How to use the laws of exponents to simplify an expression (Part 2)

» How to solve trigonometric equations that contain *cosine* using special triangles (Part 1)

» How to solve trigonometric equations that contain *sine* using special triangles (Part 2)

» How to solve trigonometric equations that contain *sine* using special triangles (Part 1)

» How to solve a word problem involving trigonometric models (Question 2)

» How to solve a word problem involving trigonometric models (Question 1)

» How to find the domain when sine and cosine are in the same function

» How to find the domain and range of the trigonometric function, sine, cosine, and tangent

» How to evaluate angles using cosecant, special triangles, and the unit circle (Part 3)

» How to evaluate radian angles using SINE, special triangles, the unit circle (Part 1)

» How to add, subtract, multiply, and divide using the rules of significant digits (Part 2)

» How to add, subtract, multiply, and divide using the rules of significant digits (Part 1)

» How to round numbers with significant digits

» How to count for the correct number of significant digits

» How to find the tangential and normal components of a vector

» How to find the resultant vector in the first quadrant

» How to resolve a vector found in quadrant I

» How to solve radioactive decay half-life problems (Question 2)

» How to solve radioactive decay half-life problems (Question 1)

» How to solve an exponential growth problem involving bacterial growth (Question 1)

» How to solve an exponential growth problem involving bacterial growth (Question 2)

» How to transform the natural logarithmic function (lnx)

» How to transform the natural exponential function (e^x)

» How to find an unknown angle using reciprocal trigonometric functions

» How to find the domain of a natural logarithmic functions (Part 2)

» How to find the domain and range of natural logarithmic functions (Part 1)

» How to use the logarithm laws to simplify logarithmic expressions (Part 1)

» How to use the laws of exponents to simplify an expression (Part 1)

» How to set up and solve linear models (Question 4)

» How to set up and solve linear models (Question 3)

» How to set up and solve linear models (Question 2)

» How to set up and solve linear models (Question 1)

» How to sketch a cosine function with transformations (Question 2 of 2)

» How to find the equation of a line passing through two points

» How to solve LINEAR equations involving absolute values (Part 1)

» How to find the equation of a line that is parallel to a line passing through a point

» How to solve LINEAR inequalities with absolute values (Part 2)

» How to solve LINEAR inequalities with absolute values (Part 1)

» How to find the intervals where a function is satisfied using inequalities

» How to convert from radians to degrees, minutes, seconds

» How to solve a three-part linear inequality

» How to solve LINEAR inequalities (Part 1)

» How to solve fractional equation by finding the lowest common denominator (Part 2)

» How to convert units of any rate to another (Part 2)

» How to convert one unit of measurement to another unit

» How to solve fractional equations by factoring (Part 1)

» How to combine two or more polynomial fractions into a single rational expression

» How to evaluate and sketch a piecewise function pertaining to tax (Part 3)

» How to evaluate and sketch a piecewise function containing absolutes (Part 2)

» How to evaluate and sketch a piecewise function (Part 1)

» How to find the inverse of any function (Part 2)

» How to shift and reflect a square root function using transformations

» How to stretch or compress a function using transformations

» How to sketch a cubic function using transformations

» How to find the domain of a function (Part 3)

» How to find the domain of a function (Part 2)

» How to find the domain and range of a function (Part 1)

» How to evaluate composite functions (fgh) (Part 3)

» How to apply integration by parts on a single function

» How to apply integration by parts more than once

» How to integrate by parts for definite integrals

» How to find the average value of a function (Part 1)

» How to use the mean value theorem for integrals

» How to integrate by parts (Part 1)

» How to choose the correct u and dv when you integrate by parts

» How to find the area between two curves using integrals (Part 1)

» How to perform the substitution method for definite integrals (Part 2)

» How to perform the substitution method for definite integrals (Part 1)

» How to perform the substitution rule with integrals (Part 2)

» How to perform the substitution rule with integrals (Part 1)

» How to find the indefinite integral of a function

» How to find the definite integral using the fundamental theorem of calculus (Part 3)

» How to find the definite integral using the fundamental theorem of calculus (Part 2)

» How to find the definite integral using the fundamental theorem of calculus (Part 1)

» How to find the area of a function using limits and Riemann sums

» How to approximate the area of a function using midpoints (Part 1)

» How to use right endpoints to find an expression showing the area of a function

» How to find the constant (C) after finding the anti-derivative

» How to find the anti-derivative of a function (Part 3)

» How to find the anti-derivative of a function (Part 2)

» How to find the anti-derivative of a function (Part 1)

» How to solve optimization problems in calculus (Question 5)

» How to solve optimization problems in calculus (Question 6)

» How to solve optimization problems in calculus (Question 4)

» How to solve optimization problems in calculus (Question 3)

» How to solve optimization problems in calculus (Question 2)

» How to solve optimization problems in calculus (Question 1)

» How to use the squeeze theorem to find the limit of a function

» How to sketch a function using calculus (Question 1)

» How to use LHospitals Rule to find the limit of a function (Part 3)

» How to use L'Hospital's Rule to find the limit of a function (Part 2)

» How to use LHospitals Rule to find the limit of a function (Part 1)

» How to sketch a graph of a function using calculus only

» How to perform the concavity test and second derivative test for a function (Part 1)

» How to prove a limit exists using delta and epsilon

» How to know when a function is increasing or decreasing using calculus

» How to use the mean value theorem in calculus

» How to use the closed interval method to find absolute maximum and minimum values

» How to find the critical numbers of a function

» How to perform differentials in calculus

» How to perform linear approximations in calculus

» How to find the derivatives of inverse hyperbolic functions

» How to find the derivatives of hyperbolic functions

» Find the derivative when the base and exponent contain a variable (x)

» How to find the derivative of natural logarithmic functions (Part 1)

» How to prove the derivative of the general logarithmic function

» How to find the second derivative of a function (Part 1)

» How to use implicit differentiation with higher order derivatives

» How to evaluate a cubic function containing the constant k

» How to evaluate trigonometric functions when theta is an inverse trigonometric function

» How to find the derivatives of inverse trigonometric functions (Part 1, with Proof)

» How to substitute into functions and evaluate when x is given (Part 1)

» How to find the derivatives of inverse trigonometric functions (Part 1, with Proof)

» How to use implicit differentiation (Part 1)

» How to find the derivatives of exponential functions (Part 1)

» How to find derivatives of reciprocal trigonometric functions

» How to find the derivatives of trigonometric functions using the chain rule (Part 2)

» How to find the derivatives of trigonometric functions using the chain rule (Part 1)

» How to use the chain rule to find the derivative of a function (Part 1)

» How to use the quotient rule to find the derivative of a function (Part 1)

» How to use the product rule to find the derivative of a function (Part 1)

» How to find the limits of trigonometry functions

» How to find derivatives of trigonometric functions

» How to evaluate limits using algebra and the limit laws (Part 2)

» How to solve equations involving natural logarithm (ln)

» How to write a composite function f(g(x)) and g(f(x)) (Part 2)

» How to evaluate limits using algebra and the limit laws (Part 1)

» How to find angles that represent a ratio for reciprocal trigonometric functions

» How to find angles (in radians) that represent a trigonometric ratio

» How to create a price index to calculate inflation for a basket of goods

» How to convert between radians and degrees

» How to fit an exponential model to data

» Find the quartiles and percentiles for a data set

» How to find the resultant vector of two vectors separated by a known angle

» How to use the cosine law to solve a triangle

» How to use the sine law to solve a triangle

» How to use trigonometric functions to solve any right triangle

» How to find the unknown angle using *inverse* trigonometric ratios (Part 2)

» How to write a quadratic equation in general form when a graph is shown

» How to find the maximum and minimum of a quadratic relation

» How to complete the square

» How to determine an equation in factored form from a graphed parabola

» How to graph quadratic equations that are in factored form y=a(xr)(xs)

» How to determine an equation in vertex form of a parabola

» How to graph quadratic equations that are in vertex form

» How to find the first and second differences for any table of values

» How to verify that the center of a circle lies on the right bisector a cord

» How to find the equation of a right bisector

» How to solve a distance, time, speed problem using linear algebra

» How to determine the equation for the median of a triangle

» How to solve a linear algebraic bank interest problem with two unknowns

» How to solve a linear algebraic mixture problem with two unknowns

» How to find the midpoint of a line segment

» How to find the point of intersection of two straight lines by graphing

» How to find the sum of the interior angles of any polygon

» How to graph line equations without a table of values

» How to find the slope of a line using any two points

» How to find the distance of any line segment

» How to find the inverse of any function (Part 1)

» How to solve logarithmic equations

» How to solve exponential equations with base e

» How to divide radicals

» How to multiply radicals

» How to add and subtract radicals

» How to rationalize any denominator (Part 1)

» How to divide imaginary terms and complex numbers

» How to multiply a complex number by its conjugate

» How to graph complex numbers

» How to multiply imaginary numbers

» How to evaluate the imaginary unit "i" at any exponent (i, i ... i)

» How to add and subtract complex numbers

» How to convert equations from rectangular to polar form (Part 1)

» How to convert equations from polar to rectangular form

» How to find the equation of a cosine curve (Question 1)

» How to create a sine equation when the curve (wave) is given

» How to write a sine function when given the amplitude, period, and phase shift

» How to sketch a cosine function with transformations (Question 1 of 2)

» How to plot a sine function with a negative amplitude and phase-shift (Question 3 of 3)

» How to plot a sine function containing an amplitude and phase shift (Question 2 of 3)

» How to plot a sine function containing an amplitude and phase-shift (Question 1 of 3)

» How to solve a linear system with three unknowns using substitution (Question 2 of 2)

» How to solve a linear system with three variables without matrices (Question 1 of 2)

» How to solve a non-linear system with variables in the denominator (Question 2 of 2)

» How to solve a non-linear system with variables in the denominator (Question 1 of 2)

» How to solve a linear system with fractional coefficients

» How to solve a linear system by the substitution method

» How to solve a linear system using ELIMINATION (Addition-Subtraction Method)

» How to factor, solve, and graph a quadratic equation by hand

» How to use your Fx-991ES Plus Calculator to find the roots of a quadratic equation

» How to manually find the mean, variance, and standard deviation for a set of numbers

» How to factor a trinomial by decomposition ("a" greater than 1)

» How to factor a perfect square trinomial

» How to factor a trinomial using trail-and-error

» How to find the resultant vector of three or more vectors

» How to find the X and Y components of any vector

» How to find the resultant vector of any two vectors

» How to solve an ambiguous case triangle using the sine and cosine law

» Find the lateral area, total surface area, and volume of the frustum (Question 1)

» Find the area of a triangle given its three sides (Heron's formula)

» How to Graph Parametric Equations Manually

» How to convert *decimal degrees* to degrees, minutes, seconds

» How to convert degrees, minutes, seconds to degrees

» Movement of Joints Animation

» Joint Classification Animation

» Skeletal Anatomy Animation

» Wrist Flexion/Extension Animation

» Wrist Circumduction Animation

» Humerus Rotation Animation

» Humerus Circumduction Animation

» Hand Opposition Animation

» Elbow Pronation/Supination Animation

» Elbow Flexion/Extension Animation

» Ankle Inversion/Eversion Animation

» Ankle Dorsiflexion/Extension Animation

» How to calculate the homozygous dominant frequency of a population

» How to write any number in engineering notation

» How to write any number in scientific notation (Part 1)

» Why doesn't the moon fall down?

» Movement of Oxygen and Carbon Dioxide in the Body

» How to solve a quadratic flow rate problem

» How to write an equation in general form of a perpendicular line passing through the point

» How to solve an upper-limit, exponential decay problem

» How many pounds of yeast must the manufacturer start with to obtain 550 lb at the end of 12 h?

» Find the speed after 40.0 min if the initial speed is 3250 rev/min.

» How to solve a half-life problem using exponential decay and natural log (y = ae)

» Find the temperature of the room (above the outside temperature) at the end of 120 min.

» Write the equation for the population y at any instant.

» By how many times will the population of bacteria have increased after 6 h?

» Bacterial Conjugation

» Find the final amount if the initial amount is400 units.

» X-Ray Flare from Black Hole

» Super massive Black Hole

» Death of the Sun Part I

» Coin and Feather

» Stellar Disk Around a Black Hole

» Milky Way Black Hole

» Hubble Deep Field Zoom Sequence

» Death of the Sun Part II

» Crab Nebula Pulsar

» Black Hole Swallows a Star

» Black Hole in Galaxy M87

» Black Hole Geometry

» Black Hole Eats a Neutron Star

» The Big Bang

» Respiratory System Review

» Ultrasound of Human Fetus

» Hydra Budding

» Sea Urchin Embryonic Development (Time Lapse)

» Animal Mitosis (Time Lapse)

» Paramecium Cilia

» Chlamydomonas

» Cytoplasmic Streaming

» Paramecium Vacuole

» How Bones Grow

» Hemoglobin Breakdown (Biochemical Animation)

» B Vitamin Animation Video

» mRNA Synthesis Animation Video

» Protein Synthesis Animation Video

» Active Transport by Group Translocation Animation Video

» Bacterial Spore Formation Animation Video

» A-B Toxin Exotoxin Animation Video

» HIV / AIDS Replication Animation Video