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MATH 140 WIR 8 Pr 5

Subtracting rational functions and then simplifying the result

MATH 140 WIR 8 Pr 8

Dividing and subtraction rational functions and simplifying the result

MATH 140 WIR 8 Pr 9

Computing and simplifying the difference quotient for a rational function

MATH 140 5.5 #1

Finding the domain of a piecewise function and evaluating it

MATH 140 WIR 8 Pr 1

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 WIR 8 Pr 2

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 WIR 8 Pr 3

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 WIR 8 Pr 6

Multiplying two rational functions and simplifying the result

MATH 140 WIR 8 Pr 7

Dividing rational functions and simplifying the result

WIR1 20B M150 V17

Subtracting rational expressions and simplifying

WIR1 20B M150 V18

Performing operations with rational expressions and simplifying

WIR8 20B M150 V04

Performing operations with rational expressions and simplifying

MLC WIR 20B M151 week9 #8b

Evaluating a limit with an indeterminate difference using a common denominator

Properties of Rational Functions and Expressions Video 8

Adding and subtracting rational expressions by finding a common denominator

Properties of Rational Functions and Expressions Video 10

Performing algebraic operations with rational expressions and simplifying the answer

Solving Rational Equations Video 1

Solving equations that contain rational expressions

Solving Rational Equations Video 2

Solving an equation that contains rational expressions

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

MATH 140 WIR1 #1

Finding the dimensions of several matrices

MATH 140 WIR1 #2

Finding the values of entries in matrices

MATH 140 WIR1 #3

Evaluating expressions with matrices and entries of matrices

MATH 140 WIR1 #4

Computing expressions with matrices

MATH 140 WIR1 #5

Finding the values of variables that will make two matrices equal

MATH 140 WIR1 #6

Using matrices to represent inventory at the locations of a restaurant

MATH 140 WIR1 #7

Using matrix multiplication to calculate revenue

MATH 140 WIR1 #8

Calculating several matrix multiplications if possible

MATH 140 WIR2 #2

Writing the equation of a line that passes through two points

MATH 140 WIR2 #1

Finding the slope of a line through a pair of points

MATH 140 WIR2 #3

Writing the equation of a line with an undefined slope and a given point

MATH 140 WIR2 #4

Writing the equation of a line with a zero slope given a point

MATH 140 WIR2 #5

Finding the x and y-intercepts for a line

MATH 140 WIR2 #6

Solving for a constant so a line has a particular x-intercept

MATH 140 WIR2 #7a

Graphing a line without using technology

MATH 140 WIR2 #7b

Graphing a line without using technology

MATH 140 WIR2 #7c

Graphing a line without using technology

MATH 140 WIR2 #8a

Determining the change in y as x increases for a line

MATH 140 WIR2 #8b

Determining the change in x as y decreases for a line

MATH 140 WIR2 #9

Determining the slope of a line given points containing a variable

MATH 140 WIR2 #10

Writing a function for the value of an item depreciating linearly over time

MATH 140 WIR2 #11

Finding linear functions for the cost, revenue, and profit of a business

MATH 140 WIR2 #12a

Finding the linear cost function for a company

MATH 140 WIR2 #12b

Finding the linear revenue function for a company

MATH 140 WIR2 #12c

Finding the linear profit function for a company

MATH 140 WIR2 #13

Finding a linear demand equation

MATH 140 WIR2 #14

Finding a linear supply function

MATH 140 WIR3 #1

Finding the change in y as x increases for a given line

MATH 140 WIR3 #2

Using matrices to represent and solve a word problem

MATH 140 WIR3 #3

Writing a linear function representing the depreciation of a car

MATH 140 WIR3 #4

Finding the break-even point for a company given the profit function

MATH 140 WIR3 #5

Determining if matrices are in reduced row echelon form

MATH 140 WIR3 #6

Using matrix operations to solve a matrix equation

MATH 140 WIR3 #7

Determining if two matrices are the correct dimensions to be multiplied

MATH 140 WIR3 #8

Finding the correct dimensions of a matrix so it can be added to another matrix

MATH 140 WIR3 #9

Writing the augmented matrix for a system of linear equations

MATH 140 WIR3 #10

Determining if given values are solutions to a system of linear equations

MATH 140 WIR3 #11

Determining what row operation has been performed on a matrix

MATH 140 WIR3 #12

Solving a system of linear equations without using technology

MATH 140 WIR3 #13

Finding the solution to a system of linear equations by graphing

MATH 140 WIR3 #14a

Using a TI-84 to solve a system of linear equations in three variables

MATH 140 WIR3 #14b

Using a TI-84 to solve a system of linear equations in three variables

MATH 140 WIR3 #15

Finding the products of two matrices if they exist

MATH 140 WIR3 #16

Using matrices to represent a word problem and interpreting a matrix multiplication

MATH 140 WIR3 #18

Putting an augmented matrix in reduced row echelon form

MATH 140 WIR3 #19

Finding the cost, revenue, and profit equations for a given problem

MATH 140 WIR3 #20

Writing a system of equations for a given word problem

MATH 140 WIR3 #17

Answering questions about a demand and supply word problem

MATH 140 WIR4 #1

Setup the objection function and the constraints in a word problem for maximizing profits

MATH 140 WIR4 #2

Setup the objection function and the constraints in a word problem for maximizing wages

MATH 140 WIR4 #3

Graphing the solution set of an inequality with two variables

MATH 140 WIR4 #4

Graphing the solution set of an inequality with two variables

MATH 140 WIR4 #5

Graphing the solution set of system of linear inequalities

MATH 140 WIR4 #6a

Write a system of inequalities for a region and find the corner points

MATH 140 WIR4 #6b

Write a system of inequalities for a region and find the corner points

MATH 140 WIR4 #6c

Write a system of inequalities for a region and find the corner points

MATH 140 WIR4 #7

Maximizing profit subject to a set of constraints

MATH 140 WIR4 #8

Maximizing wages subject to a set of constraints

MATH 140 WIR5 #1

Writing the initial simplex tableau for a linear programming problem if possible

MATH 140 WIR5 #2

Writing the linear programming problem which corresponds to an initial simplex tableau

MATH 140 WIR5 #3

Finding the variables for a given simplex tableau and determining if it is final

MATH 140 WIR5 #4

Finding the value of the slack variables in the simplex method given the optimal solution

MATH 140 WIR5 #5

Using the simplex method to solve a linear programming problem

MATH 140 WIR5 #6

Interpreting a final tableau of the simplex method for a word problem

MATH 140 WIR5 #8

Finding sample spaces and events of an experiment

MATH 140 WIR5 #9

Using set notation to describe given events

MATH 140 WIR5 #10

Shading a two circle Venn diagram for a given problem

MATH 140 WIR5 #11

Describing given events both verbally and symbolically using set notation

MATH 140 WIR5 #7

Finding the sample space of an event

MATH 140 WIR6 #5

Computing a probability distribution table to calculate the probability of given events

MATH 140 WIR6 #1

Writing a sample space for an experiment and determining the outcomes of various events

MATH 140 WIR6 #2

Determining the probability of certain events based on population data

MATH 140 WIR6 #3

Finding the probability of an event occurring based on given probabilities

MATH 140 WIR6 #4

Determining the resulting set of events based on the union, intersection, and complement of given events in a sample space

MATH 140 WIR6 #6

Creating the probability distribution for random variables and determining the expected value

MATH 140 WIR6 #7

Computing various probabilities based on a provided partial histogram

MATH 140 WIR6 #9

Setting up a linear programming problem and determining if the problem is a standard maximization problem

MATH 140 WIR6 #8

Calculating the probability distribution table and expected value for a dice game

MATH 140 WIR 6 #10 1 & 2

Finding the pivot element of an initial simplex tableau and interpreting the final tableau

MATH 140 WIR 6 #11

Writing the initial simplex tableau for a linear programming problem if possible

MATH 140 WIR7 #1

Writing a set in interval notation

MATH 140 WIR7 #2a

Determining the domain and range of a relation and if the relation is a function

MATH 140 WIR7 #2b

Determining the domain and range of a relation and if the relation is a function

MATH 140 WIR7 #2c

Determining the domain and range of a relation and if the relation is a function

MATH 140 WIR7 #3

Using a graph to find specific values of a function

MATH 140 WIR7 #4

Finding function values and expressions given the rule or equation of the function

MATH 140 WIR7 #5

Determining if functions are polynomials and finding their properties

MATH 140 WIR7 #6a

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 WIR7 #6b

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 WIR7 #6c

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 WIR7 #6d

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 WIR7 #6e

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 WIR7 #8

Finding the maximum revenue, maximum profit, and break even quantity for given revenue and cost functions

MATH 140 WIR7 #7

Identifying quadratic functions and their properties

MATH 140 WIR11 #1

Calculating the simple interest for one month of a loan

MATH 140 WIR11 #2

Calculating the future value of an investment after four years of growth with a simple interest rate

MATH 140 WIR11 #3

Determining the simple interest rate given how much an investment increased over time

MATH 140 WIR11 #4

Calculating how much to invest at a simple interest rate to have a desired future value

MATH 140 WIR11 #5

Calculating the future value of an account after three years of growth with simple interest versus compound interest

MATH 140 WIR11 #7

Calculating the future value of an investment for different compounding periods

MATH 140 WIR11 #8

Calculating the effective yields of two compound interest rates to determine which is the better investment

MATH 140 WIR11 #9

Calculating the future value of an investment with a compounded interest rate

MATH 140 WIR11 Introduction to Simple Interest

An introduction to simple interest

MATH 140 WIR11 Introduction to Compound Interest

An introduction to compound interest

MATH 140 WIR11 Introduction to Effective Yield

An introduction to effective yield

MATH 140 WIR11 Introduction to the TVM Solver

An introduction to using the TVM Solver on the TI-84 calculator

MATH 140 WIR11 #10

Calculating the future value of an annuity and the amount of interest earned

MATH 140 WIR11 #11

Calculating the quarterly payment to obtain the desired future value of an annuity

MATH 140 WIR11 #12

Calculating how many years at a given interest rate to save so the future value is the desired amount

MATH 140 WIR11 #13

Calculating how long it takes to pay off a debt with compound interest and the total interest paid

MATH 140 WIR11 #14

Calculating how much money a company should set aside to make retirement payments for 25 years

MATH 140 WIR11 #15

Calculating payments and interest for the mortgage on a house

MATH 140 WIR11 #16

Calculating the quarterly payments, total payments, and interest earned for a sinking fund

MATH 140 WIR11 #17

Calculating the payments and total interest of a loan for different lengths of time

MATH 140 WIR11 #18

Calculating the values in an amortization table for a loan

MATH 140 WIR11 #19

Calculating the values in an amortization table for a home mortgage and the equity in the home at certain times

MATH 140 WIR11 Introduction to Annuities

An introduction to annuities

MATH 140 5.5 #3

Graphing a piecewise function

MATH 140 5.5 #4

Writing an absolute value function as a piecewise-defined function

MATH 140 5.5 #5

Writing a piecewise-defined function for a word problem

MATH 140 5.6 #1a

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 #1b

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 #1c

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 #2a

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 #2b

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 #3b

Solving an equation with exponential functions

MATH 140 5.6 #4

Calculating how much to invest with continuously compounded interest

MATH 140 5.7 #1a

Identifying the parent function and transformations for a given graph

MATH 140 5.7 #1b

Identifying the parent function and transformations for a given graph

MATH 140 5.7 #1c

Identifying the parent function and transformations for a given graph

MATH 140 5.8 Exercise 1

Using properties of logarithms to determine whether a statement is true or false

MATH 140 5.8 Exercise 2

Using properties of logarithms to determine whether a statement is true or false

MATH 140 WIR 8 Pr 10

Finding the difference quotient for a quadratic function

Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142

Review of limits, continuity, and differentiability

Calculus Exam Review (Limits and Continuity/Differentiability II): MATH 142

Review of limits at infinity and continuity of functions

Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142

Examples of calculating infinite limits with exponentials in a rational function

Calculus Exam Review (Derivative Rules): MATH 142

Review of derivative rules such as product, quotient, and chain rule

Calculus Exam Review (Absolute Extrema): MATH 142

Absolute extrema on closed intervals

Solving Limits of Rational Functions: MATH 142

Factoring rational functions to solve limits

Limits at Infinity: MATH 142

Limits at infinity of rational functions

Continuity of Functions: MATH 142

Determining where functions are continuous

Product, Quotient, and Chain Rules: MATH 142

Examples of Product, Quotient, and Chain Rule

Product, Quotient, and Chain Rules: MATH 142

Examples of Product, Quotient, and Chain Rule

Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142

Determining concavity and inflection points and sketching the graph

Analyzing Functions (More Curve Sketching): MATH 142

Using Information From the Derivative to Sketch a Graph

Absolute Extrema on Closed Intervals: MATH 142

Using Critical Values to Find Absolute Extrema on Closed Intervals

Absolute Extrema on Arbitrary Intervals: MATH 142

Finding Absolute Extrema on Open Intervals

Area Between Curves: MATH 142

Solving examples finding the area between curves

More Area Between Curves: MATH 142

Finding the area between two curves

WIR1 20B M150 V16

Dividing rational expressions and simplifying

WIR2 20B M150 V7

Solving a rational equation and checking the solutions

WIR8 20B M150 V03

Finding the domains of expressions

WIR3 20B M150 V13

Determining the properties of a rational function and graphing it

WIR8 20B M150 V09

Determining the properties of a rational function and graphing it

WIR7 20B M150 V13

Calculating the difference quotient for a rational function

WIR8 20B M150 V15

Calculating the difference quotient for a rational function

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Differentials and Approximations: MATH 151 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week3 #16

Finding the vertical and horizontal asymptotes for a rational function

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

MLC WIR 20B M151 week7 #4a

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week9 #10b

Finding the antiderivative of a rational function

MLC WIR 20B M151 week10 #6a

Evaluating a a limit from the left for a rational function

MLC WIR 20B M151 week10 #6b

Evaluating the limit of a rational function by factoring and cancelling

MLC WIR 20B M151 week10 #6c

Using L'Hospital's Rule to evaluate a limit representing a derivative at a point

MLC WIR 20B M151 week10 #8a

Evaluating the limit at infinity of a rational function

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Integration by Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

WIR 20B M152 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using u-substitution

MATH 152: u-Substitution Exercise 3

Using u-substitution to integrate a rational function

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

MATH 152: Partial Fraction Decomposition Exercise 1

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 2

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 3

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 5

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 6

Using partial fraction decomposition to rewrite and then integrate a rational function

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

Vectors and Derivatives: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions and using the Squeeze Theorem

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

The Derivative as a Function: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Differentials and Approximations: MATH 151 Problems 1-6

Differentials, linear approximations, and quadratic approximations

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Integration by Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

WIR2 20B M251 V7

Finding the limit of a three-dimensional vector function

Creating and Manipulating Symbolic Expressions in Python

Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Domain of Combinations of Functions Video 1

Finding the domain of a function with a denominator, square root, and logarithm

Domain of Rational Functions Video 1

Finding the domain of several rational functions

Domain of Rational Functions Video 2

Finding the domain of a rational function

Domain of Rational Functions Video 3

Explaining how to find any holes and vertical asymptotes of a rational function

Domain of Rational Functions Video 4

Finding the domain of a rational function using factoring

Solving Linear Equations Algebraically Video 2

Solving a linear equation algebraically

Properties of Rational Functions and Expressions Video 1

Discussing parent functions of rational functions and their properties

Properties of Rational Functions and Expressions Video 2

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 3

Explaining how to do polynomial long division

Properties of Rational Functions and Expressions Video 4

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 5

Determining the end behavior and horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 6

Explaining basic algebraic operations for fractions

Properties of Rational Functions and Expressions Video 7

How to simplify rational expressions

Properties of Rational Functions and Expressions Video 9

Explaining how to multiply and divide rational expressions

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition