BuyFind*launch*

10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 5.1, Problem 1CP

Textbook Problem

Checkpoint 1 Worked-out solution available at LarsonAppliedCalculus.com

Find each indefinite integral.

Calculus: An Applied Approach (MindTap Course List)

Ch. 5.1 - Checkpoint 1 Worked-out solution available at...Ch. 5.1 - Checkpoint 2 Worked-out solution available at...Ch. 5.1 - Checkpoint 3 Worked-out solution available at...Ch. 5.1 - Checkpoint 4 Worked-out solution available at...Ch. 5.1 - Checkpoint 5 Worked-out solution available at...Ch. 5.1 - Checkpoint 6 Worked-out solution available at...Ch. 5.1 - Checkpoint 7 Worked-out solution available at...Ch. 5.1 - Checkpoint 8 Worked-out solution available at...Ch. 5.1 - In Exercises 1-6, rewrite the expression using...Ch. 5.1 - In Exercises 1-6, rewrite the expression using...

Ch. 5.1 - In Exercises 1-6, rewrite the expression using...Ch. 5.1 - In Exercises 1-6, rewrite the expression using...Ch. 5.1 - In Exercises 1-6, rewrite the expression using...Ch. 5.1 - In Exercises 1-6, rewrite the expression using...Ch. 5.1 - In Exercises 7-10, let (x, y) = (2, 2), and solve...Ch. 5.1 - In Exercises 7-10, let (x, y) = (2, 2), and solve...Ch. 5.1 - In Exercises 7-10, let (x, y) = (2, 2), and solve...Ch. 5.1 - In Exercises 7-10, let (x, y) = (2, 2), and solve...Ch. 5.1 - Integration and Differentiation In Exercises 1- 6,...Ch. 5.1 - Integration and Differentiation In Exercises 1- 6,...Ch. 5.1 - Integration and Differentiation In Exercises 1- 6,...Ch. 5.1 - Integration and Differentiation In Exercises 1- 6,...Ch. 5.1 - Integration and Differentiation In Exercises 1- 6,...Ch. 5.1 - Integration and Differentiation In Exercises 1-6,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 7-18,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Rewriting Before Integrating In Exercises 19-24,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 25-36,...Ch. 5.1 - Finding Indefinite Integrals In Exercises 25-36,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Finding indefinite integrals In Exercises 2536,...Ch. 5.1 - Using Technology In Exercises 37 and 38, use a...Ch. 5.1 - Using Technology In Exercises 37 and 38, use a...Ch. 5.1 - Interpreting a Graph In Exercises 3942, the graph...Ch. 5.1 - Interpreting a Graph In Exercises 3942, the graph...Ch. 5.1 - Interpreting a Graph In Exercises 3942, the graph...Ch. 5.1 - Interpreting a Graph In Exercises 3942, the graph...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 4350,...Ch. 5.1 - Finding a Particular Solution In Exercises 5154,...Ch. 5.1 - Finding a Particular Solution In Exercises 5154,...Ch. 5.1 - Finding a Particular Solution In Exercises 5154,...Ch. 5.1 - Finding a Particular Solution In Exercises 5154,...Ch. 5.1 - Finding a Cost Function In Exercises 5558, find...Ch. 5.1 - Finding a Cost Function In Exercises 5558, find...Ch. 5.1 - Finding a Cost Function In Exercises 5558, find...Ch. 5.1 - Finding a Cost Function In Exercises 5558, find...Ch. 5.1 - Revenue and Demand In Exercises 59 and 60, find...Ch. 5.1 - Revenue and Demand In Exercises 59 and 60, find...Ch. 5.1 - Profit In Exercises 6164, find the profit function...Ch. 5.1 - Profit In Exercises 6164, find the profit function...Ch. 5.1 - Profit In Exercises 6164, find the profit function...Ch. 5.1 - Profit In Exercises 6164, find the profit function...Ch. 5.1 - Vertical Motion In Exercises 6568, use s(t)=32...Ch. 5.1 - Vertical Motion In Exercises 6568, use s(t)=32...Ch. 5.1 - Vertical Motion In Exercises 6568, use s(t) = 32...Ch. 5.1 - Vertical Motion In Exercises 6568, use s(t) = 32...Ch. 5.1 - Cost A company produces a product for which the...Ch. 5.1 - Gardening An evergreen nursery usually sells a...Ch. 5.1 - Population growth The growth rate of the...Ch. 5.1 - HOW DO YOU SEE IT? The graph shows the rate of...Ch. 5.1 - Vital Statistics The rate of increase of the...Ch. 5.1 - Internet Users The rate of growth of the number of...Ch. 5.1 - Economics: Marginal Benefits and Costs The table...Ch. 5.2 - Checkpoint 1 Worked-out solution available at...Ch. 5.2 - Checkpoint 2 Worked-out solution available at...Ch. 5.2 - Checkpoint 3 Worked-out solution available at...Ch. 5.2 - Checkpoint 4 Worked-out solution available at...Ch. 5.2 - Checkpoint 5 Worked-out solution available at...Ch. 5.2 - Checkpoint 6 Worked-out solution available at...Ch. 5.2 - Checkpoint 7 Worked-out solution available at...Ch. 5.2 - Checkpoint 8 Worked-out solution available at...Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - In Exercises 1-9, find the indefinite integral....Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Finding u and du/dx In Exercises 1-8, identify u...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 9-34,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Applying the General Power Rule In Exercises 934,...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Integration by Substitution In Exercises 3542, use...Ch. 5.2 - Comparing Methods In Exercises 43-46, (a) perform...Ch. 5.2 - Comparing Methods In Exercises 43-46, (a) perform...Ch. 5.2 - Comparing Methods In Exercises 43-46, (a) perform...Ch. 5.2 - Comparing Methods In Exercises 43-46, (a) perform...Ch. 5.2 - Finding an Equation of a Function In Exercises...Ch. 5.2 - Finding an Equation of a Function In Exercises...Ch. 5.2 - Finding an Equation of a Function In Exercises...Ch. 5.2 - Finding an Equation of a Function In Exercises...Ch. 5.2 - Cost The marginal cost of a product is modeled by...Ch. 5.2 - Cost The marginal cost of a product is modeled by...Ch. 5.2 - Supply In Exercises 53 and 54, find the supply...Ch. 5.2 - Supply In Exercises 53 and 54, find the supply...Ch. 5.2 - Supply In Exercises 53 and 54, find the supply...Ch. 5.2 - Supply In Exercises 53 and 54, find the supply...Ch. 5.2 - Gardening An evergreen nursery usually sells a...Ch. 5.2 - HOW DO YOU SEE IT? The graph shows the rate of...Ch. 5.2 - Marginal Propensity to Consume In Exercises 59 and...Ch. 5.2 - Marginal Propensity to Consume In Exercises 59 and...Ch. 5.2 - Integration Using Technology In Exercises 61 and...Ch. 5.2 - Integration Using Technology In Exercises 61 and...Ch. 5.3 - Checkpoint 1 Worked-out solution available at...Ch. 5.3 - Checkpoint 2 Worked out solution available at...Ch. 5.3 - Checkpoint 3 Worked-out solution available at...Ch. 5.3 - Checkpoint 4 Worked-out solution available at...Ch. 5.3 - Checkpoint 5 Worked-out solution available at...Ch. 5.3 - Checkpoint 6 Worked-out solution available at...Ch. 5.3 - Checkpoint 7 Worked-out solution available at...Ch. 5.3 - In Exercises 14, use long division to rewrite the...Ch. 5.3 - In Exercises 14, use long division to rewrite the...Ch. 5.3 - In Exercises 14, use long division to rewrite the...Ch. 5.3 - In Exercises 14, use long division to rewrite the...Ch. 5.3 - In Exercises 58, find the indefinite integral....Ch. 5.3 - In Exercises 58, find the indefinite integral....Ch. 5.3 - In Exercises 58, find the indefinite integral....Ch. 5.3 - In Exercises 58, find the indefinite integral....Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Integrating an Exponential Function In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Using the log Rule for integration In Exercises...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding indefinite integrals In Exercises 3146,...Ch. 5.3 - Finding an Equation of a Function In Exercises...Ch. 5.3 - Finding an Equation of a Function In Exercises...Ch. 5.3 - Finding an Equation of a Function In Exercises...Ch. 5.3 - Finding an Equation of a Function In Exercises...Ch. 5.3 - Biology A population P of bacteria is growing at...Ch. 5.3 - Biology Because of an insufficient oxygen supply,...Ch. 5.3 - Demand The marginal price for the demand of a...Ch. 5.3 - HOW DO YOU SEE IT? The graph shows the rate of...Ch. 5.3 - Revenue The rate of change in revenue for the...Ch. 5.3 - Revenue The rate of change in revenue for DIRECTV...Ch. 5.3 - True or False In Exercises 57 and 58, determine...Ch. 5.3 - True or False In Exercises 57 and 58, determine...Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 1-9, find the indefinite integral....Ch. 5.3 - In Exercises 10 and 11, find the particular...Ch. 5.3 - In Exercises 10 and 11, find the particular...Ch. 5.3 - The marginal cost of producing x units of a...Ch. 5.3 - Find an equation of the function f whose graph...Ch. 5.3 - The number of bolts B produced by a foundry...Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - In Exercises 1520, find the indefinite integral....Ch. 5.3 - The rate of change in revenue for Under Armour...Ch. 5.4 - Checkpoint 1 Worked-out solution available at...Ch. 5.4 - Checkpoint 2 Worked-out solution available at...Ch. 5.4 - Checkpoint 3 Worked-out solution available at...Ch. 5.4 - Checkpoint 4 Worked-out solution available at...Ch. 5.4 - Checkpoint 5 Worked-out solution available at...Ch. 5.4 - Checkpoint 6 Worked-out solution available at...Ch. 5.4 - Checkpoint 7 Worked-out solution available at...Ch. 5.4 - Checkpoint 8 Worked-out solution available at...Ch. 5.4 - Checkpoint 9 Worked-out solution available at...Ch. 5.4 - In Exercises 1-4, find the indefinite integral....Ch. 5.4 - In Exercises 1-4, find the indefinite integral....Ch. 5.4 - In Exercises 1-4, find the indefinite integral....Ch. 5.4 - In Exercises 1-4, find the indefinite integral....Ch. 5.4 - In Exercises 5-7, integrate the marginal function....Ch. 5.4 - In Exercises 5-7, integrate the marginal function....Ch. 5.4 - In Exercises 5-7, integrate the marginal function....Ch. 5.4 - Evaluating a Definite integral using a Geometric...Ch. 5.4 - Evaluating a Definite integral using a Geometric...Ch. 5.4 - Evaluating a Definite integral using a Geometric...Ch. 5.4 - Evaluating a Definite integral using a Geometric...Ch. 5.4 - Evaluating a Definite integral using a Geometric...Ch. 5.4 - Evaluating a Definite Integral Using a Geometric...Ch. 5.4 - Using Properties of Definite Integrals In...Ch. 5.4 - Using Properties of Definite Integrals In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Finding Area by the Fundamental Theorem In...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 17-38,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 1738,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 1738,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 1738,...Ch. 5.4 - Evaluating a Definite Integral In Exercises 1738,...Ch. 5.4 - Definite Integral Involving Absolute Value In...Ch. 5.4 - Definite Integral Involving Absolute Value In...Ch. 5.4 - Definite Integral Involving Absolute Value In...Ch. 5.4 - Definite Integral Involving Absolute Value In...Ch. 5.4 - Finding the Area of a Region In Exercises 43-46,...Ch. 5.4 - Finding the Area of a Region In Exercises 43-46,...Ch. 5.4 - Finding the Area of a Region In Exercises 43-46,...Ch. 5.4 - Finding the Area of a Region In Exercises 43-46,...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Marginal Analysis In Exercises 4752, find the...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 5360,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Average Value of a Function In Exercises 53-60,...Ch. 5.4 - Integrating Even and Odd Functions In Exercises...Ch. 5.4 - Integrating Even and Odd Functions In Exercises...Ch. 5.4 - Integrating Even and Odd Functions In Exercises...Ch. 5.4 - Integrating Even and Odd Functions In Exercises...Ch. 5.4 - Using Properties of Definite Integrals Use the...Ch. 5.4 - Using Properties of Definite Integrals Use the...Ch. 5.4 - Finding the Amount of an Annuity In Exercises...Ch. 5.4 - Finding the Amount of an Annuity In Exercises...Ch. 5.4 - Finding the Amount of an Annuity In Exercises...Ch. 5.4 - Finding the Amount of an Annuity In Exercises...Ch. 5.4 - Capital Accumulation In Exercises 71-74, you are...Ch. 5.4 - Capital Accumulation In Exercises 71-74, you are...Ch. 5.4 - Capital Accumulation In Exercises 71-74, you are...Ch. 5.4 - Capital Accumulation In Exercises 71-74, you are...Ch. 5.4 - Cost The total cost of purchasing a piece of...Ch. 5.4 - Depreciation A company purchases a new machine for...Ch. 5.4 - Compound Interest A deposit of $2250 is made in a...Ch. 5.4 - HOW DO YOU SEE IT? A college graduate has two job...Ch. 5.4 - Mortgage Debt The rate of change of mortgage debt...Ch. 5.5 - Checkpoint 1 Worked-out solution available at...Ch. 5.5 - Checkpoint 2 Worked-out solution available at...Ch. 5.5 - Checkpoint 3 Worked-out solution available at...Ch. 5.5 - Checkpoint 4 Worked-out solution available at...Ch. 5.5 - Checkpoint 5 Worked-out solution available at...Ch. 5.5 - Checkpoint 6 Worked-out solution available at...Ch. 5.5 - In Exercises 1-4, simplify the expression....Ch. 5.5 - In Exercises 1-4, simplify the expression....Ch. 5.5 - In Exercises 1-4, simplify the expression....Ch. 5.5 - In Exercises 1-4, simplify the expression....Ch. 5.5 - In Exercises 5-8, find the points of intersection...Ch. 5.5 - In Exercises 5-8, find the points of intersection...Ch. 5.5 - In Exercises 5-8, find the points of intersection...Ch. 5.5 - In Exercises 5-8, find the points of intersection...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Region In Exercises 9-12, the...Ch. 5.5 - Finding the Region In Exercises 9-12, the...Ch. 5.5 - Finding the Region In Exercises 9-12, the...Ch. 5.5 - Finding the Region In Exercises 9-12, the...Ch. 5.5 - Think About It In Exercises 13 and 14, determine...Ch. 5.5 - Think About It In Exercises 13 and 14, determine...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Finding the Area Bounded by Two Graphs In...Ch. 5.5 - Writing Integrals In Exercises 31-34, use a...Ch. 5.5 - Writing Integrals In Exercises 31-34, use a...Ch. 5.5 - Writing Integrals In Exercises 31-34, use a...Ch. 5.5 - Writing Integrals In Exercises 31-34, use a...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Finding Area In Exercises 35-40, use a graphing...Ch. 5.5 - Area of a Region In Exercises 41 and 42, use...Ch. 5.5 - Area of a Region In Exercises 41 and 42, use...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Consumer and Producer Surpluses In Exercises...Ch. 5.5 - Revenue In Exercises 49 and 50, two models, R1 and...Ch. 5.5 - Revenue In Exercises 49 and 50, two models, R1 and...Ch. 5.5 - Fuel Cost The projected fuel cost C (in millions...Ch. 5.5 - Health An epidemic was spreading such that t weeks...Ch. 5.5 - Consumer Trends For the years 2003 through 2012,...Ch. 5.5 - HOW DO YOU SEE IT? A state legislature is debating...Ch. 5.5 - Cost, Revenue, and Profit The revenue (in millions...Ch. 5.5 - Cost, Revenue, and Profit Repeat Exercise 55 for...Ch. 5.5 - Consumer and Producer Surpluses Factory orders for...Ch. 5.5 - Consumer and Producer Surpluses Repeat Exercise 57...Ch. 5.6 - Checkpoint 1 Worked-out solution available at...Ch. 5.6 - Checkpoint 2 Worked-out solution available at...Ch. 5.6 - Checkpoint 3 Worked-out solution available at...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 1-6, find the midpoint of the...Ch. 5.6 - In Exercises 7-10, find the limit....Ch. 5.6 - In Exercises 7-10, find the limit. limx4x+57x5Ch. 5.6 - In Exercises 7-10, find the limit. limxx7x2+1Ch. 5.6 - In Exercises 7-10, find the limit....Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Approximating the Area of a Plane Region In...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 7-14, use the...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Using the Midpoint Rule In Exercises 15-20, use...Ch. 5.6 - Surface Area Use the Midpoint Rule to estimate the...Ch. 5.6 - Surface Area Use the Midpoint Rule to estimate the...Ch. 5.6 - Surface Area Use the Midpoint Rule to estimate the...Ch. 5.6 - Numerical Approximation Use the Midpoint Rule with...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding Indefinite Integrals In Exercises 114,...Ch. 5 - Finding a Particular Solution In Exercises 1518,...Ch. 5 - Finding a Particular Solution In Exercises 1518,...Ch. 5 - Finding a Particular Solution In Exercises 1518,...Ch. 5 - Finding a Particular Solution In Exercises 1518,...Ch. 5 - Vertical Motion An object is projected upward from...Ch. 5 - Revenue A company produces a new product for which...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Applying the General Power Rule In Exercises 2132,...Ch. 5 - Production The rate of change of the output of a...Ch. 5 - Cost The marginal cost for a catering service to...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Using the Exponential and Log Rules In Exercises...Ch. 5 - Evaluating a Definite Integral using a Geometric...Ch. 5 - Evaluating a Definite Integral using a Geometric...Ch. 5 - Evaluating a Definite Integral using a Geometric...Ch. 5 - Evaluating a Definite Integral using a Geometric...Ch. 5 - Using Properties of Definite integrals Given...Ch. 5 - Using Properties of Definite Integrals Given...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Finding Area by the Fundamental Theorem In...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Evaluating a Definite Integral In Exercises 5970,...Ch. 5 - Average Value of a Function In Exercises 7176,...Ch. 5 - Average Value of a Function In Exercises 7176,...Ch. 5 - Average Value of a Function In Exercises 71-76,...Ch. 5 - Average Value of a Function In Exercises 7176,...Ch. 5 - Average Value of a Function In Exercises 7176,...Ch. 5 - Average Value of a Function In Exercises 7176,...Ch. 5 - Integrating Even and Odd Functions In Exercises...Ch. 5 - Integrating Even and Odd Functions In Exercises...Ch. 5 - Integrating Even and Odd Functions In Exercises...Ch. 5 - Integrating Even and Odd Functions In Exercises...Ch. 5 - Finding the Amount of an Annuity In Exercises 81...Ch. 5 - Finding the Amount of an Annuity In Exercises 81...Ch. 5 - Cost The marginal cost of serving an additional...Ch. 5 - Profit The marginal profit obtained by selling x...Ch. 5 - Compound Interest A deposit of $500 is made in a...Ch. 5 - Sales The rate of change in sales for Garmin from...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Finding the Area Bounded by Two Graphs In...Ch. 5 - Consumer and Producer Surpluses In Exercises...Ch. 5 - Consumer and Producer Surpluses In Exercises...Ch. 5 - Consumer and Producer Surpluses In Exercises...Ch. 5 - Consumer and Producer Surpluses In Exercises...Ch. 5 - Revenue For the years 2020 through 2025, two...Ch. 5 - Revenue For the years 2004 through 2013, the...Ch. 5 - Cost, Revenue, and Profit The revenue (in millions...Ch. 5 - Cost, Revenue, and Profit Repeat Exercise 101 for...Ch. 5 - Approximating the Area of a Plane Region In...Ch. 5 - Approximating the Area of a Plane Region In...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 105-110, use...Ch. 5 - Using the Midpoint Rule In Exercises 111-114, use...Ch. 5 - Using the Midpoint Rule In Exercises 111-114, use...Ch. 5 - Using the Midpoint Rule In Exercises 111-114, use...Ch. 5 - Using the Midpoint Rule In Exercises 111-114, use...Ch. 5 - Surface Area Use the Midpoint Rule to estimate the...Ch. 5 - Take this test as you would take a test in class....Ch. 5 - Take this test as you would take a test in class....Ch. 5 - Take this test as you would take a test in class....Ch. 5 - Take this test as you would take a test in class....Ch. 5 - Take this test as you would take a test in class....Ch. 5 - Take this test as you would take a test in class....Ch. 5 - In Exercises 7 and 8, find the particular solution...Ch. 5 - In Exercises 7 and 8, find the particular solution...Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - In Exercises 9-14, evaluate the definite integral....Ch. 5 - The rate of change in sales of Ross Stores from...Ch. 5 - In Exercises 16-19, sketch the region bounded by...Ch. 5 - In Exercises 16-19, sketch the region bounded by...Ch. 5 - In Exercises 16-19, sketch the region bounded by...Ch. 5 - In Exercises 16-19, sketch the region bounded by...Ch. 5 - The demand and supply functions for a product are...Ch. 5 - In Exercises 21 and 22, use the Midpoint Rule with...Ch. 5 - In Exercises 21 and 22, use the Midpoint Rule with...

Find more solutions based on key concepts

The curves defined by the parametric equations x=t2ct2+1y=t(t2c)t2+1 are called strophoids (from a Greek word m...

Multivariable Calculus

Career Home Runs During his major league career, Hank Aaron hit 41 more home runs than Babe Ruth hit during his...

Precalculus: Mathematics for Calculus (Standalone Book)

The graph of .f is shown. State, with reasons, the numbers at which .f is not differentiable.

Single Variable Calculus: Early Transcendentals, Volume I

Period and Amplitude In Exercises 45-48, determine the period and amplitude of each function. y=3sin4x

Calculus: Early Transcendental Functions

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 2516

Applied Calculus

Find all possible real solutions of each equation in Exercises 3144. x3+6x2+11x+6=0

Finite Mathematics and Applied Calculus (MindTap Course List)

The rectifying plane of a curve at a point is the plane that contains the vectors T and B at that point. Find t...

Calculus: Early Transcendentals

Find the appropriate measure of central tendency for each variable displayed in problem 2.5. Report each statis...

Essentials Of Statistics

A sample with a mean of M = 8 has X = 56. How many scores are in the sample?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Follow the instructions for Exercise 1a but use x1=1 as the starting approximation for finding the root r.

Calculus (MindTap Course List)

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 91. (2x + y)(2x y)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Terminology In a box-and-whisker plot. which measure of central tendency is displayed: mean, median, or mode?

Understanding Basic Statistics

In words, explain what is measured by SS, variance, and standard deviation.

Statistics for The Behavioral Sciences (MindTap Course List)

Prove that limx0x4cos2x=0.

Single Variable Calculus

For Problems 79-99, answer the question with an algebraic expression. Objective 3 The sum of two numbers is 65,...

Intermediate Algebra

Use the probability demonstrator, in the left margin, to work Excursion. Explain how you know that the number o...

Mathematical Excursions (MindTap Course List)

In Problems 27-30, the demand functions for and units of two related products, A and B, are given. Complete p...

Mathematical Applications for the Management, Life, and Social Sciences

The technology underlying hip replacements has changed as these operations have become more popular (over 250,0...

Probability and Statistics for Engineering and the Sciences

(a) Estimate the area under the graph of f(x) = sin x from x = 0 to x = /2 using four approximating rectangles ...

Single Variable Calculus: Early Transcendentals

Show that x=2(cos300+isin300) is a solution to the quadratic equation x22x+4=0.

Trigonometry (MindTap Course List)

BUSINESS DECISION: SPLITTING THE TAX You are the owner of Cach, a chain of womens clothing boutiques. Your stat...

Contemporary Mathematics for Business & Consumers

In Exercises 18 to 28, first solve each inequality. Then draw a number line graph of the solutions. 2x+317

Elementary Geometry For College Students, 7e

In Exercises 114, decide whether each of the given sets is a group with respect to the indicated operation. If ...

Elements Of Modern Algebra

Use the formula 1R=1R1+1R2 for Exercise 1-6: Given R1=24.0andR2=18.0findR.

Elementary Technical Mathematics

Verifying an Identity In Exercises 11-18, verify the identity. sinh2x=1+cosh2x2

Calculus: Early Transcendental Functions (MindTap Course List)

Finding a Particular Solution In Exercises 37-42, verify that the general solution satisfies the differential e...

Calculus of a Single Variable

Rectangle BCAC is formed when the right ABC is rotated as shown. a What is the measure of the angle of rotation...

Elementary Geometry for College Students

INVESTMENT ANALYSIS Jorge has decided to invest at most 100,000 in securities in the form of corporate stocks. ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Evaluate dx using the Fundamental Theorem of Calculus.
6
12
18
24

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

EXPLORING CONCEPTS Think About It In Exercises 43-46, determine how the graph of the surface s (u, v) differs f...

Multivariable Calculus

True or False:
is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

Verifying an Identity In Exercises 117 and 118, verify the identity. cosh2x=cosh2x+sinh2x

Calculus (MindTap Course List)

Queen City Cincinnati, Ohio, also known as the Queen City, has a population of approximately 298.000 and is the...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Self Check Graph: y=-x.

College Algebra (MindTap Course List)

The average playing time of music albums in a large collection is 35 minutes, and the standard deviation is 5 m...

Introduction To Statistics And Data Analysis

Identify the threats to internal validity for pre-post designs.

Research Methods for the Behavioral Sciences (MindTap Course List)

Write the fractional part that each length, A through F, represents of the total shown on the scale in Figure 1...

Mathematics For Machine Technology

Define the concept of “stability” within a phase, and explain why it is important.

Research Methods for the Behavioral Sciences (MindTap Course List)

Customer arrivals at a bank are random and independent; the probability of an arrival in anyone-minute period i...

Statistics for Business & Economics, Revised (MindTap Course List)

Median Household Incomes. The file MedianHousehold contains the median household income for a family with two e...

Essentials Of Statistics For Business & Economics

If o(E)=1:6, find o(E).

Mathematics: A Practical Odyssey

Let X={a,b,c} and Y={r,s,tu,v,w} , Define f:XY as follows: f(a)=v(b)=v, and f(c)=t . Draw an arrow diagram for ...

Discrete Mathematics With Applications

Reminder Round all answers to two decimal places unless otherwise indicated. Giants Ants and Spiders Many scien...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

[T] The volume of a cube depends on the length of the sides s. Write a function V(s) for the area of a square. ...

Calculus Volume 1

Gauss-Jordan Elimination: In Exercises 71-78, use matrices to solve the system of linear equations, if possible...

College Algebra

In Problems 120 find either F(s) or f(t), as indicated. 17. 1{s(s+1)2}

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

The data from exercise 3 follow.
What is the value of the standard error of the estimate?
Test for a significa...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)