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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.8, Problem 29E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Area with a Double Integral In Exercises 25-30, use a double integral to find the area of the specified region. See Example 3.

Chapter 7.8, Problem 29E, Finding Area with a Double Integral In Exercises 25-30, use a double integral to find the area of

To determine

To calculate: The area of region by using double integration shown below.

Calculus: An Applied Approach (MindTap Course List), Chapter 7.8, Problem 29E

Explanation

Given Information:

The provided region is.

Formula used:

If a region is R defined in the domain of a≤y≤b and c≤x≤d, then,

The area of the region R is,

A=∫cd∫abdydx

Calculation:

Consider the region,

The bound for x are 0≤x≤2 and the bound for y are 0≤y≤4−x2.

The area of the region is

A=∫02∫04−x2dydx

Integrate with respect to y by holding x constant,

∫02∫04−x2dydx=∫06[y]

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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Solve the equations in Exercises 126. 2x3x2x3x+1=0

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71.Population growth Suppose the formula for the growth of the population of a city for the next 10 yearsis giv...

Mathematical Applications for the Management, Life, and Social Sciences

Use Polyas four-step problem-solving strategy and the problem-solving procedures presented in this section to s...

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Refer to the figure and find the volume generated by rotating the given region about the specified line. R1 abo...

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24. Assume that the group is a homomorphic image of the group . Prove that is cyclic if is cyclic. Prove that ...

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For each of the following functions, find f1(x). Then show that f[ f1(x) ]=x. f(x)=x3+1

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Making a Function Continuous In Exercises 6368, find the constant a, or the constants a and b, such that the fu...

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Comparing Methods Let I=04f(x)dx, where f is shown in the figure. Let L(n) and R(n) represent the Riemann sums ...

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Consider the following normal curve with mean and standard deviation : a. What is the x-coordinates of the pea...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 1 to 17, complete an analytic proof for each theorem. The line segments that join the midpoints of...

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Calculus (MindTap Course List)

Differentiation of Vector-Valued FunctionsIn Exercises 310, find rt(t), r(t0), and rt(t0) for the given value o...

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For the vector function r(t) with unit tangent T, the principal unit normal vector is:

Study Guide for Stewart's Multivariable Calculus, 8th

The quadratic approximation for at a = 1 is:

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Describe the problems that can be caused by individual differences in a between-subjects experiment and explain...

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Express the following decimal numbers as hexadecimal numbers. a. 75 b. 243 c. 927 d. 4231

Mathematics For Machine Technology

In exercise 8 ratings data on x = the quality of the speed of execution and y = overall satisfaction with elect...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Refer back to Example 13.3 in which the simple linear regression model was fit to data on x = Proportion who ju...

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Three admission test preparation programs are being evaluated. The scores obtained by a sample of 20 people who...

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

Selection bias and individual differences are both potential problems dealing with the participants in a study....

Research Methods for the Behavioral Sciences (MindTap Course List)

What is the major difference between permutation and combination?

Mathematics: A Practical Odyssey

Self Check When will the value of the television be 1650? Example 5 A high-definition curved-screen smart telev...

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