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

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Chapter 7.8, Problem 3CP
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Problem 8SWU
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Problem 10SWU
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Problem 12SWU
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Checkpoint 3 Worked-out solution available at LarsonAppliedCalculus.com

Use a double integral to find the area of the rectangular region shown in Example 3 by integrating with respect to x and then with respect to y.

To determine

To calculate: The area of the region R bounded by x;1≤x≤5 and y;2≤y≤4 using double integration with respect to x and then with respect to y.

Calculus: An Applied Approach (MindTap Course List), Chapter 7.8, Problem 3CP

Explanation

Given Information:

The provided figure is,

Formula used:

The area A of the region R bounded by a≤x≤b and g1(x)≤y≤g2(x) is given by,

A=∫ab∫g1(x)g2(x)dydx=∫g1(x)g2(x)[∫abdx]dy

Calculation:

Consider the provided range x;1≤x≤5 and y;2≤y≤4

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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 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.2 P-45ESect-7.2 P-46ESect-7.2 P-47ESect-7.2 P-48ESect-7.2 P-49ESect-7.2 P-50ESect-7.2 P-51ESect-7.3 P-1CPSect-7.3 P-2CPSect-7.3 P-3CPSect-7.3 P-4CPSect-7.3 P-5CPSect-7.3 P-1SWUSect-7.3 P-2SWUSect-7.3 P-3SWUSect-7.3 P-4SWUSect-7.3 P-5SWUSect-7.3 P-6SWUSect-7.3 P-7SWUSect-7.3 P-8SWUSect-7.3 P-9SWUSect-7.3 P-10SWUSect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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Mathematical Excursions (MindTap Course List)

Find y and y. y=lnx1+lnx

Single Variable Calculus: Early Transcendentals

Perform the indicated operations and write each result in engineering notation rounded to three significant dig...

Elementary Technical Mathematics

With P and Q sublets of U as shown, shade ~PQ.

Elementary Geometry For College Students, 7e

As a tax return preparer for The Fernando Rodriguez Tax & Accounting Service, you have been asked to calculate ...

Contemporary Mathematics for Business & Consumers

Use the lengths a, b, r, and d to find the coordinates of point P. That is, find equations for x and y in terms...

Trigonometry (MindTap Course List)

16. Let be a subgroup of and assume that every left coset of in is equal to a right coset of in . Prove that...

Elements Of Modern Algebra

Finding and Analyzing Derivatives Using Technology In Exercises 49-54, (a) use a computer algebra system to dif...

Calculus of a Single Variable

Finding Volume In Exercise 21-26, use double integral to find the volume of the indicated solid.

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 49 and 50, determine whether the statement is true or false. If it is true, explain why it is true...

Finite Mathematics for the Managerial, Life, and Social Sciences

Which points lie on the graph of 3x-2y=12? a 6, 2 b -2, 3

Elementary Geometry for College Students

f(x) = 12x x3 has a local maximum at: a) x = 0 b) x = 2 c) x = 2 d) f does not have a local maximum

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

Linear Differential Equation Determine the order of each linear differential equation and decide whether each e...

Multivariable Calculus

Equivalent Vectors In Bunches 5-8, find the vector: u and v whose initial and terminal points are given. Show t...

Calculus

Volume of a Torus A torus is formed by revolving the region bounded by the circle x2+y2=1 about the line x=2 (s...

Calculus (MindTap Course List)

If (a, b) is a critical point of f(x, y), all second derivatives of f are continuous, and fxx(a, b) = 10, fyy(a...

Study Guide for Stewart's Multivariable Calculus, 8th

Express 18.5 square meters as square feet. Round the answer to 1 decimal place.

Mathematics For Machine Technology

Solve: x212=0.

College Algebra (MindTap Course List)

An article from the Associated Press (May 14, 2002) led with the headline Academic Success Lowers Pregnancy Ris...

Introduction To Statistics And Data Analysis

For the United States, the mean monthly Internet bill is 32.79 per household (CNBC, January 18, 2006). A sample...

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

Following is a list of some of the journals published by the APA. Select a journal that sounds interesting to y...

Research Methods for the Behavioral Sciences (MindTap Course List)

The number of users of Facebook from 2004 through 2011 follows (Facebook website, April 16, 2012). Year Period ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Answer the following using complete sentences and your own words. CONCEPT QUESTIONS In the article on periodic ...

Mathematics: A Practical Odyssey

Suppose that there is a negative relationship between grade point average and the number of hours spent playing...

Research Methods for the Behavioral Sciences (MindTap Course List)

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