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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

For each shaded region in Problems 1-6, (a) form the integral that represents the area of the shaded region and (b) find the area of the region.

Chapter 13.3, Problem 5E, For each shaded region in Problems 1-6, (a) form the integral that represents the area of the shaded

(a)

To determine

To calculate: The integral that represents the area of the shaded region.

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 13.3, Problem 5E , additional homework tip  1

Explanation

Given information:

The provided region is:

Formula used:

Area between two Curves:

If f and g are continuous functions on [a,b] and if f(x)g(x) for all x in [a,b] then the area of the region between the graphs of f and g are given and between x=a and x=b is given by:

A=ab[f(x)g(x)dx]

Calculation:

Consider the curve:

It can be deduced from the above graph that (4x2)(14x32) and the range is from x=1 to x=2, so f(x)=(4x2) and g(x)=(14x32)

(b)

To determine

To calculate: The area of the region

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 13.3, Problem 5E , additional homework tip  2

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Chapter 13 Solutions

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Sect-13.1 P-9ESect-13.1 P-10ESect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.2 P-1CPSect-13.2 P-2CPSect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 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