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Areas of regions Find the area of the | Ch 10 - 20RE

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 20RE Chapter 10

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 20RE

Areas of regions Find the area of the following regions. In each case, graph the curve(s) and shade the region in question.

The region inside the limaçon r = 2 + cos θ and outside the circle r = 2

Step-by-Step Solution:

Solution 20RE

Step 1:

Given the  limaçon r = 2+ cos θ

The equation (up to translation and rotation) of a limaçon in polar coordinate has the form

Therefore in our question we have and

Here since  the limocon is a simple closed curve.

Also given a circle

Step 2:

The graph of the curve is

Step 3 of 4

Chapter 10, Problem 20RE is Solved
Step 4 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Areas of regions Find the area of the | Ch 10 - 20RE

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