   Chapter 10.5, Problem 20E

Chapter
Section
Textbook Problem

Finding the Area of a Polar Region In Exercises 19-26, use a graphing utility to graph the polar equation. Find the area of the given region analytically.Inner loop of   r = 2 − 4 cos θ

To determine

To Calculate: The graph of polar equation r=24cosθ by the use of graphing utility

And also, area of inner loop of r=24cosθ.

Explanation

Given:

The polar equation r=24cosθ.

Calculation:

The graph of the curve r=24cosθ is:

To find the value of α and β take r=0.

That is,

0=24cosθ

cosθ=12

θ=π3

So, α=0 and β=π3

Therefore, the total area will be:

A=2.120π3[r]2.dθ

A=0π3[24cosθ]2.dθ

A=0π3[4+16cos2θ16cosθ].dθ

A=0π3[4+16(1+cos2θ2)16cosθ]

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

For the following set of scores, find the value of each expression: a. X b. (X)2 c. X2 d. (X +3)

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

Describe mathematical modeling in your own words.

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

If a X b, show that a E(X) b.

Probability and Statistics for Engineering and the Sciences

In Problems 7-34, perform the indicated operations and simplify. 31.

Mathematical Applications for the Management, Life, and Social Sciences

j × (−k) = i −i j + k −j − k

Study Guide for Stewart's Multivariable Calculus, 8th

Explain the distinction between science and pseudoscience.

Research Methods for the Behavioral Sciences (MindTap Course List) 