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Chapter 9: Q 43 (page 756)

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral is12鈭�02蟺(2+sin4胃)2d胃

Short Answer

Expert verified

The value of the integral is 28.27units

Step by step solution

01

Given information

We are given an integral12鈭�02蟺(2+sin4胃)2d胃

02

We plot the graph

We haver=2+sin胃

using graphing utility

03

Evaluate the expression

We have,

A=12鈭�02蟺(2+sin4胃)2d胃A=12鈭�02蟺(4+4sin4胃+sin24胃)d胃NowusingCAScalculatorweget,A=28.27units

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Most popular questions from this chapter

In Exercises 24鈥�31 find all polar coordinate representations for the point given in rectangular coordinates.

1,0

Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32鈥�37.

foci0,卤332, minor axis3

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.
胃=7蟺6

Use polar coordinates to graph the conics in Exercises 44鈥�51.

r=24+cos胃

Use polar coordinates to graph the conics in Exercises 44鈥�51.

r=24+sin胃
See all solutions

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