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Chapter 9: Q. 48 (page 772)

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

r=24+cos胃

Short Answer

Expert verified

The graph will be

Step by step solution

01

Step 1. Given Information.

The given equation isr=24+cos胃

02

Step 2. Comparison.

On comparing the given equation with standard form r=eu1+ecos胃,

r=244+cos胃4r=1244+cos胃4r=121+14cos胃The eccentricitye=14Hereeu=12u=2

03

Step 3. Graph.

For r=24+cos胃the eccentricity is e=14, so the graph is an ellipse. The directrix will be the vertical line x=2.

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Most popular questions from this chapter

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(1+sin胃)2d胃

Complete the definitions in Exercises3-5.

Given two points in a plane, called _______, an ellipse is the set of points in the plane for which _______.

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r=2cos胃

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r=sin3胃

In Exercises 48鈥�55 convert the equations given in rectangular coordinates to equations in polar coordinates.

x=4
See all solutions

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