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Chapter 9: Q. 47 (page 772)

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

r=51+cos胃

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information.

The given equation isr=51+cos胃.

02

Step 2. Comparison.

On comparing the given equation with standard form,

r=eu1+ecos胃The eccentricitye=1Hereeu=5u=5

03

Step 3. Graph.

For r=51+cos胃the eccentricity ise=1, so the graph is a parabola. The directrix will be the vertical line x=5.

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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.

0,2

Given two points in a plane, called _______, a hyperbola 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=sin4胃

Sketch the graphs of the equations

r=22+cos胃and localid="1649860998050" r=22+sin胃

What is the relationship between these graphs? What is the eccentricity of each graph?

In exercises 31-36 find a definite integral that represents the length of the specified polar curve, and then use a graphing calculator or computer algebra system to approximate the value of integral

Onepetalofthepolarroser=cos2胃
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