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Chapter 9: Q. 46 (page 772)

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

r=21+cos胃

Short Answer

Expert verified

The graph will be

Step by step solution

01

Step 1. Given information.

The given equation isr=21+cos胃.

02

Step 2. Comparison.

On comparing the given equation,

r=eu1+ecos胃The eccentricitye=1Hereeu=2u=2

03

Step 3. Graph of the equation.

For r=21+cos胃the eccentricity is e=1, so the graph is a parabola. The directrix will be the vertical line x=2.

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Most popular questions from this chapter

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

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

r=sin3胃

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

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22鈥�31.

directrixy=y0, focusx1,y1, wherey0鈮�y1

Each of the integrals or integral expressions in Exercises 38-44represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.

role="math" localid="1649518287481" 3鈭�0蟺/2sin23胃d胃.
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