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Chapter 9: Q. 30 (page 747)

Graph the equations in Exercises 25鈥�32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17鈥�24.

r=胃,r鈮�0.

Short Answer

Expert verified

Required graph is as follows,

Step by step solution

01

Step 1. Given Information.

The given polar equation isr=胃,r鈮�0r=胃,r鈮�0.

02

Step 2. Explanation.

We have r=胃, r is negative so points are plotted in the diagonally opposite quadrant.

So, graph of the equation is as follows,

03

Step 3. Compare the graph.

Graph of the equation in 胃r-planeis as follows,

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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=2cos胃

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

r2=cos胃

Explain why there are infinitely many different ellipses with the same foci.

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

foci(0,卤伪), minor axis2伪

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

r=21+3cos胃
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