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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

The required graph is as follows,

Step by step solution

01

Step 1. Given Information.

The given polar equation isr=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 graphs.

The graph of the equation in polar plane is spiral curve and the graph in 胃r-plane is as follows,

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Most popular questions from this chapter

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

r=22+sin胃

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

r=伪1+cos胃

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

r=31+cos胃

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

r2=sin胃

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

y=mx
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