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Chapter 9: Q.31 (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=sec胃

Short Answer

Expert verified

The required graph is as follows,

Step by step solution

01

Step 1. Given Information.

The polar equation isr=sec胃.

02

Step 2. Explanation. 

Make a table.

胃
0
蟺
2蟺
r=sec胃
1-11
03

Step 3. Draw the graph.

The required graph is as follows,

04

Step 4. Compare the graph.

The graph of equation in polar plane is a vertical line parallel to y-axis at distance 1 unit and the graph in 胃r-planeis as follows.

As we have seen in both the graphs, it is observed that one graph is plotted in polar form and one graph is plotted in algebraic form. Both the graphs are different.

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Most popular questions from this chapter

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

r=21-3cos胃

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38鈥�43.

foci(卤6,0), directricesx=卤1

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

directrixy=0,focus(0,1)

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

Thespiralr=e伪胃for0鈮�胃鈮�2蟺

Complete the square to describe the conics in Exercises 18鈥�21 .

y2-8y-4x2-8x-13=0
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