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Chapter 9: Q. 33 (page 747)

Find the smallest interval necessary to draw a complete graph of the functions in Exercises 33鈥�38, and then graph each function using a graphing calculator or computer algebra system.

r=cos2胃/5

Short Answer

Expert verified

The interval is 0,10蟺.

The required graph is as follows,

Step by step solution

01

Step 1. Given information.

The polar equation isr=cos2胃/5.

02

Explanation.

Cosine is even function. The graph of equation is symmetrical with respect to the origin.

So the smallest interval to draw the graph is0,10蟺.

03

Step 3. Graph.

The required graph is as follows,

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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.

3,-3

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

One petal of the polar roser=cos4胃

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

foci(0,卤4), directricesy=卤2

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

r2=cos胃

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

r=21+cos胃
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