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Chapter 9: Q 35. (page 747)

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

r=4cos胃+cos9胃cos胃

Short Answer

Expert verified

0,蟺2鈭�蟺2,3蟺2鈭�3蟺2,2蟺

Step by step solution

01

Given information

r=4cos胃+cos9胃cos胃

02

Explanation

Consider the polar equation r=4cos胃+cos9胃cos胃 The goal is to draw the graph of the polar equation supplied.

We will draw the graph here using a graphing calculator.

If we look at the graph, we can see that it repeats itself over a period of time. 0,蟺2鈭�蟺2,3蟺2鈭�3蟺2,2蟺Therefore, the answer is 0,蟺2鈭�蟺2,3蟺2鈭�3蟺2,2蟺

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Most popular questions from this chapter

Complete the definitions in Exercises 3-5.

Given a fixed line in the plane, called the ________, and a given fixed point called the _______, a parabola is the set of all points in the plane ________.

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

Sketch the graphs of the equations

r=21+2cos胃and r=21+2sin胃

What is the relationship between these graphs? What is the eccentricity of each graph?

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

foci(3,1)and(3,9), directrixy=4

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