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Chapter 9: Q 36. (page 747)

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

r=esin胃鈭�2cos4胃

Short Answer

Expert verified

[0,2蟺]

Step by step solution

01

Given information

r=esin胃鈭�2cos4胃

02

Explanation

Consider the polar equation r=esin胃-2cos4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, it repeats after an interval of 2蟺so the smallest interval required for the graph is [0,2蟺]

Therefore, the smallest interval for the graph is [0,2蟺]

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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.
胃=-蟺6

Complete example 2 by evaluating the integral expression

鈭�02蟺3(12+cos胃)2d胃-鈭�蟺4蟺3(12+cos胃)2d胃

Consider the hyperbola with equation x2A2-y2B2=1.Let F be the focus with coordinates (A2+B2,0).Let e=A2+B2A and l be the vertical line with equation x=Ae. Show that for any point P on the hyperbola, FPDP=e,where D is the point on l closest to P.

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

directrixx=x0, focusx1,y1,wherex0鈮�x1.

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

y=3x
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