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Chapter 9: Q. 18 (page 775)

Graphs of polar functions: Use polar coordinates to graph each of the following functions.

r=4鈭�2cos胃

Short Answer

Expert verified

The graph of the equation r=4鈭�2cos胃is

Step by step solution

01

Given information.

The given equation is r=4鈭�2cos胃

02

Graph

The table for r=4鈭�2cos胃

胃
r
0
2
90掳
4
60掳
3

Plot the points on the graph, the graph of the equation is as shown below;

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Most popular questions from this chapter

Measurements indicate that the orbital eccentricity of Mars is0.0935 and its semimajor axis is 1.517323951astronomical units.

(a) Write a Cartesian equation for the orbit of Mars.

(b) Do xand yhave the same meaning as in Exercise 53?

(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.

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

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

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

r=sin3胃

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

r=sin4胃

In Exercises 60 and 61 we ask you to prove Theorem 9.23 for ellipses and hyperbolas

Consider the ellipse with equation x2A2+y2B2=1where A>B. Let Fbe the focus with coordinates A2-B2,0. Let e=A2-B2Aand l be the vertical line with equation x=Ae. Show that for any point P on the ellipse, FPDP=e', where Dis the point on l closest to P.
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