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Chapter 9: Q. 19 (page 775)

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

r=2鈭�8sin胃

Short Answer

Expert verified

The graph of the functionr=2-8sin胃 is,

Step by step solution

01

Given information.

The given equation isr=2-8sin胃

02

Graph.

The table for r=2-8sin胃

胃
r
0
2
蟺2
21-2
蟺6
2-22-2

Plot the points on the graph, the resultant graph of the function is,

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Most popular questions from this chapter

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral isA=鈭�0蟺2sin2胃d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.

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

The limaconr=2+cos胃

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

foci(卤2,0), directricesx=卤1

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

directrixx=3, focus(0,1)
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