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Chapter 9: Q. 18 (page 747)

Graph the equation in the 胃r-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

r=12-sin胃

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. Given information

The equation:

r=12-sin胃

02

Step 2. Graph the equation in θr-plane. 

The value of 胃lies on the horizontal axis and rlies on the vertical axis.

The graph of r=12-sin胃is obtained by reflecting the graph of r=sin胃with respect to the horizontal axis, then shifting the graph by 12unit, vertically upward.

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Most popular questions from this chapter

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

the spiralr=e胃for0鈮�胃鈮�2蟺

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

r=24+cos胃

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

r=cos4胃

Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32鈥�37.

foci(卤伪,0), major axis4伪

Sketch the graphs of the equations

r=11+cos胃and localid="1649854142659" r=11+sin胃

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