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Chapter 9: Q. 23 (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=sec胃

Short Answer

Expert verified

The graph of the equation:

Step by step solution

01

Step 1. Given information:

The equation of the curve:

r=sec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=sec胃is:

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Most popular questions from this chapter

Explain why there are infinitely many different ellipses with the same foci.

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

y=x

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

r=-3sec胃

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

foci(0,卤伪), minor axis2伪

In exercises 31-36 find a definite integral that represents the length of the specified polar curve, and then use a graphing calculator or computer algebra system to approximate the value of integral

Onepetalofthepolarroser=cos2胃
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