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Chapter 9: Q. 28 (page 747)

Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
$r = \sin 2 θ$

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Step 1. Given information:

The equation of the curve:

$r = \sin 2 θ$

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Most popular questions from this chapter

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

$x = 0$

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

$r = θ$

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

Consider the ellipse with equation $\frac{x^{2}}{A^{2}} + \frac{y^{2}}{B^{2}} = 1$ where $A > B$ . Let $F$ be the focus with coordinates $(\sqrt{A^{2} - B^{2}}, 0)$ . Let $e = \frac{\sqrt{A^{2} - B^{2}}}{A}$ and l be the vertical line with equation $x = \frac{A}{e}$ . Show that for any point P on the ellipse, $\frac{F P}{D P} = e_{'}$ , where $D$ is the point on $l$ closest to $P$ .

Complete the square to describe the conics in Exercises $18 - 21$ .

role="math" localid="1649636875685" $4 x + y^{2} - 6 y - 3 = 0$

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

$r = \frac{α}{1 + \cos θ}$

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Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
$r = \sin 2 θ$

Short Answer

Step by step solution

Step 1. Given information:

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Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.r=sin2θ

Short Answer

Step by step solution

Step 1. Given information:

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Statistics

Calculus

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
$r = \sin 2 θ$