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Chapter 9: Q. 26 (page 747)

Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24 .
$r = \frac{1}{2} - \sin θ$

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Step by step solution

Step 1. Given information.

The equation of the curve:

$r = \frac{1}{2} - \sin θ$

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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.

$y = \sqrt{3} x$

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

$2 x^{2} + 4 x - y^{2} - 6 y - 23 = 0$

Complete example 2 by evaluating the integral expression

$\int_{0}^{\frac{2 π}{3}} {(\frac{1}{2} + \cos θ)}^{2} d θ - \int_{π}^{\frac{4 π}{3}} {(\frac{1}{2} + \cos θ)}^{2} d θ$

Each of the integrals or integral expressions in Exercises $38 - 44$ represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.

role="math" localid="1649518287481" $3 \int_{0}^{π / 2} \sin^{2} 3 θ d θ$ .

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

$r = θ$

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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 .
$r = \frac{1}{2} - \sin θ$

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=12-sinθ

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

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Pure Maths

Probability and Statistics

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 .
$r = \frac{1}{2} - \sin θ$