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Chapter 9: Q. 20 (page 775)

Graphs of polar functions: Use polar coordinates to graph each of the following functions.
$r = 3 - 2 \cos θ$

Short Answer

Expert verified

The graph is

Step by step solution

Given information.

The given equation is,

$r = 3 - 2 \cos θ$

Graph.

Polar equation:

$r = 3 - 2 \cos θ$

The graph of the above equation is,

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Most popular questions from this chapter

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

$r = \sin 4 θ$

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

$directrix y = y_{0}, focus (x_{1}, y_{1}), where y_{0} \neq y_{1}$

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

$y = \sqrt{3} x$

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 limacon $r = 2 + \cos θ$

Three noncollinear points determine a unique circle. Do three noncollinear points determine a unique ellipse? If so, explain why. If not, provide three noncollinear points that are on two distinct ellipses.

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Graphs of polar functions: Use polar coordinates to graph each of the following functions.
$r = 3 - 2 \cos θ$

Short Answer

Step by step solution

Given information.

Graph.

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Graphs of polar functions: Use polar coordinates to graph each of the following functions.r=3−2cosθ

Short Answer

Step by step solution

Given information.

Graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Geometry

Logic and Functions

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graphs of polar functions: Use polar coordinates to graph each of the following functions.
$r = 3 - 2 \cos θ$