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Chapter 9: Q. 3 (page 746)

How can the graph of an equation $r = f (θ)$ in the $θ - r$ -plane be used to provide information about the graph of the same equation in the polar plane?

Short Answer

Expert verified

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Step by step solution

Step 1. Given information

The equation in the polar form is:

$r = f (θ)$

Step 2.

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Most popular questions from this chapter

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

$r = \frac{α}{1 + \sin θ}$

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral is $\frac{1}{2} \int_{0}^{2 π} {(1 + \sin θ)}^{2} d θ$

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.

$directrix y = 0, focus (0, 1)$

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

$foci (3, \pm 5), major axis 12$

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How can the graph of an equation $r = f (θ)$ in the $θ - r$ -plane be used to provide information about the graph of the same equation in the polar plane?

Short Answer

Step by step solution

Step 1. Given information

Step 2.

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How can the graph of an equation r=f(θ) in the θ-r-plane be used to provide information about the graph of the same equation in the polar plane?

Short Answer

Step by step solution

Step 1. Given information

Step 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Calculus

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

How can the graph of an equation $r = f (θ)$ in the $θ - r$ -plane be used to provide information about the graph of the same equation in the polar plane?