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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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BuyFindarrow_forward

Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Think About It Use a graphing utility to graph the polar equation r = 6 [ 1 + cos ( θ ϕ ) ] for (a) ϕ = 0 , and (c) ϕ = π / 4 , Use the graphs to describe the effect of the angle ϕ . Write the equation as a function of sin θ for part (c).

(a)

To determine

To Graph:

The graph the polar equation r=6[1+cos(θφ)] by graphing utility when ϕ=0

Calculus, Chapter 10.4, Problem 98E , additional homework tip  1

Explanation

Given: The given polar equation is r=6[1+cos(θφ)]

When ϕ=0 equation becomes

r=6[1+cos(θ0)]=r=6(1+Cosθ)

r=6(1+cos

(b)

To determine

To Graph:

The graph the polar equation r=6[1+cos(θφ)] by graphing utility when ϕ=π4

(c)

To determine

To Graph:

The graph the polar equation r=6[1+cos(θφ)] by graphing utility when ϕ=π2

Calculus, Chapter 10.4, Problem 98E , additional homework tip  2

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