Homework 12 Polar: Problem 2 The limacon r = 1+ csin(0) has an inner loop when |c| > 1. (a) When c> 1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤0 < 27, at which the loop begins and ends, giving these values in increasing order. Your answer may depend on c. Smaller value of 0: Larger value of 0: (b) When c < -1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤ 0 < 27, at which the loop begins and ends, giving these values in increasing order. Your answer may depend on c. Smaller value of 0: Larger value of 0:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Homework 12 Polar: Problem 2
The limacon r = 1+ csin(0) has an inner loop when |c| > 1.
(a) When c > 1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤ 0 < 2π, at which the loop begins and ends,
giving these values in increasing order. Your answer may depend on c.
Smaller value of 0:
Larger value of 0:
(b) When c < −1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤ 0 < 2π, at which the loop begins and ends,
giving these values in increasing order. Your answer may depend on c.
Smaller value of 0:
Larger value of 0:
Transcribed Image Text:Homework 12 Polar: Problem 2 The limacon r = 1+ csin(0) has an inner loop when |c| > 1. (a) When c > 1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤ 0 < 2π, at which the loop begins and ends, giving these values in increasing order. Your answer may depend on c. Smaller value of 0: Larger value of 0: (b) When c < −1, determine the range of values of that correspond to the inner loop. For your answer, list the values of 0, where 0 ≤ 0 < 2π, at which the loop begins and ends, giving these values in increasing order. Your answer may depend on c. Smaller value of 0: Larger value of 0:
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