2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the area of A, B, and C pictured below. (d) C is the area inside r = 4 - 2cosθ but outside r = 2 + 2cosθ. Find the area of C. (Hint: The inner and outer polar curves switch for C in comparison to A.)
2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the area of A, B, and C pictured below. (d) C is the area inside r = 4 - 2cosθ but outside r = 2 + 2cosθ. Find the area of C. (Hint: The inner and outer polar curves switch for C in comparison to A.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 90E
Question
2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the area
of A, B, and C pictured below.
(d) C is the area inside r = 4 - 2cosθ but outside r = 2 + 2cosθ. Find the area of C.
(Hint: The inner and outer polar curves switch for C in comparison to A.)
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