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.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter85: Hexadecimal Numeration System
Section: Chapter Questions
Problem 2A
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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