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Consider the circle C : r = 4, and the limaçon C2 :r = 3 – 2sin0. Note that both Cị and C2 are symmetric about the -axis. Let A and B be the points of intersection of C1 and C2. Let R1 be the region within C, but outside C2, and R2 be the region within both C1 and C2, as shown on the right. 1. Find polar coordinates (r,0) for A and B, where r> 0 and 0 E [0, 2=]. R2 B 2. Set up (and do not evaluate) the definite integral/s that will give the following. a. perimeter of RỊ b. aгea of Rz- IN

Consider the circle C : r = 4, and the limaçon C2 :r = 3 – 2sin0. Note that both Cị and C2 are symmetric about the -axis. Let A and B be the points of intersection of C1 and C2. Let R1 be the region within C, but outside C2, and R2 be the region within both C1 and C2, as shown on the right. 1. Find polar coordinates (r,0) for A and B, where r> 0 and 0 E [0, 2=]. R2 B 2. Set up (and do not evaluate) the definite integral/s that will give the following. a. perimeter of RỊ b. aгea of Rz- IN

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 32E
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Consider the circle C :r = 4, and the limaçon C2 :r = 3 – 2 sin 0. Note that both C1 and C2 are symmetric about the -axis. Let A and B be the points of intersection of C1 and C2. Let R1 be the region within C1 but outside C2, and R2 be the region within both C1 and C2, as shown on the right. R1 1. Find polar coordinates (r,0) for A and B, where r> 0 and 0 € [0, 27). R2 2. Set up (and do not evaluate) the definite integral/s that will give the following. a. perimeter of R1 b. area of R2.
Transcribed Image Text:Consider the circle C :r = 4, and the limaçon C2 :r = 3 – 2 sin 0. Note that both C1 and C2 are symmetric about the -axis. Let A and B be the points of intersection of C1 and C2. Let R1 be the region within C1 but outside C2, and R2 be the region within both C1 and C2, as shown on the right. R1 1. Find polar coordinates (r,0) for A and B, where r> 0 and 0 € [0, 27). R2 2. Set up (and do not evaluate) the definite integral/s that will give the following. a. perimeter of R1 b. area of R2.
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