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I. Let C be the petal of the rose r 3sin(20) that is traced from 00 to 0= and C be the petal of

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I. Let C be the petal of the rose r 3sin(20) that is traced from 00 to 0= and C be the petal of the rose r = 3 sin(40) that is traced from 0-0 to 0=, as shown in the figure below. C T R P C2 1. Let P be the point of intersection of C1 and C2 that is not the pole. Using the identity sin(2a) 2 sin(a) cos(a), find polar coordinates (7,0) for the point P where r > 0 and 0 [0,2]. 2. Let R be the region that is inside both C1 and C2. Set up, but do not evaluate, the integral or sum of integrals for the following: a. the perimeter of R b. the area of R

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