Consider the circle C1 : r = 1 and the roses C2 : r = cos...
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Consider the circle C1 : r = 1 and the roses C2 : r = cos 20 and C3 :r = 2 cos 20, each of which is symmetric with respect to the polar axis, the -axis, and the origin, as shown on the image. 2 0 1. Find polar coordinates (r, 0) for the intersection A of C1 and C3, where r, 8 > 0. 2. Set-up (do not evaluate) a sum of three definite integrals that give the perimeter of the yellow- shaded region inside both C1 and C3 but outside C₂. 3. Find the area of the unshaded region inside C; but outside C₁. KIN Consider the circle C1 : r = 1 and the roses C2 : r = cos 20 and C3 :r = 2 cos 20, each of which is symmetric with respect to the polar axis, the -axis, and the origin, as shown on the image. 2 0 1. Find polar coordinates (r, 0) for the intersection A of C1 and C3, where r, 8 > 0. 2. Set-up (do not evaluate) a sum of three definite integrals that give the perimeter of the yellow- shaded region inside both C1 and C3 but outside C₂. 3. Find the area of the unshaded region inside C; but outside C₁. KIN
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Solution i Given i Circle G r1 Roses i C rcos 20 C3 T2cos 20 1 Intersection of Cl ... View the full answer
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