Consider the polar curves C : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as shown below. 1. The curves intersect at the Cartesian points P(0, 0) and Q(2, 0). Determine the polar form (r, 0) of P and of Q that satisfies the equation of C2 (a) C1 (b) C2 where 0 E [0, 7]. P(0,0) Q(2,0) 2. SET UP the (sum of) definite inte- gral(s) equal to the area of R. 3. SET UP the (sum of) definite inte- gral(s) equal to the perimeter of R.
Consider the polar curves C : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as shown below. 1. The curves intersect at the Cartesian points P(0, 0) and Q(2, 0). Determine the polar form (r, 0) of P and of Q that satisfies the equation of C2 (a) C1 (b) C2 where 0 E [0, 7]. P(0,0) Q(2,0) 2. SET UP the (sum of) definite inte- gral(s) equal to the area of R. 3. SET UP the (sum of) definite inte- gral(s) equal to the perimeter of R.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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