Consider the polar curves C₁: r=1+ cos@ and C₂: r=2cos, and let R be the shaded region as shown below. (a) The curves intersect at the Cartesian points P(0,0) and Q(2,0). Determine the polar form (r.) of P and of Q that satisfies the equation of i. C₁ ii. C₂ where @ € (0.). P(0,0) Q(2,0) (b) SET UP the (sum of) definite integral (s) equal to the area of R. (e) SET UP the (sum of) definite integral (s) equal to the perimeter of R.

Consider the polar curves C₁: r=1+ cos@ and C₂: r=2cos, and let R be the shaded region as shown below. (a) The curves intersect at the Cartesian points P(0,0) and Q(2,0). Determine the polar form (r.) of P and of Q that satisfies the equation of i. C₁ ii. C₂ where @ € (0.). P(0,0) Q(2,0) (b) SET UP the (sum of) definite integral (s) equal to the area of R. (e) SET UP the (sum of) definite integral (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

Section11.4: Plane Curves And Parametric Equations

Problem 34E

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