√2 2. Consider the polar curves C₁:r = 4 + ³√² cos 0 and C₂: r = 2 - ² cos € as shown in the figure 2 2 on the right. The curves C₁ and C₂ are both symmetric with respect to the polar axis. Each of these curves is traced counterclockwise as the value of for each of these curves r > 0 when 0 € [0, 2π]. increases on the interval [0, 2π]. Also, a. Let P be the point of intersection of and C₂ in the second quadrant. Find the polar coordinates (r, 0) for the point P where r > 0 when 0 € [0, 2π]. b. 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: The area of R The perimeter of R
√2 2. Consider the polar curves C₁:r = 4 + ³√² cos 0 and C₂: r = 2 - ² cos € as shown in the figure 2 2 on the right. The curves C₁ and C₂ are both symmetric with respect to the polar axis. Each of these curves is traced counterclockwise as the value of for each of these curves r > 0 when 0 € [0, 2π]. increases on the interval [0, 2π]. Also, a. Let P be the point of intersection of and C₂ in the second quadrant. Find the polar coordinates (r, 0) for the point P where r > 0 when 0 € [0, 2π]. b. 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: The area of R 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 10DE
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