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Consider the polar curves C: R = 2 – cos e and C2:r = 2+2 cos 0, 6 € [0,2) • Show that both C, and C, are symmetric with respect to the polar axis and find the polar coordinates of the points of intersection of C, and C2 • Find the slope of the line tangent to C, at the point where e = Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S (shaded in the figure below) in between C, and C_2|

Consider the polar curves C: R = 2 – cos e and C2:r = 2+2 cos 0, 6 € [0,2) • Show that both C, and C, are symmetric with respect to the polar axis and find the polar coordinates of the points of intersection of C, and C2 • Find the slope of the line tangent to C, at the point where e = Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S (shaded in the figure below) in between C, and C_2|

Algebra & Trigonometry with Analytic Geometry
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 31E
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Consider the polar curves C,:R = 2 - cos e and C2:r = 2+2 cos 0, 0 € [0,27) • Show that both C, and C, are symmetric with respect to the polar axis and find the polar coordinates of the points of intersection of C, and C, Find the slope of the line tangent to C, at the point where e = Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S (shaded in the figure below) in between C, and C_2 C:r=2- cos0 C2 :r = 2+2 cos 0 0.
Transcribed Image Text:Consider the polar curves C,:R = 2 - cos e and C2:r = 2+2 cos 0, 0 € [0,27) • Show that both C, and C, are symmetric with respect to the polar axis and find the polar coordinates of the points of intersection of C, and C, Find the slope of the line tangent to C, at the point where e = Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S (shaded in the figure below) in between C, and C_2 C:r=2- cos0 C2 :r = 2+2 cos 0 0.
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