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Consider the polar curves C1 :r = 2 – cos 0 and C2 :r = 2+2 cos 0, 0 E [0, 27). (a) Show that both C1 and C2 are symmetric with respect to the polar axis. (b) Find the polar coordinates of the points of intersection of C1 and C2. (c) Find the slope of the line tangent to C, at the point where 0 = 5. (d) 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 C1 and C2. C1 :r = 2 – cos 0 C2 :r=2+2cos 0 -3 -2 2 3 -2

Consider the polar curves C1 :r = 2 – cos 0 and C2 :r = 2+2 cos 0, 0 E [0, 27). (a) Show that both C1 and C2 are symmetric with respect to the polar axis. (b) Find the polar coordinates of the points of intersection of C1 and C2. (c) Find the slope of the line tangent to C, at the point where 0 = 5. (d) 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 C1 and C2. C1 :r = 2 – cos 0 C2 :r=2+2cos 0 -3 -2 2 3 -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 32E
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Consider the polar curves C1 : r = 2 – cos 0 and C2 : r = 2+ 2 cos 0, 0 E [0, 27). (a) Show that both C1 and C2 are symmetric with respect to the polar axis. (b) Find the polar coordinates of the points of intersection of Cı and C2. (c) Find the slope of the line tangent to C2 at the point where 0 = 5. (d) 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 C1 and C2. C1 :r = 2 – cos 0 C2 :r = 2+2 cos 0 -3 -1 2 3. 4 -2
Transcribed Image Text:Consider the polar curves C1 : r = 2 – cos 0 and C2 : r = 2+ 2 cos 0, 0 E [0, 27). (a) Show that both C1 and C2 are symmetric with respect to the polar axis. (b) Find the polar coordinates of the points of intersection of Cı and C2. (c) Find the slope of the line tangent to C2 at the point where 0 = 5. (d) 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 C1 and C2. C1 :r = 2 – cos 0 C2 :r = 2+2 cos 0 -3 -1 2 3. 4 -2
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