Let C, D and E be the polar curies below: Cir=f(0) = 3-3 Cos 0 Er = g(0) = 12/250c4 D:r=3 (1.) Show that the curve Co:r = f(0) + g(0) is synimetric with respect to the polar axis (2) Find a Cartesian, equation of the line langent to C at the point where 8: 1/1. (3.) without referring to their graphs, Find the intersection points of C and D, and those of D and E. of (4.) Set up the (sum of) integral (s) equal to the perimeter of the region shaded above. (Hint: You may just add a positive constant for the length one number.)

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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Let C, D and E be the polar curies below:
Cir=f(0) = 3-3 cos 0
E¹r = g(0) = 1/250c4
SOC
€
D:r=3
(1.) Show that the curve Co:r = f(8) + g(8) is synimetric with respect to
the polar axis
(2) Find a Cartesian, equation of the line tangent to C at the point where f
€ 8 ² = 1 / ².
2-
(3.) without referring to their graphs, Find the intersection points of C and D,
and those of D and E.
(4.) Set up the (sum of) integral (s) equal to the perimeter of the region
shaded above. (Hint: You may just add a positive constant for the length of
one number.)
Transcribed Image Text:Let C, D and E be the polar curies below: Cir=f(0) = 3-3 cos 0 E¹r = g(0) = 1/250c4 SOC € D:r=3 (1.) Show that the curve Co:r = f(8) + g(8) is synimetric with respect to the polar axis (2) Find a Cartesian, equation of the line tangent to C at the point where f € 8 ² = 1 / ². 2- (3.) without referring to their graphs, Find the intersection points of C and D, and those of D and E. (4.) Set up the (sum of) integral (s) equal to the perimeter of the region shaded above. (Hint: You may just add a positive constant for the length of one number.)
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