Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced () V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C and 6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2'6 C1 (a) the perimeter of R C2 (b) the area of R

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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C.
Let C1 be the circle r = cos 0 and C2 be the petal of the rose r =
V3 cos(20) that is to the right of the -axis,
as
shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the
curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced
V3 T
from right to left as the value of 0 increases. Also, the point with polar coordinates
is on both C1 and
2 '6
C2.
Set up, but do not evaluate, the integral or sum of inte-
grals for the following:
V3 T
2 '6
C1
(a) the perimeter of R
C2
(b) the area of R
Transcribed Image Text:Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C1 and 2 '6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2 '6 C1 (a) the perimeter of R C2 (b) the area of R
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