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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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