Consider the polar curves C : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as shown below. 1. The curves intersect at the Cartesian points P(0, 0) and Q(2, 0). Determine the polar form (r, 0) of P and of Q that satisfies the equation of C2 (a) C1 (b) C2 where 0 E [0, 7]. P(0,0) Q(2,0) 2. SET UP the (sum of) definite inte- gral(s) equal to the area of R. 3. SET UP the (sum of) definite inte- gral(s) equal to the perimeter of R.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help me in items 2 and 3

Consider the polar curves C1 : r = 1 + cos 0 and C2 : r = 2 cos 0, and let R be the
shaded region as shown below.
1. The curves intersect at the Cartesian
points P(0, 0) and Q(2,0). Determine
the polar form (r, 0) of P and of Q
that satisfies the equation of
(a) C
(b) C2
where e e (0, "].
P(0,0)
Q(2,0)
2. SET UP the (sum of) definite inte-
gral(s) equal to the area of R.
3. SET UP the (sum of) definite inte-
gral(s) equal to the perimeter of R.
Transcribed Image Text:Consider the polar curves C1 : r = 1 + cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as shown below. 1. The curves intersect at the Cartesian points P(0, 0) and Q(2,0). Determine the polar form (r, 0) of P and of Q that satisfies the equation of (a) C (b) C2 where e e (0, "]. P(0,0) Q(2,0) 2. SET UP the (sum of) definite inte- gral(s) equal to the area of R. 3. SET UP the (sum of) definite inte- gral(s) equal to the perimeter of R.
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