Limaon loops The limaon r = b + a cos u has an inner loop
Chapter 13, Problem 67(choose chapter or problem)
Limaon loops The limaon r = b + a cos u has an inner loop if b 6 a and no inner loop if b 7 a. y x y _1 3 1 3 x _2 2 r _ 2 _ cos _ r _ 1 _ 2 cos _ _1 1 a. Find the area of the region bounded by the limaon r = 2 + cos u. b. Find the area of the region outside the inner loop and inside the outer loop of the limaon r = 1 + 2 cos u. c. Find the area of the region inside the inner loop of the limaon r = 1 + 2 cos u.
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