3 2 3 3 4 8 99 77 6 6 11 find the

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Unformatted text preview: θ z z z z j j ‡j ‡j 2 2 2 2 { { k2 k2 π 3 2π 3 π è!!!! i i yy zz j j zz − i 3 π − 0y + J π − 0N − j π − 1 j − 3 z j j j zz z j j j zz j6 zz 8j 2 4 { k8 k k {{ r = 3 + 2 sin θ 2π 3 yy zz zz zz zz zz {{ and outside 5 4 3 2 1 5 4 3 2 1 0 1 2 3 4 5 0 1 2 3 4 5 2 = 3 + 2 sin θ A = 2‡ 3π 2 → sin θ = 3π 2 −1 2 1 2 → θ= 7π 6 , 11 π 6 , 3π 2 3π 2 7π 6 1 2 7π 6 3π 3π 7πy z − @11 θ − 12 cos θ − sin 2 θ D 72π j − = 4i z j 6 2 6{ k H2L2 dθ − 2 ‡ 7π 6 H3 + 2 sin θL2 dθ = @4 θ D è!!!! 3 2 è!!!! 3 = 3 − 4π = 8 π − 99 π + 77 π 6 +6 11. Find the length of the curve r = 1 + cos θ 2 è!!!! 3− = 11 7π 3 2 j − Ai j k 1 1 zz j j...
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This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at University of California, Berkeley.

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