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Chapter102005solutions

# i 3 cos m d 1 2 2 3 3 8 12 9 6 4 24 sin

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Unformatted text preview: = ‡ H16 − 16 cos 6 θL dθ H4 sin 3 θL dθ = 2 ‡ 16 sin 3 θ dθ = 32 ‡ i A = 4‡ z j 2 2 { k2 π 6 1 π 6 π 6 π 6 2 2 0 9. = A16 θ − Find the area of the region inside both equations : r = 2 8π z j − 0y − H0 − 0L sin 6 θ E = i z j 3 { k3 0 8 π 6 0 0 0 = 8π 3 è!!!! 3 cos θ and r = − sin θ. 1 0 2 1 0 1 2 1 2 A=‡ π 2 2π 3 1 2 =A = 3 4 θ+ 2 è!!!! I 3 cos θM dθ + ‡ π 1 2 2π 3 3 8 12 π − 9 π + 6 π − 4 π 24 sin 2 θ E π 2π 3 2 +A + 1 4 H− sin θL dθ = 2 10. Find the area of the region that is inside r = 2 è!!!! è!!!! −3 3 − 3 16 θ− 1 8 sin 2 θ E 2 π π 3 = è!!!! iπ 3 i− 3 j j j j j + =j j j j2 8j 2 k k è!!!! 5π 3 − 24 4 2 i 1 + 1 cos 2 θy dθ + 1 i 1 − 1 cos 2 θy d...
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