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Unformatted text preview: √4 = 3 2 ± 2 i. (2) (a) Please sketch the area enclosed by the polar curve r ( θ ) =  cos θ  . (3 points)21.510.5 0.5 1 1.5 21.510.5 0.5 1 (b) Please compute the area of the ‘ﬂower’ described by the polar curve r ( θ ) = 6cos(9 θ ). (3 points)107.552.5 2.5 5 7.5 1052.5 2.5 5 We use the formula for the area enclosed by a polar curve: 1 2 Z 2 π (6cos(9 θ )) 2 dθ = 1 2 Z 2 π 3612 cos(9 θ ) + cos 2 (9 θ ) dθ = 1 2 ± 36 · 2 π12 9 sin(9 θ )  2 π + 1 2 Z 2 π 1 + cos(18 θ ) dθ ² = 1 2 ± 72 π + 1 2 · 2 π + 1 36 sin(18 θ )  2 π ² = 73 2 π 2 Good Luck! 3...
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This note was uploaded on 04/29/2008 for the course MATH 20B taught by Professor Justin during the Fall '08 term at UCSD.
 Fall '08
 Justin
 Math

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