PS6_answers - Math 237 A1. a) r = 8, = 4 . 3 3 . 4 Problem...

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Math 237 Problem Set 6 Answers A1. a) r = 8, θ = 3 π 4 . b) r = 2, θ = - π 6 . c) r = 2, θ = 4 π 3 . d) r = 5, θ = arctan(1 / 2). A2. a) ( x, y ) = (1 , 3). b) ( x, y ) = ( - 3 3 / 2 , 3 / 2). c) ( x, y ) = ( - 3 / 2 , 3 3 / 2). d) ( x, y ) = ( 3 , - 1). A3. a) Area= π 4 . b) Area= π 4 . B1. a) Area= 3 π 2 - 4. b) Area= π 8 + 3 3 32 . B2. a) z = 2 r , z 0 b) θ = π 4 and θ = 5 π 4 . c) z 2 = r 2 cos 2 θ , - π 4 θ π 4 , 3
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