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a6 - θ b Inside both r = 2 2 cos θ and r = 2-2 cos θ 4...

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Math 237 Assignment 6 Due: Friday, July 4th 1. Convert the following points from Cartesian coordinates to polar coordinates with 0 θ < 2 π . a) (1 , - 1) b) ( - 1 , 3) 2. Convert the following points from polar coordinates to Cartesian coordinates. a) (2 , π/ 4) b) (6 , - π/ 6) 3. For each of the indicated regions in polar coordinates, sketch the region and find the area. a) The region enclosed by r
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Unformatted text preview: θ . b) Inside both r = 2 + 2 cos θ and r = 2-2 cos θ . 4. Convert the following equations in Cartesian coordinates to cylindrical coordinates. a) x 2 + y 2 = 1 + z 2 . b) x 2 + y 2 + z 2 = 4. 5. Convert the following equations in Cartesian coordinates to spherical coordinates. a) 3 z = p x 2 + y 2 . b) x 2 + y 2 = 1 + z 2 . c) y = x ....
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