A6w - 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, Mar 13th 1. Convert the following points from Cartesian coordinates to polar coordinates with 0 θ < 2 π . a) ( - 1 , - 3). b) (2 , 1). 2. Convert the following points from polar coordinates to Cartesian coordinates. a) (3 , 2 π/ 3). b) (2 , - 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 = cos 3
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Unformatted text preview: . 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) z = p x 2 + y 2 . b) z 2 = x 2-y 2 . 5. Convert the following equations in Cartesian coordinates to spherical coordinates. a) z = p x 2 + y 2 . b) z 2 = x 2-y 2 . c) ( x 2 + y 2 + z 2 ) 2 = 2 z ( x 2 + y 2 )....
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