# A6 - r = cos 2 θ b Inside both r = 1 1 sin θ and r = 1-1...

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Math 237 Assignment 6 Due: Friday, Nov 7th 1. Convert the following points from Cartesian coordinates to polar coordinates with 0 θ < 2 π . a) ( - 2 , 2) b) ( 3 , - 1) 2. Convert the following points from polar coordinates to Cartesian coordinates. a) (2 ,π/ 3) b) (3 , 5 π/ 6) 3. For each of the indicated regions in polar coordinates, sketch the region and ﬁnd the area. a) The region enclosed by
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Unformatted text preview: r = cos 2 θ . b) Inside both r = 1 + 1 sin θ and r = 1-1 sin θ . 4. Convert the following equations in Cartesian coordinates to cylindrical coordinates. a) z = p 2 x 2 + 2 y 2 . b) x = y . 5. Convert the following equations in Cartesian coordinates to spherical coordinates. a) x 2 + y 2 = 4. b) x 2 + y 2 + z 2 = 2 x . c) z =-p x 2 + y 2 ....
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## This note was uploaded on 05/02/2010 for the course MATH 237 taught by Professor Wolczuk during the Fall '08 term at Waterloo.

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