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notes001 (39) - answer is not su cient.) Solution: The...

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August 25, 2010 NAME____________________________ An equation for the sphere centered at the point ( 6 ; 6 ; 0) with radius 2 is a) x 2 + y 2 + z 2 12 x + 12 y = 68 b) x 2 + y 2 + z 2 12 x + 12 y = 70 c) x 2 + y 2 + z 2 + 12 x 12 y = 70 d) x 2 + y 2 + 12 x 12 y = 68 e) none of the above Circle the correct choice above and show how you arrive at your answer. In order to receive credit, you must show your work. (Just circling the right
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Unformatted text preview: answer is not su cient.) Solution: The correct choice is e (none of the above). The sphere in question has equation ( x + 6) 2 + ( y & 6) 2 + ( z & 0) 2 = 2 2 which, when expanded, becomes x 2 + 12 x + 72 + y 2 & 12 y + z 2 = 4 or x 2 + y 2 + z 2 + 12 x & 12 y = & 68 . 1...
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This note was uploaded on 02/05/2012 for the course MATH 2203 taught by Professor Ellermeyer during the Fall '10 term at FIU.

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