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notes001 (76)

notes001 (76) - answer is not su¢ cient Solution The...

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January 26, 2010 NAME____________________________ An equation for the sphere centered at the point ( 2 ; 3 ; 1) with radius 5 is a) x 2 + y 2 + z 2 + 4 x 6 y + 2 z = 14 b) x 2 + y 2 + z 2 4 x + 6 y 2 z = 17 c) x 2 + y 2 + z 2 4 x + 6 y 2 z = 11 d) x 2 + y 2 + z 2 + 4 x 6 y + 2 z = 11 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 sphere described has equation ( x + 2) 2 + ( y & 3) 2 + ( z + 1) 2 = 5 2 . When expanded this becomes 4 x & 6 y + 2 z + x 2 + y 2 + z 2 + 14 = 25 or x 2 + y 2 + z 2 + 4 x & 6 y + 2 z = 11 so the correct choice is D. 1...
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