quiz2 - #1: Show that the curve x = t cos t , y = t sin t ,...

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Math 233 In-Class Quiz #2 Each question is worth 5 points. Partial credit is important—try all problems. This quiz is open book and open notes. You may also use graphical and computational tools to help you identify answers, but you must show full analytical work to receive full credit.
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Unformatted text preview: #1: Show that the curve x = t cos t , y = t sin t , z = t lies on the cone z 2 = x 2 + y 2 . #2: If r ( t ) 6 = , use | r | 2 = r r to show that d dt | r ( t ) | = r ( t ) r ( t ) | r ( t ) | . #3: Find the curvature of y = 2 x-x 2 ....
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This note was uploaded on 09/17/2011 for the course MATH 233 taught by Professor Mela during the Spring '06 term at UNC.

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