quiz-2-100917 - t 2 3 , 4 t i at the point t = 9. 4. (4...

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MATH 301–01 Quiz #2 1. (5 points) Classify the surface described by the equation x 2 + 4 y 2 - 3 z 2 - 6 x + 8 y + 12 z = 10; if applicable, identify its center and orientation. 2. (6 points) Find the arclength of the curve described by r ( t ) = ( t 2 - 2 t ) i + 8 3 t 3 / 2 j between the values t = 0 and t = 4. 3. (5 points) Find an equation (in either parametric or symmetric form) for the line tangent to the curve described by r ( t ) = h 6 t,
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Unformatted text preview: t 2 3 , 4 t i at the point t = 9. 4. (4 points) Find a vector function which represents the curve of intersection of the surfaces z = 4 x 2 + y 2 and y = x 2 . 5. (2 point bonus) Prove on the back of the page that the binormal B ( t ) is given by r ( t ) r 00 ( t ) | r ( t ) r 00 ( t ) | . Friday, September 17, 2010...
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This note was uploaded on 01/12/2012 for the course MATH 301 taught by Professor Staff during the Fall '08 term at University of Louisville.

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