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Unformatted text preview: , 4 ,8). 5. Find the length of the curve r ( t ) = 2ti + e t j + et k , 0 t 1. 6. Find the velocity vector v ( t ) of a particle that has acceleration a ( t ) = 4 ti + 6 tj + k,v (0) = 0. 7. Consider the curve r ( t ) = t 2 i + tk. a. Find the curvature of the curve at the point (4 , , 2). b. Find the point (in xyz coordinates) where the curvature is largest. 8. Sketch the region bounded by the surfaces z = x 2 + y 2 and x 2 + y 2 = 1. Describe both surfaces using cylindrical coordinates. 1...
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 Spring '06
 YUKICH
 Math

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