B c d e et 2 t e 2 2et et 4 none of these in problems

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Unformatted text preview: 5 2 55 c. 2 5 d. 10 e. None of these. b. 9. Find the curvature in terms of t for r(t ) = et cos t i + et sin t j a. b. c. d. e. e−t 2 −t e 2 2e−t e−t 4 None of these. In problems 10-14 interpret r (t ) = at time t . Find: 10. 2 2 3/2 3/2 (1 + t ) i + (1 − t ) j + 2 t k as the position of a moving object 3 3 The unit tangent vector 1+ t 1− t a. T(t ) = i+ 2 2 1+ t 1− t b. T(t ) = i− 2 2 1+ t 1− t c. T(t ) = i+ 2 2 1+ t 1− t d. T(t ) = i− 2 2 e. None of these. j+ 2 k 2 2 k 2 2 j+ k 2 2 j+ k 2 j+ 11. The principal normal vector 1− t 1+ t a. N(t ) = i+ j 2 2 b. N(t ) = 2 (1 + t ) 1 − t i − 2 (1 − t ) 1 + t j + 2 1 − t 2 k 1− t 1+...
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This homework help was uploaded on 02/17/2014 for the course MATH 2433 taught by Professor Blecher during the Fall '08 term at University of Houston.

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