Ehw2_key

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Unformatted text preview: t i− j 2 2 1+ t 1− t 2 d. N(t ) = i− j+ k 2 2 2 e. None of these. c. N(t ) = 12. The curvature 2 a. κ = 8 1− t2 2 b. κ = 4 1− t2 2 c. κ = 2 1− t2 2 d. κ = 1− t2 e. None of these. 13. The tangential component of acceleration 2 a. aT = 1− t2 b. aT = 0 c. aT = 2 2 d. aT = 2 1− t2 e. None of these. 14. The normal component of acceleration a. aN = 0 b. aN = 2 c. aN = d. aN = 2 1− t2 2 2 1− t2 e. None of these. In problems 15-20 interpret r (t ) = 4cos(t )i + 3tj − 4sin(t )k as the position of a moving object at time t. Find: 15. The unit tangent vector 16. The principal normal vector 17. The binormal vector 18. The curvature 4 a. κ = 5 b. κ = 4 4 c...
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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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