# nt4 - function-→ r ( t ) = < t, t 2-3 t, 2 t 2 > ....

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MATH 23 Homework 4 due February 12, 2010 Non-Text Problems: 4-1. For the curve given by -→ r ( t ) = < 4 cos t, 9 sin t, t > ﬁnd the curvature. For full credit, use the formula of Theorem 10 (“the cross product” formula); or make no mistakes in the calculation using formula 9. 4-2. (a) Find the velocity, acceleration and speed of a particle with position
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Unformatted text preview: function-→ r ( t ) = < t, t 2-3 t, 2 t 2 > . (b) What can you say about maximum and minimum values of the speed of this particle? 4-3. Find the tangential and normal components of the acceleration vector for a particle with position-→ r ( t ) = < 3 t, t 3 , t > . See the syllabus for the Text Problems to turn in....
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## This note was uploaded on 03/26/2010 for the course MATH 23 taught by Professor Yukich during the Spring '06 term at Lehigh University .

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