Q6Sols - QUIZ #6 ­ SOLUTIONS 1) 2) 11 Find the unit...

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Unformatted text preview: QUIZ #6 ­ SOLUTIONS 1) 2) 11 Find the unit tangent vector for r ( t ) = t 3 , t 2 , t 32 t 2 , t ,1 t 2 , t ,1 r ' (t ) T (t ) = =2 = r ' (t ) t , t ,1 t4 + t2 + 1 Find the length of the curve 3 r ( t ) = 2t 2 , cos 2t , sin 2t , 0 ≤ t ≤ 1 1 r ' ( t ) = 3t 2 , −2 sin 2t , 2 cos 2t r ' ( t ) = 9t + 4 sin 2 2t + 4 cos 2 2t = 9t + 4 1 L= ( ∫ 0 13 1 12 1 2 32 ⎤ 9t + 4 dt = ∫ u du = ⋅ u ⎥ = 9 93 ⎦4 4 13 ) 3 2 13 2 − 8 ≈ 2.879 27 ...
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This note was uploaded on 09/06/2011 for the course MATH 1c taught by Professor Garrison during the Spring '11 term at DeAnza College.

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