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Unformatted text preview: x9 2 = cos t and y +4 3 = sin t , or in other words, r ( t ) = h 2 cos t + 9 , 3 sin t4 , i is a parametrization of the translated ellipse. Note: Also see Section 13.2 Example 3 in your text for a dierent viewpoint. 13.2 # 28 (6 points): Evaluate d dt r ( g ( t )) using the chain rule, where r ( t ) = h 4 sin 2 t, 6 cos 2 t i and g ( t ) = t 2 . Solution : Since r ( t ) = h 8 cos 2 t,12 sin 2 t i , then d dt r ( g ( t )) = g ( t ) r ( g ( t )) = 2 t h 8 cos 2 t 2 ,12 sin 2 t 2 i = h 16 t cos 2 t 2 ,24 t sin 2 t 2 i ....
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This note was uploaded on 03/28/2011 for the course MATH 20C taught by Professor Helton during the Winter '08 term at UCSD.
 Winter '08
 Helton
 Math

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