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Unformatted text preview: Math 213  Quiz 4
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d 1 r(t) = r(t) r (t). dt r(t) 1. If r(t) = 0 show that By the DotProduct Rule, d d (r(t)2 ) = (r(t) r(t)) = r (t) r(t) + r(t) r (t) = 2(r (t) r(t)). dt dt On the other hand, by the Chain Rule, d d (r(t)2 ) = 2r(t) r(t). dt dt Therefore, d 2(r (t) r(t)) 1 r(t) = = r(t) r (t). dt 2r(t) r(t) as claimed. ...
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This note was uploaded on 05/09/2008 for the course MATH 2130 taught by Professor Dorais during the Spring '08 term at Cornell University (Engineering School).
 Spring '08
 DORAIS
 Calculus, Chain Rule, Product Rule, The Chain Rule

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