quiz6-10.40-soln. - MATH 101-B Fall 2004 Quiz 6...

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Unformatted text preview: MATH 101-B Fall 2004 Quiz 6 (10:40-12:30 Group) November 12, 2004 Time: 10 minutes Name: Student No: Follow the directions. No work Problem 1 (5 pts.) Find df dx No credit!! , do not simplify your answer. 2 sin 2 3x cos x 2 fx Solution. df dx 1 2 1 sin 2 3x 2 cos x 2 2 1 sin 2 3x 2 cos x 2 2 2 cos 2 3x cos x 2 2 sin 2 Problem 2 (5 pts.) If g 2 3x 2 1 2 d sin 2 3x 2 cos x 2 dx d 2 3x 2 cos x 2 dx 2 cos 2 3x cos x 2 2 2 ln 2 6x2 3x cos x 2 cos x 2 3 and g 2 2 3x 2x sin x 2 4, find f 2 for the function 2 e gx . x fx Solution. fx xe gx 2 g2 2 2g x g x x2 e gx 2 So, f2 2g 2 g 2 e g 2 22 2e 9 2 12 e 9 49e 9 . 2 4 2 2e 2 ...
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