MTH132-Quiz7-Solutions (1)

MTH132-Quiz7-Solutions (1) - Page 1 10/18/2011 Name (Print...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: Nov 24, 2008 Instructor: Dr. W. Wu Instructions: Answer the following questions in the space provided. There is more than adequate space provided to answer each question. The total time allowed for this quiz is 15 minutes. 1. [3 pts each] . Evaluate the integrals. (a) + 1 0 2 ) ( dx x x 1 3 2 3 1 0 1 3 2 1 3 1 ) 3 2 3 1 ( 2 / 3 3 1 0 2 / 3 3 | = + = - + = + x x (b) - + 2 / 2 / 2 ) sin 8 ( π dy y y + = + - - 2 / 0 2 2 / 2 / 2 / 2 / 2 0 16 sin 8 dy y dy y dy y (by Symmetry) 3 3 2 / 0 3 3 2 0 8 3 1 16 3 1 16 | = - = = y 2. Find the derivative of x tdt dx d 0 cos . (a)[2 pts] by evaluating the integral and differentiating the result ) sin( 0 sin ) sin( sin cos | 0 0 x x t tdt x x = - = = x x x dx d x x dx d 2 ) cos( ) cos( ) sin( = = (b)[2 pts] by using FTC part I. 2 / 1 0 2 1 ) cos( )' ( ) cos( cos - = = x x x x tdt dx d x
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Page 2 10/18/2011 (c)[bonus 2 pts] Find
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This note was uploaded on 10/17/2011 for the course MTH 133 taught by Professor Staff during the Fall '08 term at Michigan State University.

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MTH132-Quiz7-Solutions (1) - Page 1 10/18/2011 Name (Print...

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