MTH132-Test4 - ) ( x f over ] 5 , [ 5 [12 pts] . Find the...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: Dec 1, 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 50 minutes. 1 [5 pts each] . Find the derivatives. (a) = x dt t y 0 2 ) (sin (b) dt t t y x + = 0 2 2 ) 1 ( 2. [6 pts each] . Find indefinite integrals. (a) + dx x x 2 2 1 4
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Page 2 10/18/2011 (b) - dx x x x 2 3. [7 pts each]. Evaluate the definite integrals. (a) - 2 0 3 ) 1 ( dx x x (b) - 2 / 2 / 3 ) cos sin 2 ( π dx x x
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Page 3 10/18/2011 4. [12 pts] . Let 3 4 ) ( 2 + - = x x x f , 5 0 x . (a) Compute 5 0 ) ( dx x f (b) Find the total area enclosed by x-axis and the graph of
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Unformatted text preview: ) ( x f over ] 5 , [ 5 [12 pts] . Find the area of the region enclosed by the curve 2 y x = and the line x y = . Page 4 10/18/2011 5. [10 pts] Set up a Riemann sum approximation to the integral + 3 1 2 ) 1 ( dx x by partitioning the interval ] 3 , 1 [ into 4 subintervals of equal length and using the left endpoint of each subinterval. (a) Evaluate this sum. (b). Sketch the graph of 1 2 + = x y over ] 3 , 1 [ . Sketch (shade) the rectangles associated to this Riemann Sum....
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MTH132-Test4 - ) ( x f over ] 5 , [ 5 [12 pts] . Find the...

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