Midterm 2008

Midterm 2008 - 1. (3 marks each; total 9 marks) Answer each...

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1. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a) Evaluate the following integral. - 0 2 dx e x b) Approximate 2 0 2 dx x using Simpson’s rule with n = 4. c) Evaluate + dx x x 1 2 2
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Calculus II Midterm 1 February, 2008 2. (8 marks) Evaluate - + - + dx x x x x ) 2 )( 6 )( 3 ( 3 2 2
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Calculus II Midterm 1 February, 2008 3. (8 marks) Consider the integral 3 1 2 1 dx x . If we want to approximate this numerically and be accurate to within 0.0001, then a) How large should we take n if we are using Trapezoid rule? b) How large should we take n if we are using Simpson’s rule? Hint: The error formulas are as follows: Trapezoid: 2 3 12 ) ( n a b K E T - with K x f ) ( ' ' Simpson’s: 4 5 180 ) ( n a b K E S - with ( 29 K x f ) ( 4 . 3
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Calculus II Midterm 1 February, 2008 4. (8 marks) Evaluate dx x x 2 sin ) ln(tan [Note: This one is a lot of work…do it after you’ve tried everything else on the test] 4
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Midterm 2008 - 1. (3 marks each; total 9 marks) Answer each...

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