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Midterm 2009-Pink Version

# Midterm 2009-Pink Version - Calculus II Midterm 1 February...

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Calculus II Midterm 1 February, 2009 2 1. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a) Consider the integral 1 0 3 dx e x . If using the midpoint rule to approximate this integral, the error is approximated by 2 3 24 ) ( n a b K E m with K x f ) ( ) 2 ( . Find the value of K . [Note: Just find K ; you do NOT have to approximate the resulting error] b) Evaluate π 0 2 ) 2 ( cos dx x . c) Evaluate dx x x x 4 4 2 2 .

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Calculus II Midterm 1 February, 2009 3 2. (8 marks) Evaluate xdx x 3 7 sin cos
Calculus II Midterm 1 February, 2009 4 3. (8 marks) Evaluate 1 3 2 dy e y y

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Calculus II Midterm 1 February, 2009 5 4. (8 marks) Evaluate dx x x ) arctan( 1 2 [Note: This one is a lot of work…do it after you’ve tried everything else on the test]
Calculus II Midterm 1 February, 2009 6 5. (2 marks each; total 8 marks) Answer each question in the space provided. You do NOT have to show your work for this question, but you may do so if you wish (e.g. for

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Midterm 2009-Pink Version - Calculus II Midterm 1 February...

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