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# sample2 - SAMPLE Math 16C Sec 2(Malkin Mid-term exam 2 Fri...

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SAMPLE Math 16C Sec 2 (Malkin) Name: Mid-term exam 2 Student ID: Fri May 30th 2008 Signature: DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO! Write your name, student ID, and signature NOW! NO NOTES, CALCULATORS, OR BOOKS ARE ALLOWED. NO ASSISTANCE FROM CLASSMATES IS ALLOWED. Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. Be organized and neat, and use notation appropriately. You will be graded on the proper use of derivative and integral notation. Please write legibly!! # Student’s Score Max. Score 1 7 2 10 3 15 4 7 5 4 6 7 Total 50 Page 1 of 6

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SAMPLE 1. Consider the following integral: integraldisplay 1 0 integraldisplay x 0 (2 x - 3 y 2 ) dydx. (a) (2 points) Sketch the region R over which we are integrating. (b) (5 points) Evaluate the double integral. Page 2 of 6
SAMPLE 2. (a) (5 points) Write down the double integral expressing the area of the region R given in the diagram for both orders of integration.

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