32B_Spring2008_Practice_Midterm_1

# 32B_Spring2008_Practice_Midterm_1 - Mathematics 32B -...

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Mathematics 32B - Practice Midterm 1 Instructor : D. E. Weisbart This practice exam is a bit too long. ..don’t worry your exam will be shorter. NAME (please print legibly): Your University ID Number: Signature: There are FIVE questions on this examination. Calculators, notes and books may not be used in this examination. You may not receive full credit for a correct answer if insuﬃcient work is shown. These answers are not complete. They serve only to let you know whether or not you were correct and I include a very brief explanation. QUESTION VALUE SCORE 1 20 2 20 3 20 4 20 5 20 TOTAL 100 1

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1. (20 points) Using methods of elementary geometry, calculate the following integrals. a. Z 1 0 Z x 0 3 d y d x. b. Z 1 - 1 Z 1 - x 2 - 1 - x 2 p 1 - x 2 - y 2 d y d x. c. Z π 0 Z cos θ 0 r d r d θ. 2
Calculate the values of the following integrals. a. Z 2 0 Z 3 1 ( xy 2 + y 3 ) d y d x. b.

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## This note was uploaded on 05/01/2008 for the course MATH 32B taught by Professor Rogawski during the Spring '08 term at UCLA.

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32B_Spring2008_Practice_Midterm_1 - Mathematics 32B -...

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