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Spring '07 Exam 2

# Spring '07 Exam 2 - Math 13 Calculus III Exam 2(100 points...

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Math 13 Exam 2 March 12, 2007 Calculus III (100 points) Noon–1:20 p.m. Please do all nine problems below. Except for the true-false questions, you must show your work and justify your answers in order for partial or full credit to be awarded. No books, notes or calculators are allowed during this exam. You are required to sign each examination blue book that you are handing in. With your signature, you are pledging that you have neither given nor received any help pertaining to this exam. If you are found in violation of this policy, you will be refered to the Dean of Students and automatically receive an F for the course. 1. (6 pts) On the inside cover of your blue book mark the following questions T (for True ) or F (for False ). NO PARTIAL CREDIT . a) For the function z = f ( x, y ), if ∂f/∂x ( x 0 , y 0 ) = 0 and ∂f/∂y ( x 0 , y 0 ) = 0, then f must have a local maximum or a local minimum at ( x 0 , y 0 ). b) The double integral integraltextintegraltext D f ( x, y ) dx dy in rectangular coordinates is equal to integraltextintegraltext D f ( r cos θ, r sin

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Spring '07 Exam 2 - Math 13 Calculus III Exam 2(100 points...

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