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Unformatted text preview: MATH 32B PRACTICE FINAL EXAM Please note: Show your work. Except on true/false problems, correct answers not accompanied by sufficent explanations will receive little or no credit. Please call one of the proctors if you have any questions about a problem. No calculators, computers, PDAs, cell phones, or other devices will be permitted. #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Total Your section meets (circle): Tuesday Thursday Student ID: Name: Signature: By signing above I certify that I am the person whose name and student ID appears on this page. 1 MATH 32B PRACTICE FINAL EXAM 2 Problem 1. (True/False, 2 pts each) Mark your answers by filling in the appropriate bosx next to each question. Let f and g be functions with continuous partial derivatives. Let F be a vector field whose components have continuous partial derivatives. (i: T F ) F curl ( F ) = 0. (ii: T F ) grad(div(grad ( f ))) = 0. (iii: T F ) If F = g for some function g , then integraltext C F ds = 0 for any closed contour C...
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- Spring '08