MATH 21A Midterm: MATH 21A Harvard 21a summer 10Midterm 2sol

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15 Feb 2019
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Problem 1) true/false questions (20 points), no justi cations needed. Name: start by printing your name in the above box, try to answer each question on the same page as the question is asked. If needed, use the back or the next empty page for work. If you need additional paper, write your name on it: do not detach pages from this exam packet or unstaple the packet, provide details to all computations except for problems 1-3, please write neatly. Answers which are illegible for the grader can not be given credit: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 90 minutes time to complete your work. Mark for each of the 20 questions the correct letter. The partial di erential equation ut = uxx is called the heat equation. Every function f (x, y) in 2 variables has either a local maximum or a local minimum or a saddle point.

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