MATH 253 Midterm: MATH 253 2016 Winter Test 1

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9 Jan 2019
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This test has 8 questions on 12 pages, for a total of 80 points. Dr c. macdonald, dr m. murugan, dr r. balka, dr n. bade: read all the questions carefully before starting to work. No aids of any kind are allowed, including: documents, cheat sheets, electronic devices of any kind (including calculators, phones, etc. ) Student conduct during examinations: each examination candidate must be prepared to produce, upon the request of the invigilator or examiner, his or her ubccard for identi- Suppose z = f (x, y) describes the surface of a mountain. The values of some derivatives are known at certain points: point. Answer: xiaofei is a biologist who wants to re-introduce a species of frog into a wet envi- ronment. Answer: donnie wants to have picnic at a place where the ground is at and dry. He thinks a peak would be too windy.