APPM 2350 Midterm: archive_appm2350summer2018exam2_sol

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31 Jan 2019
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Instructions: please show all of your work and make your methods and reasoning clear. Answers out of the blue with no supporting work will receive no credit (unless the directions to a speci c problem say otherwise, of course). Please start each numbered problem on a new page in your bluebook and do the problems in order. Please sign the front of your blue book indicating you read and understood these directions in addition to the cu honor code. Simplify all answers as far as possible!: (24 points) a few unrelated questions. Approaching the origin along the x-axis, y = 0 and we get lim (x,0) (0,0) x 02 x2 + 04 = lim x 0. The plane z = 4 has normal vector n1 = h0, 0, 1i. If we write the given surface as 2x2 y2 z = 0, then this is a level surface of the function g(x, y, z) =