APPM 2350 Midterm: appm2350fall2017exam2
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Instructions: electronic devices, notes, books, and crib sheets are not permitted. Write your (1) name, (2) instructor"s name, and (3) lecture number on the front of your bluebook. On the front of your bluebook, draw a big pumpkin. Note: please use partial derivative notation such as either details if possible. W or gw, and ll in speci c function (a) determine (b) determine. Note: be sure to use your most advanced calculus iii techniques for this problem to receive full credit: (20 points) consider the function f (x, y) = 9x2 + y3 + 3yx2 75y + 2. Find, and if possible, classify all critical points of f (x, y). Do not numerically simplify your answer here you will only hurt yourself and your score. Please simplify your answer, but don"t try to convert to decimal form. Projections and distances projab = (cid:16) a b. Arc length, frenet formulas, and tangential and normal acceleration components ds = |v| dt.
