APPM 2350 Final: appm2350fall2016examfinal
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Instructions: electronic devices, books, and crib sheets are not permitted. Write your name and your instructor"s name on the front of your bluebook. Note that a correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Note: this is a calculus iii nal exam. Assume: (25 points) one of your friends had trouble evaluating the double integral z zr exp x2. 9 da where r is region inside the ellipse. 9: (25 points) consider the point (1, 1, 3) in the plane 2x + 2y + z = 7. Calculate the circulation of the vector eld f = y i + x j + y k around the curve c. (d) if there is a way to verify your answer, then do so. Otherwise, write cannot be veri ed. either way, explain your reasoning. Projections and distances projab = a b.
