Past Exam for APPM 2350 - CALCULUS 3 FOR ENGINEERS at Colorado (CU)

Exam Information

Material Type:Final
Subject:Applied Math
University:University of Colorado - Boulder
  • Rectangular
  • Explanation
  • Calculators
  • Conservative
  • Temperature
  • Differentiate
  • Substitutions
  • Potential Function
  • Transformation
  • Right Hand Side
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APPM 2350 - Final Exam - December 16, 2002 On the front of your bluebook, print your name, student number, the name of your instructor (Dougherty, Flyer, Musslimani, Norris) and a grading table. The grading table should be numbered from 1 to 8. Do the first 5 problems. Then, choose 2 of the last 3 problems. Put an X beside the number (6, 7 or 8) of the problem you are skipping. Otherwise, the first seven problems will be graded. Show all work. Correct answers with no supporting work will receive no credit. Books, class notes, calculators and crib sheets are NOT permitted. 1. (25 points) Some unrelated, short-answer questions to get you started. (a) Evaluate lim (x,y)?(1,1) x2?y2 x?y if the limit exists. If the limit does not exist, explain why it does not exist. (b) Is f(x,y) = x+yx?y differentiable at the origin? Explain your answer fully. (c) Let R be the square in the xy plane with corners at (0,0), (0,2), (2,0) and (2,2). From the definition of the double integral, what is the best conclusi...

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