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Past Exam for MATH 203 - Calculus III at Northeastern Illinois University (NEIU)

Exam Information

Material Type:Exam 1
Professor:Staff
Class:MATH 203 - Calculus III
Subject:Mathematics
University:Northeastern Illinois University
Term:--
Keywords:
  • Static Values
  • Directional
  • Calculators
  • Definitions
  • Discontinuous
  • Contour Lines
  • Differentiable
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Math203, Demo Exam #1 (Chapters 12-14) Directions: Answer all of the questions. The problems will have their weights assigned next to them. Show all work for maximal credit. No notes, cellular phones, pagers, calculators, books or friends. Good luck. 1) Definitions. a. What is a Vector? What does it represent? Provide an example. b. What does the Dot Product signify? Provide an example. c. For a single variable function f(x), what does it mean when we state that )(lim 3 xf x→ exists? d. For the multivariable function f(x,y), what does it mean when we state that ),(lim 2,3 yxf yx →→ exists? e. What do contour lines represent? f. Define the directional derivative and provide an example. 2) For the function, ( ) ( )22 3541 ++−= yxz , perform the following. Be sure to explain your reasoning. a. Draw the function on the x-y plane as a set of contours representing static values of z. b. Draw the function on the y-z plan as a set of contours repre...
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