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 ValuesDirectionalCalculatorsDefinitionsDiscontinuousContour LinesDifferentiable

Sample Document Text

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...