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Unformatted text preview: Exam Three MATH 200 Spring, 2010 1 of 6 Name _______________________________ Section _____ Show all your work on the exam paper, legibly and in detail, to receive full credit. The use of a calculator or any other electronic device is prohibited. You may only use techniques discussed to date in class. You must simplify all answers unless you are explicitly instructed not to. Consider the function 2 ln 1 z x y . a. (8 points) Suppose that x x t and y y t are differentiable functions. Use an appropriate form of the chain rule to find dz dt . b. (7 points) If 2 x t and y t , use your answer in part (a) to find dz dt at 1 t . Pts P1-15 pts P2-20 pts P3-20 pts P4-15 pts P5-15 pts P6-15 pts Total S c o r e Exam Three MATH 200 Spring, 2010 2 of 6 Consider the function 2 2 ( , ) x f x y e y a. (8 points) Find the gradient of f . b. (7 points) Find the directional derivative of f in the direction of the vector = 1,2 v at the point...
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- Spring '10