4-11s-test3

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31 Jan 2019
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EGR 265, TEST III 1
EGR 265, Math Tools for Engineering Problem Solving
April 18, 2011, 50 minutes
Name (Print last name first): ..........................................
TEST III
P1 :
P2 :
P3 :
P4 :
P5 :
P6 :
P7 :
Problem 1 (9+9 points)
(a) Let f(x, y) = 2x2y2+ 3y3. Find fxx +fyy.
(b) For the function g(x, y) = xexy find gx,gyand gyx.
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EGR 265, TEST III 2
Problem 2 (9+9 points)
(a) For the function h(x, y) = ln(x2+y2) find its direction and rate of steepest descent
at the point P(1,1).
(b) Find the directional derivative of h(x, y) at P(1,1) in the direction of the vector
v=4i+ 3j.
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