MAC 2313 Midterm: MAC2313 S15 Test 2
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Instructions: write your complete solutions on your answer sheets do not write on this paper. To receive credit, you must show all work. Some answers will involve square roots, fractions, , e, etc (1) (20 pts. ) Answer the following, for the function f (x, y) = For the function f (x, y) = (x2 3)(y2 5) Classify each critical point as a local maximum, local minimum or saddle point. (5) (20 pts. ) Use the method of lagrange to nd the maximum and minimum of subject to the constraint f (x, y) = x 3y + 5 x2.
