APPM 2350 Final: appm2350fall2016examfinal_sol
Document Summary
Instructions: electronic devices, books, and crib sheets are not permitted. Write your name and your instructor"s name on the front of your bluebook. Note that a correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Note: this is a calculus iii nal exam. Solution: we will need to nd the values of a and b such that i/ a = 2(a 2)(a 3) = 0, and i/ b = 2(b 2)(b 3) = 0, simultaneously. This results in the critical points (2, 2), (2, 3), (3, 2) and (3, 3). Now we need to evaluate the discriminant, d(a, b) = iaaibb iab, at each of the critical points, and then classify the extreme values. Note that i 2/ a2 = 4a 10, 2i/ b2 = 4b + 10, and 2i/ ab = 0.
