MATH 241 Final: MATH241_ALL-SECTIONS_SPRING2003_0000_FINAL_EXAM
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Answer each question on a separate answer sheet. Be sure your name, section number, and problem number are on each answer sheet. Also make sure to copy out and sign the honor pledge on answer sheet #1. A correct answer with no work to justify it may receive little or no credit. The exam is worth a total of 200 points. In problems with multiple parts, whether the parts are related or not, the parts are graded independently of one another. Be sure to go on to subsequent parts even if there is some part you cannot do. Please leave answers such as 5 2 in terms of radicals and do not convert to decimals. You are allowed use of a non-programmable calculator and one sheet of notes: let f (x, y) = 3x4 8x3 6x2 + 24x + xy2 + 3. Find and classify (relative max, relative min, saddle, or degenerate) all the (real) critical points of f .