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3. (16 pts) For (a) and (b) in this problem, you are not required to justify your answer. You need to justify (c). (a) (3
3. (16 pts) For (a) and (b) in this problem, you are not required to justify your answer. You need to justify (c). (a) (3 pts, only answer) Find the second-order Taylor polynomial of f (x, y) = 1 + 2x + 3y + 4x2 + 593 + 6xy' at (0, 0). (b) (3 pts, only answer) Let f (x, y) be as in (a). Find the second-order Taylor polynomial of g(x, y) = f(x, y) cos (2(x + y) ) at (0, 0). (c) (10 pts) Let U = (a, b) and g(x, y) be as in (b). Express Dag, which is by definition Do( Dog), using a and b
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