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(1) Consider the function ). . a: at, 3;) = s1n(:cy) + cos(; (a) Compute the local linearization of f (ac, y) at (i, 1).

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(1) Consider the function ). . a: at, 3;) = s1n(:cy) + cos(; (a) Compute the local linearization of f (ac, y) at (i, 1). (b) Compute the quadratic polynomial for f (as, y) at(%, 1). (c) Compare the values of the linear and quadratic approximations in part (a) and (b) with the true values for f($, y) at the points (0.7,0.9), (0.75,1.1) and (0.07.1.2). Which two approximations gives the closest values

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