(a) Determine the second-order Taylor polynomial of f (x,y) = e2x cos y at the point (0,π/2).
(b) If h = (h1, h2) = (x, y) − (0,π/2) is such that |h1| ≤ 0.2 and |h2| ≤ 0.1, estimate the accuracy of the approximation to f given by your Taylor polynomial in part (a).
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