Question: The function z = f(x, y) is defined by f(x, y) = 2x 2 3xy + y 2 . (a) [12 marks] Find a second

The function z = f(x, y) is defined by f(x, y) = 2x 2 3xy + y 2 . (a) [12 marks] Find a second degree Taylor polynomial, P2(x, y), for the function about the point (1, 0). (b) [4 marks] Use your answer to approximate the value of the function at (0.9, 0.01). (c) [4 marks] Find the approximation error E = E(x, y) at (0.9, 0.01)

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