Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = , a = (2, 2)

A. 2 - (x - 2) +  (y - 2) + (x - 2)2 - (x - 2)(y - 2) - (y - 2)2
B. 1 + (x - 2) +  (y - 2) + (x - 2)2 + (x - 2)(y - 2) - (y - 2)2
C. 1 - (x - 2) +  (y - 2) + (x - 2)2 - (x - 2)(y - 2) - (y - 2)2
D. 1 - (x - 2) - (y - 2) + (x - 2)2 - (x - 2)(y - 2) - (y - 2)2


Answer: C

Mathematics

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