Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = 
, a = (4, 4)
A. 4 + 
(x - 4) + 
(y - 4) - 
(x - 4)2 - 
(x - 4)(y - 4) - 
(y - 4)2
B. 4 + 
(x - 4) + 
(y - 4) - 
(x - 4)2 - 
(x - 4)(y - 4) - 
(y - 4)2
C. 4 + 
(x - 4) + 
(y - 4) + 
(x - 4)2 + 
(x - 4)(y - 4) + 
(y - 4)2
D. 4 + 
(x - 4) + 
(y - 4) - 
(x - 4)2 + 
(x - 4)(y - 4) - 
(y - 4)2
Answer: D
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