Use Taylor's formula to find the requested approximation of    near the origin.Cubic approximation to  

A. 1 - 10x - y + 100x2 + 10xy + y2 - 1000x3 + 300x2y - 30xy2 + y3
B. 1 - 10x - y + 100x2 + 20xy + y2 - 1000x3 + 300x2y - 30xy2 + y3
C. 1 - 10x - y + 100x2 + 20xy + y2 - 1000x3 - 300x2y - 30xy2 - y3
D. 1 - 10x - y + 100x2 + 10xy + y2 - 1000x3 - 300x2y - 30xy2 - y3


Answer: C

Mathematics

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