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

A. 1 - 2x - 18y + 3x2 + 72xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3
B. 1 - 2x - 18y + 3x2 + 54xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3
C. 1 + 2x + 18y - 3x2 - 72xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3
D. 1 + 2x + 18y - 3x2 - 54xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3


Answer: B

Mathematics

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