1.

Given f (x,y)=ex cos⁡y, what is the value of the fifth term in Taylor’s series near (1,\(\frac{π}{4}\)) where it is expanded in increasing order of degree & by following algebraic identity rule?

A. \(\frac{-e(x-1)(y-\frac{π}{4})}{\sqrt{2}}\)
B. \(-\sqrt{2} e(x-1)(y-\frac{π}{4})\)
C. \(\frac{e(x-1)^2}{\sqrt{2}}\)
D. \(\frac{e(y-\frac{π}{4})^2}{\sqrt{2}}\)
Answer» B.


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