Question

help me with this question please. see the attachment..

Answer 1

You are yet to attach the file.

Answer 2

@NeetziD, i posted the file

Answer 3

Most easy way to see Taylors polynomial is in differentials:
\(f(x_1+h,x_2+k,x_3+l)=f(x_1,x_2,x_3)+df+\frac{1}{2!}d^2f+...+\frac{1}{n!}d^nf+R_2\)
where \(d^nf\) are the diferentials of f

Answer 4

\(df=hf_{x_1} + kf_{x_2}+lf_{x_3}\)
\(d^2f=h^2f_{x_1x_1}+hkf_{x_1x_2}+hlf_{x_1x_3}+hkf_{x_2x_1}+k^2f_{x_2x_2}+klf_{x_2x_3}+hlf_{x_3x_1}+klf_{x_3x_2}+l^2f_{x_3x_3}\)

Answer 5

you are only asked for 2º order expantion, so you will need only this differentials. Now calculate the derivatives and substitute all that into the 1º equation that I posted with
\(x_1=1,x_2=1,x_3=0\)

Answer 6

@vamgadu