A function \( f \) and its first and 2nd partial desivatives are evaluated at \( (2,-1) \). the values are \( f=3, \frac{\partial f}{\partial x}=4, \frac{\partial f}{\partial y}=-3 \),
\[
\frac{\partial^{2} f}{\partial x^{2}}=1, \frac{\partial^{2} f}{\partial x \partial y}=2, \frac{\partial^{2} f}{\partial y^{2}}=-1 .
\]
(a) Stater the and order taylor polymonial. generated by \( f \) about \( (2,-1) \)
(b) Estimate \( f(1.8,-0.9) \)
(c) verify that the taylor polynomial and have identical values at \( (2,-1) \)
(d) verify that the 1st partial derivateine of the Taylor polynomial and \( f \) are identical at \( (2,-1) \)
e) Verify that the 2nd Partial devivativie of the taylor polymomial and \( f \) are identical at \( (2,-1) \)
