$[3/4$ Points$]$

LARSON$813\mathrm{.}4\mathrm{.}014.$

Consider the following. $($Give your answers correct to $2$ decimal places.$)$

$f(x,y)=x{e}^y$

$($a$)$ Evaluate $f(1,2).$

$$

Evaluate $f(1\mathrm{.}05,2\mathrm{.}1).$

$q,$

Calculate $z.$

$($b$)$ Use the total differential $dz$ to approximate $z.$

$z=$