Problem $4.(1$ point$)$

Match the equations $($a$)-($f$)$ with the graphs $(1)-(6)$ below.

$($a$)z=xy{e}^{-(x^2{y}^2)}$;

$($b$)z=-\frac{1}{x^2{y}^2}$: $?$

$($c$)z=\frac{sin(x^2{y}^2)}{x^2{y}^2}$ :

$($d$)z=|x{|}^{0\mathrm{.}5}(|y|0\mathrm{.}5{)}^{-0\mathrm{.}75}$ : $?$

$($e$)z=\frac{y^2}{4}$ :

$($f$)z=\frac{sin(x)(cos(y)-1)}{xy}$ :

Note: You can earn partial credit on this problem.