An electric field given by vec$(E)=4\mathrm{.}6$hat$(i)-5\mathrm{.}4(y^2+6\mathrm{.}3)hat(j)$ pierces the Gaussian cube of edge length $0\mathrm{.}760m$ and positioned as shown in the

figure. $($The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters.$)$ What is the electric flux through the $($a$)$ top face, $($b$)$

bottom face, $($c$)$ left face, and $($d$)$ back face? $($e$)$ What is the net electric flux through the cube?

$($a$)$ Number

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$($b$)$ Number

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$($c$)$ Number

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$($d$)$ Number

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$($e$)$ Number

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