\hat{\mathbf{i}}+7 x^{2} y^{2} \hat{\mathbf{j}}+6 x z^{2} \hat{\mathbf{k}} Find the flow through the side where r = 2. \underline{\mathbf{E}} \cdot \underline{\mathbf{n}} d S= Enter these as, e.g. *dx, *dy, and/or *dz. \iint_{\text {rightside }} \mathbf{E} \bullet \underline{n} d S= Find the flow through the top side. \underline{\mathbf{E}} \bullet \underline{\mathbf{n}} d S= \iint_{t o p} \underline{\mathbf{E}} \bullet \underline{\mathbf{n}} d S= Use Gauss's Theorem to calculate the total flow out of the box. \operatorname{div}(\underline{\mathbf{E}})= \oint \oint_{b o x} \mathbf{E} \bullet \underline{\mathrm{n}} d S=