Chapter 15.6, Problem 32ES

(a) Derive the analogs of Formulas (12) and (13) for surfaces of the form $y=g(z,x).$

(b) Let $\sigma$ be the portion of the paraboloid $y=z^2+x^2$ for $y\le 1\text{and }z\ge 0$ oriented by unit normals with positive y-components. Use the results in part (a) to find the flux of

$\begin{array}{l}\text{F(}x,y,z)=x\text{i}+y\text{j}+z\text{k}\\ \text{across }\sigma \text{.}\end{array}$