3. Let $S$ be a surface given by $$ z=\sqrt{3} x+\frac{2}{3} y^{\frac{3}{2}}, $$ for all $(x, y) \in D$, where $D$ is a rectangular region with the vertices $(0,0),(3,0),(3,5)$ and $(0,5)$. Find the area of $S$. In your solution there should appear a sketch of $D$, the double integral over $D$ for the area of $S$, an iterated integral and the process of its evaluation. CS.VS. 1612