(Solved): Find the rectangular equation for the surface by eliminating the parameters from the vector-valued ...

Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function. Identify the surface and sketch its graph. \[ \mathbf{r}(u, v)=4(u+v) \mathbf{i}+u \mathbf{j}-12 v \mathbf{k} \] Identify the surface. sphere paraboloid cone cylinder plane Sketch its graph. Sketch its graph.