Determine if the expression forr(u, v)with domain D defines a smooth parametrized surface. Explain your answer. (Your instructors prefer angle bracket notation <> for vectors.)r(u, v)=cos(u), sin(v),1, D ={(u, v)|0 u 4,0 v 4}r(u, v) with domain D---Select---doesdoes not define a smooth parametrized surface. To be a smooth parametrized surface(ru rv)(u, v)0for all(u, v)in the interior of the domain. In this case(ru rv)=,therefore there ---Select---are someare not any(u, v)where(ru rv)(u, v)=0.