Compute the differential of surface area for the surface s described by the given parametrization.
r(u, v) = e^u cos(v), e^u sin(v), uv , d = {(u, v) | 0 < _ u < _ 4, 0 < _ v < _ 2π}

With parameterized by

the surface element is

We have

with cross product

with magnitude

So we have

answer: 38.47 is your answer

step-by-step explanation: hope i you and who ever sees this answer have a great rest of your day : )