Consider the surface S given by the vector function rho(u, v) = for 1 ≤ u ≤ 2 and 0 ≤ v ≤ 2. Set up an expression with a double integral, in terms only of the parameters u and v, that computes the mass of the plate below1 . Do not attempt to compute the value of the double integral.
The plate S with mass density q(x, y, z) = 1 + x^4 + y^2 + z. Show all your computations to receive full credit.