Consider the solid E bounded by the tetrahedron with corners at (0,0,0), (1,0,0), (0,0,2), and (0,2,2) and the function f(x,y,z) = x^{2}ye^{z} .

Consider the solid E bounded by the tetrahedron with corners at (0,0,0), (1,0,0), (0,0,2), and (0,2,2) and the function f(x,y,z) = .

(a) Set up but do not evaluate the triple integral  with the order of integration given by dV=dy dz dx.

(b) Now do the same thing as in (a) except make the order of integration such that dV= dz dy dx.