The questions are straightforward, that I can see, at least (there only appear to be 3 that belong to assignment 5 amongst the scans.) Solutions will be scans of handwritten sheets.
As a show of good will, I'll sketch the solution for Q3. We split the integral into a repeated integral over the x-y plane and the z axis. The function sqrt(x^2+y^2) is constant with respect to z, and limits are between 0 and x^2+y^2, so we immediately reduce the original triple integral to the double integral of (sqrt(x^2+y^2))^3 over the area bounded between the circle x^2+y^2=2 (with radius sqrt(2) and center at the origin), the circle x^2+y^2=sqrt(2)*x (with radius 1/sqrt(2) and center (1/sqrt(2),0)), and the positive x and y axes. We now substitute x=r cos theta and y=r sin theta;then x^2 +^y^2 = r^2, the Jacobian is r and the limits become r from sqrt(2)cos theta to sqrt 2, and theta from 0 to 2pi. This is now a straightforward integral to complete.