1. The problem statement, all variables and given/known data set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations y = 4 - x^2 z= 4 - x^2 first octant 3. The attempt at a solution I am fairly confident in my ability to evaluate double integrals , but I am having a problem figuring out how to set this one up. In the example in my book they give two equations for z and equate them to find the region in the xy plane from this region they find the limits of integration. I think for this one I have to rewrite the first equation in terms of z? so z = f(x,y) = y + x^2 - 4 = 0 and then I set this equal to the other equation for z y + x^2 -4 = 4 - x^2 y -4 = 4 - 2x^2 y = -2x^2 + 8 I am not sure if anything up to here is correct and I don't know where to go from here. can someone give me a hint to help me get started ?