1. The problem statement, all variables and given/known data Set up the double integral in rectangular coordinates for calculating the volume. The solid is created by the equation 2. Relevant equations Fubini's Thereom ∫R∫f(x,y)dA = ∫ab∫f(x,y)dydx 3. The attempt at a solution The shape created by Z = 30 - x2 - y2 is 3d parabola facing downards. Since it is bounded by Z = 5, the base shape is a circle at origin with radius 5 since 5 = 30 - x2 - y2 is equal to x2 + y2 = 25 As a result x is bounded by -5 and 5 while y is bounded by -√(25-x^2) and √(25-x^2) As a result to set up the double integral ∫-55∫√(25-x^2)√(25-x^2)30-x^2-y^2dydx Are the integral boundaries in correct?