Im not sure how to find the limits of this
Set up an integral to find the volume of the solid below the graph of f(x,y) = 49 - x2 - y2 and above the plane z = 9.
i think the equation becomes x^2+y^2=40 and the x limits are -sqrt(40) to sqrt(40) but im not sure. could someone please explain to me how i get the limits.
thanks!
That happens because of the symmetry of the circle. We can then take half of the original interval as our limits for integration, but to compensate, we need to multiply that result by two to get the other section.
The reason why its 4 instead of 2 is because I cut both x and y intervals in half, so I needed to multiply by 2*2=4.