Planes and Surfaces

Calculus Level 3

Find the volume of the region enclosed by the plane \(z = 4\) and the surface:

\[z=\left ( 2x-y \right )^{2}+\left ( x+y-1 \right )^{2}\]

The answer is of the form \[\dfrac{A}{B}\pi,\] where \(A\) and \(B\) are coprime positive integers, find \(A+B\).

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