Consider the solid G in the first octant bounded above by x + y + z = 4, below by z = 0, laterally by y = x, y = 0, and x^2 + y^2 = 4. (a) Sketch G accurately. (b) Sketch the base R accurately. (c)...

Consider the solid G in the first octant bounded above by x + y + z = 4, below by
z = 0, laterally by y = x, y = 0, and x^2 + y^2 = 4.
(a) Sketch G accurately.
(b) Sketch the base R accurately.
(c) Set up an integral to find the volume of G using appropriate theorems.
(d) Evaluate the integral to find the volume of G exactly