Consider the solid E bounded by x = 2, y = 2, z = 0 and x + y − 2z = 2

(a) Sketch the solid given by the above bounds.

(b) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dy dx dz. Do not evaluate the integral.

(c) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dz dx dy. Do not evaluate the integral.