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1. Find the area of the surface of the part of the plane z = 2 + 3x + 4y that lies above the rectangle 0 x 5 and 1 y 4.

2. Find the volume of the region S inside the cylinder x + y = 9, above the plane z = 0 and below the plane z = 4 - y.

(a) set up the triple integral to determine this volume via cylindrical coordinates.

(b) evaluate the triple integral you found in part a.