The region bounded by y = √x, y = 2, x = 0 about a. the x-axis b. the y-axis c. the line x = 4 d. the line y = 2

2 Find the area of the ellipse cut from the plane z = 3x by the cylinder x² + y² = 16. Surface area = (Type an exact answer in terms of t.)

4. Let S denote the surface whose equation, in cylindrical coordinates, is p²/3 + 2/3 = 1 (the Inception spinner). Find the volume of the region trapped inside this surface.