Calculus III: Test 4, v. 1 1. If R = {0S1 4and 2 y 4), evaluate lar2 +4zy3jdA Evaluate the iterated3dydz Compute the area of the region bounded by the curves y 2 and y 3r. d. Compute the volume of the solid bounded by the plane 2z+3y+2 = 6 and the three coordinate planes. 5. Evaluate 3r2 + 3y2)dA, where R is bounded by 2 + y-4. Find the center of mass of a thin plate of density δ = 1 bounded by the line y-0 and the parabola Find the centroid of the region cut from the first quadrant by the circle r2+y 9. 8. Evaluate â ¢ermaV, where Q is the solid inside + y-4 and between a-i and 9. Evaluate â ¢VF+ã¢+zar, where Q is bounded by the hemisphere-V9- and the ry-plane