I) Draw the region R and evaluate JJ" "x2 + y dxdy by switching to polar coordinates. (5 pts) 2) Use a double integral to find the volume of the solid in the first octant bounded by z=4- x', 3x + y =6 and the coordinate planes. (5pts) 3) Graph the region inside the polar curve r = 3+2sin @ and outside r = 2. Use a double integral to find the area of this region. (5 pts) 4) Evaluate (5x-3y) dl where E is the solid bounded by the coordinate planes and x+2y+3z=6. (5 pts)