6. Determine the area under the curve y = - x-1 from x = 2 to x = 3. (8%) 7. Evaluate the integrals: a) J x2+2 dx b) [ cos 0 sin* 0 do c) Jaxex dx 8. Sketch the region enclosed by the given curves. Find the area of the region bounded by the curves y=x , y=vx (8%) 9. A manufacturer wants to design a closed box having a square base and a surface area of 54 sq.in. Find what dimensions will produce a box with maximum volume. (8%)