Use Maple to graph the solid of revolution formed by rotating the region enclosed by f(x) = -x^2 + 1 and g(x) = x^6 - x + 1 around the x-axis (as in the introduction). Use the fsolve command to find the points of intersection (fsolve is like solve except that it will give a decimal approximation instead of an exact answer). In order to find the volume of this solid should you use the disks or cylindrical shells? Justify your choice. Use Maple to find the volume of this surface rounded to two decimal places (you may need to use the evalf command to get Maple to give a decimal answer).