5. The Gateway Arch in St. Louis is 630ft high and has a 630ft base. Its shape can be modelled by the parabola y = 630 [1 (335)? Find the average height of the arch above the ground. 9. Assume f and g are even integrable functions on [16,16]. Suppose f(:l:) > g(w) > O on [16,16], and that the area of the region bounded by graphs of f and g on [16,16] is 10. Evaluate / w [f(w2) 9M] dz 0 15. Let R be the region bounded by y = 9:2 and y = . Which is greater, the volume of the solid generated when R is revolved about the x-axis or about the line y = 1? Show your work