(1) Approximate the area A of the region between the graph of f(x) = 16-(-1)2 and the z-axis and between x = 0 and x = 4 as follows: (a) Use four rectangles with the height of each rectangle given by the height of the graph above the right endpoint of the rectangles base. Do the same using left endpoints (b) Repeat part (a) using eight rectangles. (c) Find a formula for An using f(x) 16 ( 1)2 and the interval [0, 4] and use it to find the sum of four rectangle areas as well as the sum of eight rectangle areas (d) Find the exact area A of the region between the graph of f(x) = 16-(1-1)2 and the x-axis from x = 0 to x = 4 by taking the limit of the formula you obtained in part (c).