Question

Diagram 2 shows a parabolic satellite disc which is symmetrical at the y axis. Given that the diameter of the disc is 8m and the depth is 1m.

(a) find the equation of the curve y = f(x)
(b) to find the approximate area under a curve, we can divide the region into several vertical strips, then we add up the areas of all strips. estimate the area bounded by the curve y=f(x) at (a) the x-axis, x=0 and x=4