maths
posted by patrick on .
determine the coordinate of the poin of intersection of the curves y=x*x and y*y=8x. sketch the two curves and find the area enclosed by the two curves.

y = x^2 = sqrt(8x)
x^4 = 8x
(x^3  8)*x = 0
x = 0 or 2
For the area between the curves, integrate
(8x)^(1/2)  x^2
from 0 to 2.
sqrt8*2^(3/2)/(3/2)  (2^3)/3
= 16/3  8/3 = 8/3