Find c 0 such that the area of the region enclosed by the parabolas y = x^2 − c^2 and y = c^2 − x^2 is 470 . What does c=?

Question

Find c > 0 such that the area of the region enclosed by the parabolas y = x^2 − c^2 and y = c^2 − x^2 is 470 . What does c=?

Jim S. · Accepted Answer

∫(c2-x29dx (from 0,c)=470/2 or 2352/3c3=235c=7.06RegardsJim

Find c > 0 such that the area of the region enclosed by the parabolas y = x^2 − c^2 and y = c^2 − x^2 is 470 . What does c=?