Question

Find c>0 such that the area of the region enclosed by the parabolas y=x2−c2y and y=c2-x2 is 410

Answer 1

The value of \(c\) that makes the area enclosed by the parabolas \(y = x^2 - c^2y\) and \(y = c^2 - x^2\) equal to 410 is approximately \(c \approx 2.66\).