Find the height of y=((sqrtx)(3-x))/3 for 0<=x<=3

Question

Use the arc length formula and note that
1/4x+1/2+x/4=(1/(2sqrtx) + sqrtx/x)^2
is a perfect suare.

Answer 1

Not sure what you want in the first problem. The height varies along the interval.

For the second problem, your equation is wrong. Both terms on the right have x in the denominator. There is no way to get the x/4 term on the left.

And, find the arc length of what?