Question

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

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

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