Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.

y= sqrt[x]
y=(1/2)x
x=16

I keep on getting 328/3 as my answer, but when I input it the answer is wrong. I solve the integral in terms of dy but I always get it wrong.

(d) Estimate the time t at which the cars are again side by side.

I keep on getting 2.2s but I input it and it ends up wrong.

2. First one should be: $\displaystyle \int_0^4 \sqrt{x}dx$ $\displaystyle - \int_0^4 \frac{x}{2}dx$ $\displaystyle + \int_4^{16} \frac{x}{2}dx$ $\displaystyle -\int_4^{16} \sqrt{x}dx = ...$

(If you integrate with respects to x, which to me seems easier)