1)

Intersects are -1 and 3

=

=

2) y = \sqrt{x}

y = \frac{1}{2}x

x = 9

There's an intersection at x = 4, so the Area between curves is:

Shorthanding this answer: the antiderivative is

And for 4 you get

, and for 9 you get

and for 0 it's 0, so the answer is:

A bunch of stuff cancels and you get

~~~

The two above I though I did correctly, and didn't apparently, so I don't know where I went wrong on those.

3) Find the number

*b* such that the line

*y* =

*b* divides the region bounded by the curves

*y* =

*x*^2 and

*y* = 4 into two regions with equal area. (Round your answer to the nearest hundredth.)

This one I'm just not sure where to get started.