Answer the following and plot the curves.

1. Find the area of the region bounded above by the curve = (2)^() + , below by the curve = ^/2 , on the left by = 0, and on the right by = 1.

2. Find the area of the region enclosed by the parabola = 2 ^2 and the line = .

3. Find the area of the region in the first quadrant that is bounded above by = and below the x- axis and thr line = 2.

4. Find the volume of the solid generated by revolving the region between the and the curve = 2/, = 1, = 4, about the y-axis.

5. Find the volume of the solid generated by revolving the region between the parabola = ^2 + 1 and the line = 3 about the line = 3.

6. Find the area bounded by the curve x=3+cos, y=sin 7. Find the area bounded by the parabola y^2=4x and the line 2x-4