Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
1. Find the area between the curves on the given interval.
2. Find the area between the curves on the given interval.
3. Sketch and find the area of the region determined by the intersections of the curves.
4. Sketch and find the area of the region determined by the intersections of the curves.
5. Sketch and find the area of the region determined by the intersections of the curves.
6. Sketch and estimate the area determined by the intersection of the curves.
7. Sketch and estimate the area determined by the intersection of the curves.
8. Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral. Verify your answer with a basic geometric area formula.
9. Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.
10. Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.