Homework 1
There are 8 problems in this set. Submit
any 6
problems. It is due
February 24
.
Topic: Area between curves
1. Find the area of the shaded region. Provide the appropriate formula. Show your work! Do not use calculator!
2. Sketch the region 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. Find the area of the region.
3. The area of the region is represented by the given definite integral. The integrand is the difference of two functions. What is the integrand for the given problem? What is the top function? What is the bottom function? Sketch the graph of each function and the region enclosed by the given curves. Shade