# Math 121: Chapter 5,7 Exam Study Guide

1. Find the area between two curves.
2. Find the volume of the solid of revolution.
3. Find the volume of the solid of revolution.
4. Find the length of a curve.
5. Find the surface area of revolution.
6. Find the derivative. This is a little bit of everything from chapter 2 and 5. You will need to know all of the derivative rules including implicit differentiation. You may save yourself a lot of work by using properties of logarithms. Six parts.
7. Use logarithmic differentiation to find the derivative.
8. Integrate. This is a little bit of everything from chapters 4 and 5. You will need to know how to do u-substitutions as well as use a geometry formula to evaluate an integral. Seven parts.

## Notes

• Most of the problems are similar to those in the textbook.
• In questions 1-5, you are to show your work as far as coming up with the definite integral and then use the numeric integration feature on your calculator to evaluate the definite integral.
• There are 113 points possible, but the exam is only worth 100 points in the gradebook, so here is a chance for you to recoup some of the points missed on other tests.
• There is a take home exam worth 18 points that is due the day of the exam.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 TH Total 5 5 5 5 5 30 5 35 18 113