Mathematics 134 -- Intensive Calculus for Science 2

Quiz 5

February 27, 2002

The fifth regular quiz of the semester will be given during the first 20 minutes of class on Friday, March 1. It will cover the material on using integrals to find volumes of solids that we have discussed this week. Calculators and the table of integrals will be allowed on this quiz. You should know:

• How to find an integral formula for a volume by slicing, approximating the volume of the slice, then taking the limit as n -> infinity to get a definite integral. The examples in Section 8.1 are the most basic ones -- basic shapes like parts of cones, spheres, etc. The quiz will have one like this.
• Solids of revolution (as in Section 8.2), where the slices are circular discs or ``washers'' (rings) are also an important special case. The method applies too to any solid with ``known cross sections'', even if they are not discs or rings.
• How to evaluate the definite integral you get, using the FTC. This may involve any one of the methods we learned in Chapter 7 to find an antiderivative -- a substitution, parts, or the table of integrals.

On the quiz, there will be two volume problems similar to questions from this week's problem assignment.

Good Review Problems