AP Calculus AB Pacing and Alignment Guide

Chapter 6 Solutions Manual (Access Restricted)

6.1 Learning Targets

I can setup and evaluate an integral to find the area between two curves (f(x)>g(x)).

I can setup and evaluate an integral to find the area between two curves that cross each other.

6.2 Learning Targets

I can calculate the volume of a solid of revolution by using disks or washers.

I can calculate the volume of a solid with known cross-sections.

6.3 Learning Targets

I understand the method of using cylindrical shells to compute volumes of revolution, including the derivation of this method.

I can calculate the volume of a solid of revolution by using cylindrical shells.

6.4 Learning Targets

I can calculate the work done in stretching a spring (i.e. Hooke's Law, work comparisons).

I can calculate the work done when lifting an object (i.e. elevators, buckets, leaking buckets).

I can calculate the work done in emptying a tank filled with water over the top of the tank (i.e. rectangular, cylindrical, triangular, spherical).

6.5 Learning Targets

I can find the average value of a function over a given interval. I can find a value of c such that f(c) = f(avg value).