Section  Topics 

5.1, 5.2  Refer to the list of review topics from our previous exam. 
5.3  Arc length formula for the graph of a function y(x). 
Arc length formula for parametric (plane) curves.  
Exercises  36, 9, any of 1116. 
5.4  Pumping liquids from containers. 
Examples 6, 7.  
Exercises  1719, 35. 
5.5  Fluid force against a vertical plate. 
Examples 2, 3.  
Exercises  1, 2, 5, 6, 11. 
5.6 
Moment M_{0} , mass M , and center of mass M_{0} / M
of a strip along an axis with given density function. 
Examples 1, 2.  
Exercises  1, any of 512. 
6.1  The natural logarithm, its domain, range, and derivative. 
Laws of logarithms.  
Logarithmic differentiation.  
Logarithms with general bases (other than e).  
Exercises  Any of 166. 
6.2  The derivative rule for inverse functions. 
Inverse equations for e^{x} and ln(x).  
Definition of e as a limit.  
General exponential functions (with bases other than e),
their derivatives and antiderivatives. 

Exercises  1518, 4144, 4550, 5158. 
6.3  Derivatives of the inverse trigonometric functions. 
Examples 79.  
Exercises  1, 2, 710, 13, 14, 18, 19, 2126, 2730. 
6.7  Definitions of odd and even functions. 
Definitions of the basic hyperbolic functions.  
Derivatives of sinh, cosh, and tanh.  
Closed formulas for sinh^{1}, cosh^{1}, and tanh^{1}.  
Exercises  510, 6163. 
7.1  As discussed in class on Friday, 11/18/2005. 