Math 106-01: Calculus II: Reading Homework 10.7

1. Models of Population Growth : how do we often describe population growth? what do we mean by ``relative growth rate''? what equation does this imply? how is it different from an ``absolute growth rate''?
   
   1. Application to the US Population : how is the relative growth rate for the US population calculated? how is the continuous growth rate k found? why are they different?
      
   2. Estimates for dP/dt : what different ways do we have to estimate dP/dt? which is best? why?
      
   3. the Logistic Model : how does the book derive a quadratic expression (in P) for dP/dt for the US population between 1860 and 1930?
      
      1. general form : where does the carrying capacity appear in the logistic equation? what is the other parameter (constant) in the equation?
         
      2. qualitative solution : what do solutions to the logistic equation look like? how is this determined?
         
      3. analytical solution : how is the analytical solution to the logistic equation obtained?