Math 106-01: Calculus II: Reading Homework 10.6

1. Applications and Modeling : how are differential equations involved in determining functions representing real processes?
   
   1. Applications :
      
      1. ice layers : what assumption allows us to write a differential equation for the thickness of an ice layer?
         
      2. net worth : how is the differential equation for the increase in a company's net worth derived? what are the two terms on the right-hand side of the equation? what is the term on the left-hand side?
         
      3. falling velocity : what law is used to derive the differential equation for a sky-diver? what are the non-deriveative terms?
         
   2. Analysis and Modeling :
      
      1. compartmental analysis : what do we mean by compartmental analysis? what application does the book use for it? how is the rate at which salt is entering calculated? rate at which salt is leaving?
         
      2. qualitative information : how does the book derive qualitative information about a differential equation without solving it?