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Following is a partial list of topics that may be covered in Math 112 with a sample problem that illustrates each topic.  Work the problem and click on the Answer button to see how you did.
   
Math 112 Topics
     
             Functions and Graphs
 

  

 
What is the minimum degree of the polynomial function whose graph approximates the given graph? What sign must the leading coefficient have?
 

 
 Answer


    
 
  
Inverse Functions
 


 
Perform the following inverse.


 
 Answer


   
Exponential and Logarithmic Functions
 


 
Solve for x:
 
 Answer


 
Evaluating Limits
 


 
Find the limit (if it exists).


 

 Answer


 
Find the one-sided limit.


 
   

Answer
   

 
    The function f is defined as follows.


 
(a) Find  (if it exists).

(b) Can the function f be defined at x = 0 such that it is continuous at x = 0?

 


 
Continuity
 


 
Determine the intervals on which the function is continuous.



 


  
Determine the value of c such that the function is continuous on the entire real line.


 


  
 
 		 Differentiation


  
    Use implicit differentiation to find dy/dx.


 
   

Answer


  
    Find the derivative of the function.


 
   

Answer


  
   
A point moves along the curve in such a way that the y-value is increasing
at a rate of 2 units per second. At what rate is x changing for the following value?

 
 
   

Answer


  
 
 		 Optimization


  
    Two posts, one 12 feet high and the other 28 feet high stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from ground level to the top of each post. Where should the stake be placed to use the least wire?
 

 
   

Answer


  

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Updated 11/07/08 .   For broken links or comments, please email  vzabrocki@msubillings.edu