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Following is a partial list of topics that may be covered in Math 113 with a sample problem that illustrates each topic.  Work the problem and click on the Answer button to see how you did.
   
Math 113 Topics
    
             Integration
 

  

 

    Integrate the following:


 
   

Answer

  

 

    Evaluate the following:


 
   

Answer

  

 

    Find the area of the region bounded by the graph of


the x-axis, and the line x = 3.


 
   

Answer

  

 

    Evaluate the following:


 
   

Answer

     
Differential Equations
 


 
Solve the differential equation.


 
   

 Answer



   
    Solve the differential equation.


 
   

 Answer



   
    Find the particular solution of the differential equation that satisfies the initial condition.


 
   

Answer



   
    Let x and y be the sizes of two internal organs of a particular mammal at time t. Empirical data indicate that the relative growth rates of these two organs are equal, and hence we have



Solve the differential equation, writing y as a function of x


   
Infinite Series
 


 
    Determine the convergence or the divergence of the sequence with the given nth term.
 

 
   

 Answer



 
    Determine the convergence or the divergence of the series.


 
   

 Answer



 
    Determine the convergence or divergence of the series.


 
   

 Answer



 
    Find a function represented by the series and give the domain of the function.


 
   

 Answer



 
Find the series representation of the function defined by the integral.


 
   

 Answer



 
Parametric Equations
 


 
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.


 

 Answer

 
 
Polar Coordinates


  
    Write the polar form of the equation of the conic.


 
   

Answer



  

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