Horizontal or vertical asymptotes, if any

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  1. 1.       For the function find the following: 
    1. Horizontal or vertical asymptotes, if any.  If there are not any, please explicitly state this.  Otherwise, be sure to give the equation of the asymptote.
    2. Points of maximum or minimum and the values of the function at these points. Also, if a point of minimum or maximum is found, explain how you determined it to be a minimum or a maximum. (NOTE: a point has an x and a y coordinate)

 

    1. Inflection points and the values of the function at these points. (NOTE: a point has an x and a y coordinate)
  1. 2.      For the function find the following: 
    1. Horizontal asymptote(s) (if any)
    2. Vertical asymptote(s) (if any)

If there are not any, please explicitly state this.  Otherwise, be sure to give the equation of the asymptote.

 

  1. 3.      Prove that , as  

Find the antiderivatives of the following functions:              

  1. 4.       
  2. 5.     
  3. 6.     
  4. 7.      
  5. 8.      Find the definite integral 
  6. 9.      Find the area under the curveon the interval [0,3]    
  7. 10.   What is the definite integral of the function below from 2 to 8?

 

 
  

 

  • 7 years ago
Horizontal or vertical asymptotes, if any
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