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Given the following rational function:             F(X) = (2X^2 - 20) / [( X - 5 )^2] Find all...

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Basic Math

Given the following rational function:

            F(X)= (2X^2 - 20) / [( X - 5 )^2]

  1. Find all horizontal and vertical asymptotes

  2. Find the first derivative of F(X) andsimplify

  3. Find the critical values for X and determine if they areat a maximum or minimum, using the First Derivative SignTest.

  4. Find the Second Derivative and Use it to confirm youranswers to part c. You may keep the 2nd derivative in “rough” formand simply substitute in the X value found in part c to see if youconfirm a max or a min.

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