1.         Find all critical numbers for

                     Find the maximum and minimum values (if they exist) of f(x) on [-1,2).

        2.         Given in [2,8], find all values of c that satisfy the Mean Value Theorem, . 

In 3 - 4,     find all critical numbers, intervals increasing/decreasing, relative maximum/minimum points, points of inflection (if any), intervals concave up/down, vertical asymptotes, vertical tangents, sketch the graph. 

         3.         Use the graphing calculator  

         4.         Use first and second derivative tests  .

         5.         Given the table:  

                      and  

                     Sketch the graph.

                     Identify critical points, relative max and mins, points of inflection, asymptotes, and vertical tangents.

         6.         Find each of the following limits:

                     a)               b)  

         7.         Use algebraic methods to find the exact value of the limit:      .

         8.         Use Newton's Method to find the root of

                     Draw a sketch, give the x values.  Is x = 1 a good initial value?     Why or why not?

         9.         Given , find df and Δf when x =2 and Δ x = 0.1.

       10.        The sum of two numbers is 60.  Find the numbers such that the product of the first times the cube of the second is a maximum.

       11.        A farmer has 160 feet of fencing to enclose 2 adjacent rectangular pens.  What dimensions should be used for each pen so that the enclosed area will be a maximum?

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