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Recitations' Schedule Fall 1996


*****

Wed. Sept. 4

Graph the following functions indicating their zeros and their horizontal and vertical asymptotes, if any.

Commands:

plot, f := x ->, denom, numer, solve, fsolve, factor, simplify, expand, limit, evalf

                            4      2
                         2 x  - 2 x  + x + 5
               f(x) =    -------------------
                              2
                             x  - 3 x - 5



                          5    4
                         x  - x
g(x) =    ------------------------------------
           5      4      3       2
          x  - 6 x  + 5 x  + 26 x  - 48 x + 18

Explore the following functions. Accurately locate any maximum and minimum values and points of inflection, and draw a careful sketch of the function.

Commands:

diff, int, limit, plot, simplify, fsolve, numer, denom, taylor.
                                     1/3
                              (1 - x)
                    F(x) =   ----------
                                     2
                                1 + x

Using maple to find max, min, and inflection points.

Marcus' Pages


Carlos Rodriguez <carlos@math.albany.edu>
Last modified: Tue Sep 24 13:56:17 EDT 1996