HW034
Math 2984 - Fall 2017
Intro to Mathematical Problem Solving


TASK: Plot several formulas on the same graph.


COMMENT: The first five Chebyshev polynomials of the second kind have the formulas

        u0(x) = 1
        u1(x) = 2x
        u2(x) = 4x^2 - 1
        u3(x) = 8x^3 - 4x
        u4(x) = 16x^4 - 12x^2 + 1
      

We want to make one plot that displays all five polynomials, over the range [-1,+1].


INSTRUCTIONS:

        Create an xlist of N linearly spaced x values between -1 and +1.
        A value of N around 100 might be reasonable.

        We are going to create 5 separate lists of y values, and so we
        might want to name them u0, u1, u2, u3 and u4.

        Actually, u0 is a special case.  We need a list that has the value 1 
        repeated N times (N is the number of x values)
 
          u0 = ones ( 1, n );

        The next formula is easy:

          u1 = 2 * xlist;

        Now you have to set the values of u2, u3, and u4.  Since xlist is a 
        list, remember the rules for doing arithmetic on lists!

          u2 =
          u3 =
          u4 =

        In order to plot all five functions, together, we have two choices:

        A) use ONE plot command:
           plot ( xlist, u0, xlist, u1, xlist, u2, ... )

        B) use hold on, 5 plot commands, and hold off
           hold on
           plot ( xlist, u0 )
           plot ( xlixt, u1 )
           ???
           hold off

        Follow your plot statement by commands that
        1) turn on grid lines;
        2) label the X axis;
        3) label the Y axis.
        4) title the plot.

        Your last command should save a copy of your plot:

        print ( '-djpeg', 'hw034.jpg' );
      


CHECK:


SUBMIT: I only need your script file "hw034.m". I do NOT need your plot file. Your script file should begin with:

        % hw034.m
        % YOUR NAME
        % This script (describe what it does)