| 1.Construct the graph of sin(x) with
x ranging in [0, 2Pi]. |
 |
2.Draw the graphs of the first six
Chebyshev polynomials in the interval [-1,1].
x=cos(t), y=sin(t), t[0,2Pi] |
 |
| 3.Draw the graphs of the first six
Chebyshev polynomials in the interval [-1,1]. |
 |
| 4.Draw this pretty leaf: |
 |
| 5.Draw the graphs of the polynomials
given by the binomial expansions |
 |
| 6.Construct this pattern of the "sunflower": |
 |
| 7.Construct he graph given in polar
coordinates by
r=cos(7t/2)+1/4, t= [0,4Pi]
|
 |
| 8.Construct this interesting drawing: |
 |
| 9.Reference: William F. Rigge, Envelope
Rosettes, Amer. Math. Monthly, (1920), p. 154. |
 |
| 10.Draw this interesting pattern: |
 |
11.Construct a gif file animating
the function
f(x,t) = sin (x + t)
and include the gif in your web page. |
 |