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1.construct the graph of sin(x) with x ranging in [0,2 p ].

2.Draw a circle given by the parametric equations x=cos(t),y=sin(t),t e [0,2p]
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

Binomial(100,k)*x^(100-k)*(1-x)^k, k = 0 .. 100按我看例子 


6.Construct this pattern of the "sunflower"
7.Construct the graph given in polar coordinates by r=cos(7t/2)+1/4 ,t e [0,4  p ]
8.Construct this interesting drawing
9.Construct this interesting drawing
10.Construct 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.
12.因式分解2^257-1

 

 

Maple作業
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> m:=[x,binomial(100,k)*x^(100-k)*(1-x)^k,x=0..1]:

> plot ({m$k=0..100},axes=none);

[Maple Plot]