3644.sagews

Aufgabe2

p1=plot(e^(-1/2*x)*cos(2*pi*x),(0,6),rgbcolor=(0,1,0),legend_label='$e^{(-1/2*x)}*cos(2*\pi*x)$') 
p2=plot(e^(-1/2*x),(0,6),rgbcolor=(1,0,0),legend_label='$e^{(-1/2*x)}$') 
p=p1+p2 
p.axes_labels(['$x$','$f(x)$']) 
p.axes_label_color((0,0,1)) 
p.set_legend_options(shadow=True) 
p.set_legend_options(loc=(4)) 
show(p)

k=plot((-x^2+4*x+5),(x,-1,6), rgbcolor=(0,0,1)) 
show(k) 
f= lambda x:-x^2+4*x+5 
find_maximum_on_interval(f, 0,5)

(9.0, 2.000000034598127)

a = animate([circle((2,(abs(-1*i))+1), 1-1/(6), 
hue=i/10) 
for i in srange(-5,5,0.6)], 
xmin=0,ymin=0,xmax=10,ymax=10,
figsize=[2,2]) 
show(a)