var('t')
parametric_plot( (cos(t), sin(t)), (t, 0, 3*pi/2), axes_labels=('x', 'y'))
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var('t')
r=(cos(t), sin(t))
tbounds=(0, 2*pi)
tmin,tmax=tbounds
@interact
def myplot(tt=slider(tmin.n(), tmax.n(),default=((tmin+tmax)/2).n())):
p=parametric_plot(r, (t, tmin, tmax),alpha=0.5)
background=parametric_plot(r, (t, tmin, tt),thickness=3)
show(p+background)
Click to the left again to hide and once more to show the dynamic interactive window |
var('t')
r=(cos(t), sin(t), 2)
tbounds=(t,0,2*pi)
parametric_plot(r, tbounds)
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var('t')
r=(cos(t), sin(t), t)
tbounds=(t,0,4*pi)
parametric_plot(r, tbounds)
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# 21 in 13.1
var('t')
r=(t*cos(t), t, t*sin(t))
tbounds=(t,0,10*pi)
parametric_plot(r, tbounds)
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# 22 in 13.1
var('t')
r=(cos(t), sin(t), 1/(1+t^2))
tbounds=(t,-4*pi,4*pi)
parametric_plot(r, tbounds)
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# 23 in 13.1
var('t')
r=(t, 1/(1+t^2), t^2)
tbounds=(t,-20,20)
parametric_plot(r, tbounds)
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# 24 in 13.1
var('t')
r=(cos(t), sin(t), cos(2*t))
tbounds=(t,-4*pi,4*pi)
parametric_plot(r, tbounds)
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# 25 in 13.1
var('t')
r=(cos(8*t), sin(8*t), e^(0.8*t))
tbounds=(t,0,pi)
parametric_plot(r, tbounds)
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# 26 in 13.1
var('t')
r=((cos(t))^2, (sin(t))^2, t)
tbounds=(t,-2*pi,2*pi)
parametric_plot(r, tbounds)
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