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Parametric Curves in 2D

​
show
x
y
connections
ticks
values
derivatives
t
0
x =
sin(2t)
2
t
+4
, y =
cos(2t)
2
t
+4
Explore a few examples of parametric curves in two dimensions. See how the
x(t)
and
y(t)
functions relate to the final drawn curve in the top-left corner. Also, select "derivatives" to see how
dx/dt
and
dy/dt
relate to
dy/dx
, the slope of the parametric curve. The concavity, as given by
d[dy/dx]/dx
, is also shown, in contrast to the rate of change of slope with respect to time. (Select "values" and "derivatives" to see all derivative values.)
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