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C2M5
Parametric Functions
Have you ever played with a toy called
”EtchaSketch”
? One hand controls the
x
axis while the other
controls the
y
axis. It is as if you are graphing (
x
(
t
)
,y
(
t
))
,a
≤
t
≤
b,
which is exactly what happens when
a function in the plane is deFned parametrically. Be very careful where you place the right bracket,
]
, when
using Maple to plot parametric graphs.
Maple Example:
Plot
x
(
t
) = sin(13
t
)
(
t
) = cos(7
t
) for 0
≤
t
≤
6
π
which produces a
lissajou
. The
plot is on the left below. As you can see, the scaling is a little o± because the “square” is two units on each
side. ²or a little fun, increase the coeﬃcients to say 43 and 37 and see what happens. You may also wish to
increase the domain.
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This note was uploaded on 04/08/2008 for the course MATH 1112 taught by Professor Iacob during the Spring '08 term at Georgia Southern University .
 Spring '08
 Iacob

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