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Mathematics
Mathematics
Problem
Explain what additional information, beyond the component rates
d
x
d
t
\dfrac{dx}{dt}
d
t
d
x
and
d
y
d
t
\dfrac{dy}{dt}
d
t
d
y
, is required to determine a unique parametric curve
⟨
x
(
t
)
,
y
(
t
)
⟩
\langle x(t),y(t)\rangle
⟨
x
(
t
)
,
y
(
t
)⟩
, and state why this information is necessary.
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