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Mathematics
Problem
For a point constrained to the curve
x
2
y
=
16
x^{2}y=16
x
2
y
=
16
, the coordinates are
(
2
,
4
)
(2,4)
(
2
,
4
)
at a particular moment when
d
x
d
t
=
3
cm/s
\dfrac{dx}{dt}=3\text{ cm/s}
d
t
d
x
=
3
cm/s
. What is
d
y
d
t
\dfrac{dy}{dt}
d
t
d
y
(in cm/s) at that instant? a)
12
12
12
b)
−
6
-6
−
6
c)
−
12
-12
−
12
d)
−
3
-3
−
3
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