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Mathematics
Mathematics
Problem
For two related variables, the desired instantaneous slope is
d
y
d
x
=
−
3
\displaystyle \frac{dy}{dx}=-3
d
x
d
y
=
−
3
. If at some instant
d
y
d
t
=
6
units/min
\displaystyle \frac{dy}{dt}=6\,\text{units/min}
d
t
d
y
=
6
units/min
, what must be the value of
d
x
d
t
\displaystyle \frac{dx}{dt}
d
t
d
x
(in units/min) at that instant? a)
2
2
2
b)
−
2
-2
−
2
c)
−
0.5
-0.5
−
0.5
d)
0.5
0.5
0.5
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