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Mathematics
Mathematics
Problem
The variables
x
x
x
and
y
y
y
are related by
x
2
y
+
y
3
=
7
x^{2}y+y^{3}=7
x
2
y
+
y
3
=
7
. When
x
=
1
x=1
x
=
1
,
y
=
2
y=2
y
=
2
and
x
x
x
is decreasing at
3
units s
−
1
3\,\text{units s}^{-1}
3
units s
−
1
, calculate
d
y
d
t
\dfrac{dy}{dt}
d
t
d
y
.
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