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Mathematics
Mathematics
Problem
A point
(
x
,
y
)
(x,y)
(
x
,
y
)
moves so that
(
x
2
+
y
2
)
2
=
25
(
x
2
−
y
2
)
(x^{2}+y^{2})^{2}=25\,(x^{2}-y^{2})
(
x
2
+
y
2
)
2
=
25
(
x
2
−
y
2
)
. At the instant when
x
=
3
x = 3
x
=
3
,
y
=
1
y = 1
y
=
1
, and
x
x
x
is increasing at
0.6
0.6
0.6
units per second, determine
d
y
/
d
t
dy/dt
d
y
/
d
t
.
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