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Mathematics
Problem
The radius
r
r
r
(in meters) of an inflatable ball satisfies
d
r
d
t
=
3
−
0.5
r
\dfrac{dr}{dt}=3-0.5r
d
t
d
r
=
3
−
0.5
r
, where
t
t
t
is measured in seconds. Determine the radius at which the ball's surface area stops increasing.
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