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Mathematics
Problem
A rectangle has constant area
100
cm
2
100\text{ cm}^2
100
cm
2
. The width
w
w
w
of the rectangle is increasing at a rate of
2
cm/s
2\text{ cm/s}
2
cm/s
. What is the instantaneous rate of change of the length
ℓ
\ell
ℓ
when the width is
5
cm
5\text{ cm}
5
cm
? a)
8
cm/s
8\text{ cm/s}
8
cm/s
b)
−
0.5
cm/s
-0.5\text{ cm/s}
−
0.5
cm/s
c)
−
8
cm/s
-8\text{ cm/s}
−
8
cm/s
d)
−
4
cm/s
-4\text{ cm/s}
−
4
cm/s
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