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Mathematics
Problem
The area of a circular ripple on a pond is increasing at
10
cm
2
s
−
1
10\,\text{cm}^{2}\text{s}^{-1}
10
cm
2
s
−
1
. Find the rate at which the radius is increasing when the radius is
5
cm
5\,\text{cm}
5
cm
. a)
2
π
cm s
−
1
\dfrac{2}{\pi}\,\text{cm s}^{-1}
π
2
cm s
−
1
b)
5
π
cm s
−
1
\dfrac{5}{\pi}\,\text{cm s}^{-1}
π
5
cm s
−
1
c)
1
π
cm s
−
1
\dfrac{1}{\pi}\,\text{cm s}^{-1}
π
1
cm s
−
1
d)
1
5
π
cm s
−
1
\dfrac{1}{5\pi}\,\text{cm s}^{-1}
5
π
1
cm s
−
1
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