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Mathematics
Problem
A 10-meter climbing rope hangs vertically. At a distance
y
y
y
meters from its lower end, the mass density is
μ
(
y
)
=
5
e
0.2
y
\mu(y)=5e^{0.2y}
μ
(
y
)
=
5
e
0.2
y
kilograms per meter. Determine the mass of the rope, rounded to the nearest kilogram.
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