A 10-meter climbing rope hangs vertically

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A 10-meter climbing rope hangs vertically. At a distance

y

meters from its lower end, the mass density is

\mu(y)=5e^{0.2y}

kilograms per meter. Determine the mass of the rope, rounded to the nearest kilogram.