A cylindrical tank is being filled and drained simultaneously so that the water…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A cylindrical tank is being filled and drained simultaneously so that the water height

h

(in meters) satisfies

\displaystyle \frac{dh}{dt} = -0.05t + 0.80

for

t \ge 0

, where

t

is measured in minutes. Determine the time

t

(in minutes) at which the water level is momentarily neither rising nor falling.