The volume of water in a storage tank t hours after midnight is given by a…
MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
The volume of water in a storage tank t hours after midnight is given by a differentiable function V(t). At 2:00 a.m. the tank held 1500 L, and at 8:00 a.m. it held 900 L. A local regulation forbids withdrawing water faster than 75 L per hour (in magnitude). Must the data imply that the regulation was violated at some time between 2:00 a.m. and 8:00 a.m.? Answer Yes or No and support your conclusion with a brief calculation.