The height of a reservoir (in meters) changes at a rate meters per day
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The height H(t) of a reservoir (in meters) changes at a rate H′(t) meters per day. During days 0≤t≤5, the average value of H′(t) is 0.3. During days 5<t≤10, the average value of H′(t) is −0.4. Without finding exact integrals, identify which five-day interval produces the greater magnitude of net change in height and state that magnitude (in meters).