The rate at which a chemical is added to a tank is liters per hour for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The rate at which a chemical is added to a tank is r(t)=t2−4t+3r(t)=t^{2}-4t+3 liters per hour for 0≤t≤40\le t\le 4. The chemical is removed whenever r(t)<0r(t)<0. Determine the total number of liters of chemical that enter the tank during the four-hour period. (a) 43\dfrac{4}{3} (b) 83\dfrac{8}{3} (c) 44 (d) 22

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