Mathematics

Mathematics

Problem

A function ff gives the rate of change of a quantity QQ (in units per hour) with respect to time tt (in hours). Which of the following expressions represents the net change in QQ from t=2t=2 to t=7t=7? a) ∫27∣f(t)∣ dt\displaystyle \int_{2}^{7} |f(t)|\,dt b) ∫27f(t) dt\displaystyle \int_{2}^{7} f(t)\,dt c) 5(f(7)−f(2))\displaystyle 5\bigl(f(7)-f(2)\bigr) d) 15∫27f(t) dt\displaystyle \frac{1}{5}\int_{2}^{7} f(t)\,dt

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