A chemical reaction produces a reactant at a rate given by grams per hour

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A chemical reaction produces a reactant at a rate given by g(t)=0.5t2−3t+4g(t)=0.5t^{2}-3t+4 grams per hour, where tt is the time in hours. Determine the net amount of reactant produced, in grams, during the time interval 1≤t≤51\le t\le 5. (a) −23-\dfrac{2}{3} (b) 43\dfrac{4}{3} (c) 23\dfrac{2}{3} (d) 00

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