The concentration of a chemical in a solution after hours is modeled by milligrams…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The concentration of a chemical in a solution after tt hours is modeled by C(t)=5tt2+1C(t)=\dfrac{5t}{t^{2}+1} milligrams per liter. At t=2t=2, what is the equation of the normal line to the graph of CC? (a) C=35t+45C=\dfrac{3}{5}t+\dfrac{4}{5} (b) C=53t−43C=\dfrac{5}{3}t-\dfrac{4}{3} (c) C=−35t+165C=-\dfrac{3}{5}t+\dfrac{16}{5} (d) C=13t+43C=\dfrac{1}{3}t+\dfrac{4}{3}

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