Three chemicals in a reactor have concentrations (mol/L) given by ,

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Three chemicals in a reactor have concentrations (mol/L) given by C1(t)=10e−0.3tC_1(t)=10e^{-0.3t}, C2(t)=8−0.5t2C_2(t)=8-0.5t^{2}, and C3(t)=5ln⁡(t+1)C_3(t)=5\ln(t+1), where tt is measured in hours. At t=2t=2, rank the chemicals from fastest decreasing concentration to fastest increasing concentration by evaluating their instantaneous rates of change, and state each rate with appropriate units.

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