Solved: Numerical, Graphical, and Analytic Analysis The concentration of a chemical in

Chapter 4, Problem 97

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Numerical, Graphical, and Analytic Analysis The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is

\(C(t)=\frac{3 t}{27+t^{3}}, \quad t \geq 0\).

(a) Complete the table and use it to approximate the time when the concentration is greatest.

(b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is greatest.

(c) Use calculus to determine analytically the time when the concentration is greatest.

Text Transcription:

C(t)=3t/27+t^3, t geq 0

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