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The concentration C of a chemical in the bloodstream t hours after injection into muscle...

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Calculus

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The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is given by the following 2t 64 3 C t t20 a Complete the table and use it to approximate the time when the concentration is greatest Round your answers to three decimal places 0 5 1 1 5 2 2 5 3 3 5 t t C t O b Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest C 3 C B 1 06 1 05 1 04 1 03 1 02 1 01 0 06 0 05 0 04 0 03 hr 0 02 0 01 0 hr 0 0 5 0 5 1 1 15 15 2 1 25 3 2 2 5 3 3 5 3 5 Cit CID 1 02 0 00 0 05 0 02 1 04 1 03 0 04 0 03 0 01 1 06 1 05 0 1 01 O 0 5 1 0 5 1 15 c Use calculus to determine analytically the time when the concentration is greatest 15 2 MY NC 3 5

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