The concentration C of a chemical in the bloodstream t hours after Injection Into muscle tissues is glven by the following.8tC(t) =27 + t(a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.)0.511.522.53hr(b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest.0.30.302020.10.10.511.522.50.511.522.51.41.41.31.3121.21.111.10.51.522.530.51.522.5hr(c) Use calculus to determine analytically the time when the concentration is greatest.t =hr

Here, the given function is: C(t)=8t27+t3, t≥0 is the contraction function with t in hours.

The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is glven by the following. 8t C(t) = 27 + t (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 1.5 2 2.5 hr (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 0.4 0.4 03 03 02 02 0.1 0.1 0.5 2 2.5 0.5 1 2.5 3 1.4 1.4 1.3 1.3 1.2 1.2 1.1 1.1 0.5 1 1.5 2 2.5 0.5 1 1.5 2 2.5 hr (c) Use calculus to determine analytically the time when the concentration is greatest. t = hr

The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is glven by the following. 8t C(t) = 27 + t (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 1.5 2 2.5 hr (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 0.4 0.4 03 03 02 02 0.1 0.1 0.5 2 2.5 0.5 1 2.5 3 1.4 1.4 1.3 1.3 1.2 1.2 1.1 1.1 0.5 1 1.5 2 2.5 0.5 1 1.5 2 2.5 hr (c) Use calculus to determine analytically the time when the concentration is greatest. t = hr

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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