The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is given by C = 3t² + t t3³ + 50' t≥ 0. (a) Determine the horizontal asymptote of the function. C = 0 Interpret its meaning in the context of the problem. O This indicates that the concentration of the chemical into the muscle tissue eventually dissipates. O This indicates that the concentration of the chemical into the muscle tissue remains constant. O This indicates that the concentration of the chemical into the muscle tissue increases. (b) Use a graphing utility to graph the function and approximate the time when the bloodstream concentration is greatest. (Round your answer to one decimal place.) h t= (c) Use the graphing utility to determine when the concentration is less than 0.322. OC < 0.322 when 0 ≤ t ≤ 3.49 hours and t > 9.05 hours. OC < 0.322 when 0 st≤ 2.49 hours and t> 9.05 hours. OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 11.05 hours. OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 10.05 hours.
The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is given by C = 3t² + t t3³ + 50' t≥ 0. (a) Determine the horizontal asymptote of the function. C = 0 Interpret its meaning in the context of the problem. O This indicates that the concentration of the chemical into the muscle tissue eventually dissipates. O This indicates that the concentration of the chemical into the muscle tissue remains constant. O This indicates that the concentration of the chemical into the muscle tissue increases. (b) Use a graphing utility to graph the function and approximate the time when the bloodstream concentration is greatest. (Round your answer to one decimal place.) h t= (c) Use the graphing utility to determine when the concentration is less than 0.322. OC < 0.322 when 0 ≤ t ≤ 3.49 hours and t > 9.05 hours. OC < 0.322 when 0 st≤ 2.49 hours and t> 9.05 hours. OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 11.05 hours. OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 10.05 hours.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is given by
t
C = - 382 +000 t≥ 0.
50
(a) Determine the horizontal asymptote of the function.
C = 0
Interpret its meaning in the context of the problem.
This indicates that the concentration of the chemical into the muscle tissue eventually dissipates.
O This indicates that the concentration of the chemical into the muscle tissue remains constant.
O This indicates that the concentration of the chemical into the muscle tissue increases.
(b) Use a graphing utility to graph the function and approximate the time when the bloodstream concentration is greatest. (Round your answer to one decimal place.)
h
t =
(c) Use the graphing utility to determine when the concentration is less than 0.322.
OC < 0.322 when 0 ≤ t ≤ 3.49 hours and t> 9.05 hours.
OC < 0.322 when 0 ≤ t ≤ 2.49 hours and t > 9.05 hours.
OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 11.05 hours.
OC < 0.322 when 0 ≤ t ≤ 1.49 hours and t > 10.05 hours.
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