The concentration C of a drug in a patient's bloodstream t hours after injection is given by () C = 45 · %3D 75+t2 a. What is the concentration of the drug after 1 hours? (round answer to two decimal places) b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the patients system once the concentration has decreased to 0.5 %? (round to two decimal places) If your solution is a complex or imaginary number, enter "NAN" for "Not a Real Number". hours c. What is the end behavior of the function? 45 O as t o, C → 75 O as t o, C → -∞ O as t o, C → ∞ O as t o, C 45 O as t oo, C 0

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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The concentration C of a drug in a patient's bloodstream t hours after injection is given by
t
C = 45·
75+t2
a. What is the concentration of the drug after 1 hours? (round answer to two decimal places)
b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the
patients system once the concentration has decreased to 0.5 %? (round to two decimal places) If
your solution is a complex or imaginary number, enter "NAN" for "Not a Real Number".
hours
c. What is the end behavior of the function?
45
O as t → o,C →
75
O as t → o,C → – ∞
O as t o, C → ∞
O as t o, C → 45
O as t o, C → 0
Search
esc
%
1
2
3
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5
个
Transcribed Image Text:The concentration C of a drug in a patient's bloodstream t hours after injection is given by t C = 45· 75+t2 a. What is the concentration of the drug after 1 hours? (round answer to two decimal places) b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the patients system once the concentration has decreased to 0.5 %? (round to two decimal places) If your solution is a complex or imaginary number, enter "NAN" for "Not a Real Number". hours c. What is the end behavior of the function? 45 O as t → o,C → 75 O as t → o,C → – ∞ O as t o, C → ∞ O as t o, C → 45 O as t o, C → 0 Search esc % 1 2 3 4 5 个
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