Question| Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in hours. The function D(x) =10log(x+1)+5 models the concentration of metronidazole in mol/L over a time x, in hours. a) Which of the two drugs has a higher initial concentration in the blood stream? Justify your answer with an explanation. b) Determine when C(x)= D(x) algebraically and state what this represents in this situation. c) If Mathews is instructed to take both antibiotics at once the concentration levels could be modeled by the function (C + D)(x) . How would the graph of (C + D)(x) differ from the individual graphs of C(x) and D(x) ? Explain.
Question| Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in hours. The function D(x) =10log(x+1)+5 models the concentration of metronidazole in mol/L over a time x, in hours. a) Which of the two drugs has a higher initial concentration in the blood stream? Justify your answer with an explanation. b) Determine when C(x)= D(x) algebraically and state what this represents in this situation. c) If Mathews is instructed to take both antibiotics at once the concentration levels could be modeled by the function (C + D)(x) . How would the graph of (C + D)(x) differ from the individual graphs of C(x) and D(x) ? Explain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Both antibiotics were prescribed in high dosage slow release capsules. The
function C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L
over a time x, in hours. The function D(x)=10log(x+1) +5 models the
concentration of metronidazole in mol/L over a time x, in hours.
a) Which of the two drugs has a higher initial concentration in the blood
stream? Justify your answer with an explanation.
b) Determine when C(x) = D(x) algebraically and state what this represents in
this situation.
c) If Mathews is instructed to take both antibiotics at once the concentration
levels could be modeled by the function (C+ D)(x) . How would the graph
of (C+ D)(x) differ from the individual graphs of C(x) and D(x) ? Explain.
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