Both antibiotics were prescribed in high dosage slow release capsules. The functionC(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x,in hours. The function D(x)=10 log(x+1)+5 models the concentration ofmetronidazole in mol/L over a time x, in hours.a) Which of the two drugs has a higher initial concentration in the bloodstream? Justify your answer with an explanation.b)Determine when C(x) = D(x) algebraically and state what thisrepresents in this situation.OPTIONAL BONUS QUESTIONc) If Mathews is instructed to take both antibiotics at once theconcentration levels could be modeled by the function (C+ D)(x). How wouldthe graph of (C +D)(x) differ from the individual graphs of C(x) and D(x)?Explain.

Given C(x)=5 log (x+1)+10 and D(x)=10 log (x+1)+5 to find the initial concentration put x= 0 in…

Answered: Both antibiotics were prescribed in…

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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Assume 100 snails originally have the virus and that in early stages the number of snails infected is increasing approximately exponentially, with a continuous growth rate of 0.02. Assume further that in the long run, they estimate approximately 5300 snails will be infected. The number of snails infected after t hours after infection began is modeled by a logistic function: P=L1+Ce−kt What is the value of t when the rate at which snails are becoming infected peaks? Select the closest value.
The concentration of DDT (dichlorodiphenyltrichloroethane) in Lake Erie has been declining exponentially over the last several decades. In 1970, the DDT concentration was 13.59 ppm (parts per million). In 1985, the DDT concentration was 2.37 ppm. Part 1. Using these data points, determine the exponential decay function to model the DDT concentration decline in terms of years, tt, where t=0 represents the year 1970. (Round values to 4 decimal places) Part 2.
A endangered species is released into a park. The population of an endangered species is expected to follow the logistic model p(t)= 810/1+8e-188t . Where t is measured in mionths. a. How many endangered species were released into the park? b. How many endangered species will there be in 5 months? c. As time goes by, what appears to be the maximum population in the park?
The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?
Escherichia coli, commonly referred to as E. coli, is essential for modern biotechnology research. One reason for this is the ease and speed at which E. coli can be cultivated in the laboratory. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in al culture doubles approximately every 15 minutes. Suppose an initial colony of 100 E. coli bacteria are to be used for an experiment. Use the exponential growth model Y = Yekt where t is measured in minutes, to write an exponential growth function for bacteria colony. Round the growth constant (k) to four significant figures. The exponential growth function that models growth of the E. coli colony is Approximately how many bacteria will be present in the colony after 175 minutes? Round the solution to the nearest whole number. Approximately bacteria will be present in the colony after 175 minutes. Determine how long it will take for the bacteria colony to reach 100,000,000…
It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?
Imagine that COVID-19 had spread exponentially in Maine since the first case (on March 12). Using the model f(t)=A02t/d with A0=1 and t= number of days since March 12, find D with the knowledge that there were 7,603 total cases on Nov. 7, 240 days after March 12.
In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary.
If a population grows exponentially at a rate r, the time it will take for the population to double is given by the formula t =
The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?

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