Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. Suppose that, for a dosage of x mg, the bioavailability is h(x) = x mg. If x mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 8x/(x + 8) mg. Finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x) = 3200/(32+x2), measured in colony forming units, CFU. (a) Derive the function that relates oral dosage to the number of surviving bacteria using composition of functions. 3200 + 4x 2 x x+4 (b) Suppose the antibiotic is instead administered by injection. Derive the function that relates dosage to the number of surviving bacteria using composition of functions.

Q: Which is equivalent to e(ß ln(2x)) + ln (ße2x) when ß is a positive constant?

A:

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: The total number of people in the population is 200,000.

Q: A water tank has been sanitized by pouring in chlorine bleach. Bleach is toxic at the level needed…

A:

Q: ↑ Using actual and projected data from 2000 through 2050, the number of millions of white…

A:

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: When a drug is administered orally it takes some time before the blood concentration reaches its…

A:

Q: Solve. a) ln(x+1) + ln(x-1) = 0 b) e8-5x = 16 c) ln(2x) - ln4 = 3 d) 2ln(x+3) = ln(12x)

A: a) use logarithmic identities to solve the given equation as.

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A:

Q: Solve the following problem: Suppose a student is a carrier of the flu virus and returns to his…

A: Total number of students=1000 x(4)=50 Determine the number of students long after 7 days ?

Q: UCLAium-1919 is a radioactive element with a half-life of 140 days. Suppose that 10 mg of the…

A:

Q: Find grad f.

A:

Q: Suppose a person's utility function for items x and y is u = ln(x) + ln(y), and he currently has…

A: