. It just so happened that one of the other superheroes had been flying in some hydrocodone bitartrate as a cough suppressant for the people who had caught influenza in the previous story. The concentration of hydrocodone bitartrate in the bloodstream, after a 10 mg oral dose, is modeled by nanograms per milliliter (ng/ml) when t is the time after consumption of the drug in hours.   a. How long does it take for the drug to reach peak concentration in the blood? What is the peak concentration?   b. When is the concentration in the bloodstream decreasing the fastest?   c.If the minimum effective concentration is 0.5 ng/ml, when should the next dose be administered

Q: An isotope of the element erbium has a half-life of approximately 12 hours. Initially there are 42…

A:

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: Let the population of the mosquito at time is P(t). Here, t is time, measured in days   Given that…

Q: S and T are postive and related by S=k/T (k is a constant). If S increases by 50%, then T decreases…

A: Given that S and T are postive and related by S=k/T , where k is a constant. Now T = k/S implies…

Q: Given enough food and space, a colony of yeast increases at a rate proportional to its population.…

A: according to our guidelines we can answer only three subparts and rest can be reposted.

Q: The question is asking for CM/min. Are you sure this is the solution to

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Q: A mess of 40 iguanas moved to a new island which is so large that the carrying capacity is…

A: Population size = N = 40 Generation time = Time per generation = 2 years Growth rate = 0.6 Growth…

Q: population is growing a rate of 1.15% per year and its current population is 49.2 million. P(t) =…

A:

Q: A bacterla colony starts with 20 bacterla and grows continuously at a rate of 28% per hour. a. How…

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Q: Substance A decomposes at a rate proportional to the amount of A present. It is found that 18 lb of…

A:

Q: You are asked to make 300mL of a solution of concentrate X, which when diluted with water 1 in 10,…

A: To make a 300 mL solution of concentrate X that, when diluted with water 1 in 10, produces a 1 in…

Q: Suppose that k = 0,2hr−1 and that the smallest effective concentration is 0.04mg/ml. A single dose…

A: Given

Q: Example 1: A large tank holds 350 gallons of brine solution with 38 lbs. of salt. A concentration of…

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Q: The formula for kinetic energy is: K = 0.5 mv, where m is mass in kilograms, v is velocity in m/s,…

A:

Q: swer is correct for the cut-off grade and ore-grade of a deposit generating $4/t 30% recovery,…

A: The following solution is provided below:

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: Initially, 10 grams of a radioactive substance were found in a sample. It was observed In z that 20%…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.