the amount of drug in a person’s bloodstream can be modeled by an exponential decay function. Suppose it has a half life of 10 hours meaning it takes 10 hours for the amount of drug to in the bloodstream to be reduced to half of its original amount. What is the hourly decay factor for this drug?

Q: A bacterian culture has a initial population of 10000. If its population declines to 5000 in 6…

A: Exponential model ⇒Pt=Ae-kt⇒A=initial population ⇒k=decay rate ⇒t=Time in hours⇒Pt=Population at…

Q: Tuberculosis (TB) is one of the top 10 causes of death worldwide. According to the World Health…

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Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

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Q: A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to be…

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Q: If a certain substance exponentially decays from 100 grams to 20 grams in 3 years. How much of the…

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Q: Show that a radioactive substance which exponentially decays to 20% of its initial value after 8…

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Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…

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Q: After 245 years half of a sample of radioactive element remains. Write the equation for modeling its…

A: First form the differential equation than solve it.

Q: There are currently 4000 mice in a population that grows continuously and exponentially. 10 years…

A: The exponential function is given as, y = aebx, where a is the initial quantity and b is the rate of…

Q: Similar to the "half-life", the 'th life is how long it takes an exponentially decaying substance to…

A: Given: Substance has life of  years.Aim: To find its half-life.To find the half-life of the…

Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

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.