2. A population of bacteria grows exponentially. Initially there was 1500 bacteria. After five hours there was 4500 bacteria. Find a function of time, N (t), which represents the bacteria's population size. (i) Find the population size after ten hours; (ii) Find the time when the population size was 3,000.

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A: Given:Spring is pulled 9 cm down and released.Amplitude is decreased to 5cm after 3 secthe spirng…

Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (0, 2000) and (2,20)?

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Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

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Q: A population numbers 10,000 organisms initially and grows by 2.6% each year. Suppose P represents…

A: Given data : Population numbers = 10,000 Population , P = abt

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Q: in 2000, the population of a country was approximately 5.82 million and by 2028 it is projected to…

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Q: When an antibiotic is introduced intoa culture of 50,000 bacteria, the number of bacteria…

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Q: An overweight man makes lifestyle changes in order to lose weight. His starting weight is 260 pounds…

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Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: To find growth rate of the virus.

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Q: 6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) =…

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Q: The population of a town with a 2016 population of 63,000 grows at a rate of 2.4​% per year.   a.…

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Q: The population of a town with a 2016 population of 105,000 grows at a rate of 1.9% per year. a. Find…

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Q: 1 Find a formula for the exponential function passing through the points (-3, ) and (2, 16). 2 y =

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Q: A population numbers 18,000 organisms initially and grows by 17.9% each year. Suppose P represents…

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Q: The population of a southern city follows the exponential law.(a) If N is the population of the city…

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Q: a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their…

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Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

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A: The exponential function in the form f(t)=abt passing through points (3,1) and (5,4)

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Q: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

A: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

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A: Find the equation for the amplitude in terms of t as variable using the exponential decay equation.

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A: Given, The function for concentration of insulin in a patient  De-at.

Q: A population numbers 12,000 organisms initially and grows by 9.9% each year. Suppose P represents…

A: Given, Population number= 12000 Grows by 9.9%=9.9100=0.099

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (0 ,3) and (2, 75)?

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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.