1. Consider a population of bacteria that grows according to the function P(t) = 700e0.85, where t is measured in minutes. (a) How many bacteria are present in the population after 4 hours? (b) When does the population reach 100 million bacteria? (c) How long will it take the population to double?

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: Suppose that copper is being projected to be extracted from a certain mine at a rate given by P'(t)…

A: Suppose that copper is being projected to be extracted from a certain mine at a rate given by

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Q: 2. The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: A(t) = amount remaining in t years          = A0ekt, where A0 is the initial amount and k is a…

Q: Suppose that copper is being projected to be extracted from a certain mine at a rate given by P'(t)…

A: (a)

Q: Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result…

A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

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Q: Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV…

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A: Given that: Population growing rate of a community is 2% per year Per capita consumption growth rate…

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Q: 2. Consider a population of bacteria that grows according to the function f(t)=500e^0.05t , where t…

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Q: A population of bacteria can be modeled by the function f(t)=1000(0.98)t where t represents the time…

A:

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: We will use the exponential growth equation of bacteria .

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A: We are given that the grow after each year is 11%, that means if the initial value is x, then the…

Q: 4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in…

A: The growth rate of a colony of ants is given by 10t/(1+t2)2 Initially there are 100 ants ∴ Number of…

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Q: b) Find the equation of the line tangent to the graph of y=log; (5x +1) at x = 2

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Q: A radioactive element decays according to the function Q= Q, e", where Qo is the amount of the…

A: This question is based on exponential decay.

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A: We have to determine the time necessary for the number of bacteria to triple.

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: Question- If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded…

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A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

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A: Given that :-the level of carbon monoxide:Q(t)=0.01t3+0.1t+2.2 ppm.Q(5)=0.01(5)3+0.1(5)+2.2…

Q: [2] The rate of growth of the bacterial population is proportional to the number of bacteria present…

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A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

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Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

Q: 1. The population of a town grows at a rate proportional to the population present at time t. The…

A: We will find out the required values.

Q: The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  find t when m=50…

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: Solved below

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Q: In Example 2, we modeled the population size (in millions) of the United States as N(t) = 8.3(1.33)'…

A: The solution of above question no. #30 is written below with graph.

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the volt-age…

A: Separate the variables.

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: 5) The half-life of Thorium-234 is 25 days. The initial mass of Thorium is 25 g. a) Find the…

A: Topic:- decaying function

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Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

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A: Given: A company has an income stream with a rate of income given by f(t)=1-0.02t where f(t) is…