A scientist is studying the growth of bacteria over time. • There was an initial amount of 3 at time t= 0. Every minute, the number of bacteria doubles. • The graph of the function is shown below. Write a function, B(t) to represent B, the number of bacteria present, after t minutes. 15- 10 -5- -5 5. 10

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Q: A scientist is studying the growth of bacteria over time. • There was an initial anmount of 3 at…

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A: Use Newton's law of cooling to solve it. u=T+(uo-T)ekt

Q: A scientist is studying the growth of bacteria over time. • There was an initial amount of 3 at…

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A: We know that Newton's law of cooling T(t) = Ts +(T0 - Ts)e-kt Here       T0 = initial temperature =…

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A: We will use Newton's law of cooling to come up with our equation . For our problem ,the surrounding…

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Q: 3). Bayonne Community Bank pays you $8.50 per hour for the first 40 hours you work each week and…

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Q: 3. Which function has the greater constant rate of change? Which has the greater initial value?…

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Q: Find a function that models the number of bacteria after t hours

A: detailed solution is given below

Q: When is this function increasing? 20 -4 -2 20- -40- B IU EE 0/1000

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A: We use her deduction method to describe the type of functions.

Q: A culture starts with 8000 bacteria. After 1 hour the count is 10,000. Find a function that models…

A: we know that P(t)=P0ektwhere P(t) is population at time tP0= population at initial,k = growth…

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A: Given function is: ƒ(x) = k(x - 49)6 + 0.8 ; where k = 3.8(10)-9 Differentiating f(x) with respect…

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Q: 33. A family invested $2,000 into an account that pays 2% interest compounded annually. In the…

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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.