The rate at which a virus spreads through a population (measured in people per day) is given by the function r(t) = 2.33e1.165t, where t is the number of days since the initial infection. How many people were infected between days 7 and 14? Round your answer to the nearest person.

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A: Given the rate = (8-t) L/min  We have to find water added between t=2 to t=4 So we will integrate…

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Q: The number of bacteria in a culture is given by the function n(t)=940e0.45tn(t)=940e0.45t where tt…

A: Given,           The number of bacteria in a culture is given by the function…

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Q: The number of bacteria in a culture is given by the function n(t)=955e^0.35t Where t is measured in…

A: We compare  n(t)=955e0.35t with A=Pert Comparing we get r=0.35  So the continuous rate of growth of…

Q: A 2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min)…

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 95e¬0.02t…

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Q: With time t in seconds, the velocity of a bicycle, in feet per second, is given by At) = 4t. How far…

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Q: The number of bacteria in a culture is given by the function n(t)=920e0.4t◂=▸n⁡(t)=920⁢◂◽˙▸e0.4⁢t…

A: (a) The general equation for exponential growth is given by y=Aert, where A is the initial quantity…

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A: Given rate at which no. of bacteria growing isr(t)=3000e0.6t

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Q: Find the time required for an object to cool from 300°F to 260°F by evaluating the following where t…

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A: use exponential function  rate of growth = 0.4 = 40%   at initial t = 0 n(0) = 945(1) = 945

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A: Comparing these two equations we get: P=930, r=0.15 So, continuous growth rate = 0.15= 15% And…

Q: at the rate of r (t) = 3t liters per minute, where t is the time in Which of the following defines a…

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Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

A: Water is being pumped into a tank at the rate of

Q: How do we do this question? Thank you

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: Given query is to find the amount of oil leaked in one  hour.

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A: find the value of t when population is double from what it is when time is zero.substitute value of…

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Q: Suppose the rate of sales of a new product is given by f(t) = 200 – 90e-t, %3D where t is the number…

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Q: The volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t =…

A: Given that the volume of sphere is increasing at a rate proportional to the reciprocal of its…

Q: A 12,000-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min)…

A: Note: As per the guidelines we are supposed to answer only 3 sub parts, kindly repost the complete…

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Q: The number of bacteria in a culture is given by the function n(t)=960e0.4tn(t)=960e0.4t where tt is…

A: Exponential Population model

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Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: consider the epidemic function n=f(t)=300t^3-20t^2 where n equals to number of people and 0<=t<=60,…

A: detailed solution is given below

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Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.