Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The maximum rate of air flow into the lungs is about 0.7 L/s. This explains, in part, why the function   has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t.

Q: The growth rate of Escherichia coli, a common bacterium found in the human intestine, is…

A: a: it doubles in every 30 minute and initial population = 10 then we can write the function as:…

Q: The growth model for a population of bacteria is given as P(t) = 50e2t where t is measured in days.…

A: Given: The growth model is  P(t) = 50e2t where t is measured in days. When P(t)= 25,000  find t

Q: The rate of increase of the population of a certain city is proportional to the population. In 1970,…

A:

Q: The demand for butter in Mexico for a particular year can be estimated by the general functionln q =…

A: lnq=D-0.47lnp Differentiating with respect to p, we get…

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A:

Q: The number N of bacteria in a culture at time t (in hours) grows exponentially according to the…

A: Given Data: Growth Function: Nt=1000e0.01t ......1 (a) Substitute 0 for t in equation (1).…

Q: The growth rate of Escherichia coli, a common bacterium found in the human intestine, is…

A: (a) Given: The initial population is 500. The number of cells in a culture doubles approximately…

Q: radioactive isotope decays in such a way that the number of atoms present ven time, N(t), obeys the…

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: When the price of a book is $125, a book store can expect to sell 600 books. If the price rises to…

A:

Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: Given: Initial value, R0=1400 counts/min Ending value, R = 1000 counts/min Time that has passed, t =…

Q: The doubling period of a bacterial population is 10 minutes. At time t = 120 minutes, the bacterial…

A: Given:The doubling period of a bacterial population is 10 minutesAt t=120 minutes , bacterial…

Q: A population of mites growsat a rate proportional to the number present, y. If the growthconstant is…

A: Assume population at time t is p Let f(t)=population at time t=p

Q: new

A: Please refer to the image below

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A:

Q: A population of bacteria is initially 3900. After 4 hours the population is 1300. If this rate of…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: A species of rabbits has a growth rate of 0.625 a month. If a population of foxes inhabits the same…

A: Given Growth rate of rabbits = 0.625 a month Foxes kills 10 rabbit per day

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: Please see the below picture for detailed solution.

Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: Given: A potato initially has a temperature of 75 degrees and the oven is preheated to 375 degrees.…

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: We are given that: The radioactive element decays at rate 5% annually and there are 40 g substance…

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

A:

Q: A colony of fruit flies grows at a rate proportional to its size. At time t = 0, approximately 20…

A: Let the population of fruit flies be modelled by function y.  The question mentions that the rate is…

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A: The amount remaining after hours 24 hours is 88.5 milligrams.

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

A:

Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: At initial the quantity of the substance is Ro = 1400 counts/minute.   At time t = 15 days   The…

Q: (a) A kitchen sink has a volume of 15 L. If the drain is closed and the sink is initially empty,…

A:

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

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Q: The doubling period of a bacterial population is 10 minutes. At time t=90 minutes, the bacterial…

A: Given the doubling time of a bacterial population t = 10 Using a formula P=P0 er t…

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

Q: IfI represents the intensity of light which has penetrated water to a depth of x feet, then the rate…

A:

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

A:

Q: The growth rate of Escherichia coli, a common bacterium found in the human intestine, is…

A: Given The number of cells doubles every 30 minutes. A) Initial Population =1000 B) Initial…

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

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Q: The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial…

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Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

A:

Q: The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured…

A: The number of bacteria in a culture is given by n(t) = 950e^{0.45t}e0.45t

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: To determine a function P(t) that models the number of bacteria after t minutes.

Q: The doubling period of a bacterial population is 1010 minutes. At time t=90t=90 minutes, the…

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Q: Initially 48 grams of radioactive substance was present. After 6 hours the mass had decreased by…

A:

Q: Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Initial radium quantity Ni = 100 mg after t = 100 years N = 96 mg

Q: Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A:

Q: A culture initially has N0 number of bacteria. At time t = 1 hour the number of bacteria is measured…

A:

Q: The rate of investment is given by I (t) = 5vt. Calculate the capital growth between the 4th and the…

A:

Q: the value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in…

A: