has hit a city. The percentage of the population infected t days  after the disease arrives is approximated by p ( t ) = 11t e -t / 6 for 0 ≤ t ≤ 30. After how many days is the percentage of infected people a maximum? What is the maximum percent of the population infected? The percentage of infected people reaches a maximum after how many days

Q: VIII. Suppose that t hours after the injection of x milligrams of adrenalin the response is R units,…

A: Given R=te-tc-xx

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A:

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A: Given that  P(t)=121+(t-8)e^(0.02t) To find  the following

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A: The reaction R related to x R(x) = x2(300 -x3) To find the sensitivity.

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: Under certain conditions, the number of diseased cetls N(t) at time t increases at a rate N'(t) = A…

A: Rate at which number of diseased cells N(t) are increasing at time t is given by N'(t)=Aekt.…

Q: 75. CAS Antibiotic Levels A study shows that the concentration C(t) (in micrograms per milliliter)…

A: Given: We are also given that C(t) has a maxima at t=1. Now at local maxima:

Q: ;A species of rabbits has a growth rate of 0.5/ month. If a population of foxes inhabits the same…

A: Given :   dPdt=0.5P-150 Because Number of kills per day =5 Then Number of kills per month=150 Now,…

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A:

Q: A tank initially contains 100 L of a mixture with 50 g of a chemical in it. Solution flows into the…

A:

Q: Given the function こx (x+2)(x-2) yl"=-6x(x²-ax+4) (x+a)³ (X -1)³ 3. with 3 Complete the first deri…

A:

Q: The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to…

A: Since R(x) is a product of two functions, we can find the derivative by using the product Rule.

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A: Given,R=5.0-0.03T3+10T+10for maximum…

Q: 1. A lake polluted by bacteria is treated with an antibacterial chemical. After t days, the number N…

A: For the maximum or minimum, we need to find N'(t) and evaluate the values of t for which N'(t) = 0

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A:

Q: At time t = 0, a tank contains 15 oz of salt dissolved in 50 gallons of water. Then brine containing…

A: (a) To find amount of salt in the tank at an arbitary time. (b)To find amount of salt in the tank…

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A: What is Runge Kutta Method: Runge-Kutta approximation is a tool that is used to approximate an…

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A: The rate of chemical reaction r(t)=e-t For the time interval 0≤t≤T Amount of chemical produced…

Q: Fund A of $ 5,000 grows with an instant interest rate of St =1/(12-t) for 0 <t <12. B fund of $…

A: Given, δt=112-t for 0&lt;t&lt;12 In case of A: Principal(P)=$5000 Time=11 Then the interest rate (r)…

Q: For some positive constant C, a patient's temperature change, T, due to a dose D, of a drug is given…

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Q: uaquim's starting salary at a company is $42,000 per year. On average, employees receive a 6.5%…

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Q: 29. The fuel efficiency F for a particular car is given by F(x) = -0.016 x² + 1.44 x + 1.2, where x…

A:

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 122+…

A: The number of visitors P in a given-week over a 1-year period is given by- P(t)=122+(t-81)e0.02t…

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A:

Q: contains 60 gallons of pure water. A mixture consisting of 1 pound of salt per gallon is flowing…

A: Given that a tank contains 60 gallons of pure water. A mixture consisting of 1 pound of salt per…

Q: Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t…

A: Given- Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical.…

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Q: A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) =…

A:

Q: Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is…

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Q: Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t…

A: Given query is to find the population or bacteria at different time.

Q: 1. The effectiveness of studying for an exam depends on how many hours a student studies. For a…

A:

Q: Find the positive critical point of the function ?(?) = x / x^4 + 4

A: Solution

Q: 1. The population in thousands of people of a small town can be modeled by the function P(t) = x 2 -…

A:

Q: A horse is stuck on a merry-go-round moves in such a way that its height (in meters) above the floor…

A: Given: A horse is stuck on a merry-go-round moves in a such way that its height above the floor is…

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A: The concentration of the solution is obtained by dividing the amount of chemical in the tank by the…

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A: We have to write the formula for C'(x) and find the variable cost.

Q: An animal population currently has 7400 members and is reproducing at a rate of R(t) = 2270 + 50t…

A:

Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to…

A: We are given the following information. The population has been divided into three categories:…

Q: A chemical reaction produces a desired chemical at a rate of r(t) = e-t grams per second at time t 2…

A: Given that: Rate of chemical produced: r(t) = e-t. Neet to find the amount of chemical at indicated…

Q: K- Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: f(x)=(x^2+10x+1)e^-x Find the critical points and determine whether it is a local maximum, local…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: A population of insects currently numbers 22,100 and is increasing at a rate of  R(t) = 1237e0.15t…

A:

Q: Under certain​ conditions, the number of diseased cells​ N(t) at time t increases at a rate…

A:

Q: Using the f(x) = 2e* + x. Re-write the g(x) by isolating x. Start the initial guess is here is %3D…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Since, the function is given by- Ct=4e-0.2t-e-0.4t We know that for the function to be minimum or…

Q: According to a certain estimate, the depth N(t), in centimeters, of water in a given tank at t hours…

A: Use derivative test method to find maximum depth.

Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

A: Hence,  the population of insects after 3 days will be 682.25 =&gt; i.e. approximately 682 insects…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.