A certain community consists of 3600 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by A=36001+3599e−0.25tA=36001+3599e-0.25t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 7 days? Round your answer to the nearest whole number. (b) What is the carrying capacity for this model? (c) How many days will it take for 500 people to contract the flu? Round your answer to the nearest whole number

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A: Make some simplification and rearrange the given differential in exact form.

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Q: A large tank originally contains 1000 litres in which 5 kilograms of salt is dissolved. Pure water…

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Q: Solve the given initial-value problem.

A: Given,            X'=1201-12X,  X(0)=49

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Q: 2. a) Use the Trapezoid Rule to estimate the value of: [V10-7e-03x dx. Letn=6. x |f (x) Round each f…

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Q: Solve the Initial value problem x' -x=8(t-2),x(0) =x' (0) =0

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Q: 1. A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

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Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: Solve the initial-value problem for æ as a function of t . de = 3, x(2) = 0 (2t° – 2t? + t – 1

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Q: Q2 find the optimal solution of the first stage (Phase I only) of the prime LP: Minz = 2x, + x2 s.t…

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Q: FIND THE GENERAL SOLUTION OF THE D.E.

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Q: What happens to N(t)=100x e^(5t) as t → infinity? Based on your answer would you consider this a…

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Q: Solve the initial-value problem for a as a function of t. (t2 - 5t + 4) d.x = 1, (t > 4, x(5) = 0)…

A: Givent2−5t+4dxdt=1(t>4,x(5)=0) we have to solve initial value problem t2−5t+4dxdt=1 By separating…

Q: (x² + 4) dy 山 3. y(2) = 0

A: we know that ∫dxx2+a2=1atan-1xa+C,  where a>0 see below the answer and calculation

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A: Given: The initial-value problem, x1'=2x1-x2-4x3+2e-t x2'=2x1-4x3+3e-t x3'=x2-2x3+e-t such that…

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A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

Q: Find f by solving the initial-value problem. f'(x)=6/(x)1/2 , f(1)=19

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Q: Find the general solution of xy²dx = e

A: By using variable and separation method

Q: Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

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Q: 4. Solve the IVP: d's t3, s(0) = 3,s'(0) = -8 dt2

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Q: Solve the Bernoulli's DE: y' = y - xy3e2X.

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Q: A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga…

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Q: Solve the initial-value problem for yy as a function of xx. (64−x2)dydx=1,y(0)=5(64-x2)dydx=1,y(0)=5

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Q: Find an explicit solution of the given initial-value problem. dx - = 7(x²+1), x(77) = 1 - dt x = tan…

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Q: Find the initial value of f(t), if: 2(s + 2) s(s + 1)(s + 3) F(s) = -

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Q: 2. Find the solution of the initial value problem and describe its behavior as t ∞ 9. 了, -1 -3 ) 7()…

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Q: The equation of motion of an object of mass m, with initial velocity v(0) = 0, falling in air at a…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!