A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt = 0.01282(1000 − x), x(0) = 1.  where x(t) represents the number of people infected at time t. Separating variables, Find the number of people x(t) who have contracted the disease at the time of time t.

Q: n evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth…

A: Given query is to find the solution of the differential equation.

Q: A large tank contains 50 gallons of water into which 5 pounds of salt has been dissolved. A solution…

A:

Q: A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4…

A: (a) From the given information, the initial size of the bacteria is N0=560. It is known that, the…

Q: A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/600 tons per week,…

A:

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04…

A:

Q: A population of fish is modeled by the equation dP/dt = .00016P(1300-P)+20 with an initial…

A: Roots of quadratic equation Plotting of graph of Quadratic equation with the help of roots. Basic…

Q: A culture of bacteria grows according to the continuous growth model B = f(t) = 400e0.05t where B is…

A:

Q: The rate of change of the average annual fuel consumption of passenger vehicles, buses, and trucks…

A: Given that,   The rate change of the average annual fuel consumption of passenger vehicle, buses and…

Q: Suppose that a company's monthly profit depends on the number of units sold that month according to…

A:

Q: f(x)= -2x2 + 3 from x = 2 to x = 5 Average rate of change =

A: