Suppose that  dP dt  = 0.19P(t)  represents a mathematical model for the growth of a certain cell culture, where  P(t)  is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing (in millions of cells per hour) at the time t when the size of the culture reaches 3 million cells? 0.38      million cells per hour

Q: The population of a certain inner-city area is estimated to be declining according to the model P(t)…

A: The given problem is to predict the population after 15years with the given model. Given model…

Q: (d) At what time will there be 16 grams of substance Br years (e) of which substance is there less…

A: B(t) = 16

Q: The average cost of a year at a private four-year college grew exponentially from $21,855 in 2000 to…

A: "t" years later the cost function become C(t)=abt . Therefor,  abt=21,855 . After 10 years , in…

Q: The logistic model can also be changed by incorporating a constant continuous rate of decrease, such…

A: Consider the given equation. dPdt=kP1-PA-H Put x=PA in the above equation. dxdt=1AdPdt Put all the…

Q: A population of 200 bass released in a lake began growing at a rate of 100 fish/yr. A second…

A:

Q: The half life of cesium - 137 is 30 years. Suppose we have a 20-gram sample. find a function…

A: Because mass is reducing with time, so  dmdt=-km where negative sign indicates that m is reducing…

Q: 1. A lynx population can be modeled by the function f(t) = 15,000/(1 + 3e), where t is time measured…

A: Given, f(t)= 15000/(1+3e-0.08t) t=0 corresponds to 1985

Q: 4) A culture initially has Po number of bacteria. At t = 1 the number of bacteria is measured to be…

A: Given that initially, number of bacteria present in the culture is P0 At t=1, number of…

Q: The formula for exponential growth is Q(t)3DQoekt. Q+= Q•e* a(0):150nc a Q L):50c °,95al 0,95k4…

A: a).

Q: The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R(t) =…

A: Given the revenue function as, Rt=41e0.094t, where t is the time in years.( t=0 represents the…

Q: The mass at time t of a radioactive substance is m(t) = m(0)ekt, where m(0) is the initial mass and…

A:

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per…

A:

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

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