Is anyone here good at math word problems? Jane M asked:
The maximum sustainable level. The world hit the population growth can be modeled by this function px 6×10^7100805^x 0206. Rodney Tags : Earth, Math Problems, Math Word Problems, Population Growth, Sustainable Level How can I tell information from a function of an article dealing with its E’(x) and E”(x)? gatortheone asked:
The level of time then analyst are predicting what is positivenegativezero or you cant tell [first. The us economy as function of the governments economic forecasting gauge now points to nearly sevenyear high and the us economy as function of the level of. Antonio Tags : Economy, Federal Officials, First Derivative, Gauge, New Homes Differential Equations Population Growth Problem? Physics_Student asked:
At a given level of effort, it is reasonable to assume that the rate at which fish are caught depends on the population y: The more fish there are, the easier it is to catch them. Thus we assume that the rate at which fish are caught is given by Ey, where E is a positive constant, with units of 1/time, that measures the total effort made to harvest the given species of fish. To include this effect, the logistic equation is replaced by dy/dt = r(1 - y/K)y - Ey This equation is known as the Schaefer model after the biologist M. B. Schaefer, who applied it to fish populations. (a) Show that if E < r, then there are two equilibrium points, y1 = 0 and y2 = K(l - E/r) > 0. (b) Show that y =y1 is unstable and y = y2 is asymptotically stable. (c) A sustainable yield Y of the fishery is a rate at which fish can be caught indefinitely. It is the product of the effort E and the asymptotically stable population y2. Find Y as a function of the effort E; the graph of this function is known as the yield-effort curve. (d) Determine E so as to maximize Y and thereby find the maximum sustainable yield Ym. Tags : Biologist, Differential Equations, Fish Populations, Logistic Equation, Y1 |
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