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 offish. To include this effect, the logistic equation is replaced bydy/dt=r(1−y/K)y−Ey.(i)This equation is known as the Schaefer model after the biologist M. B. Schaefer, who applied it to fish populations.(a) Show that ifE0.(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.

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

An ulcer medication has 300 milligrams in 2 tablets. how many milligrams are in 3 tablets?

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?