I am having trouble understanding this relationship. Here this is a population model for the migration of animals in different regions. In this case c is the colonization rate (a postive constant) and p(t) is the proportion of geographical regions. The relation is shown in below, I am struggling to find the limit of p(t) as t is approaching infinity. dp/dt = cp(1-p)-p^2 p(0)=p_0 Any help would be greatly appreciated :

Question 10 Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. then the minimum is ▼ Suppose that f(x, y) = 4x¹ + 4y¹ - 2xy Question Help: Video Submit Question

Rocky Mountain Chocolate Factory (RMCF) founder and president Frank Crail employs 220 people in 361 outlets in the United States, Canada, United Arab Emirates, Japan, and South Korea. If RMCF purchases 22.5 kilograms of premium dark chocolate at $16.80 per kilo, what is the net price with a 10/5 chain discount? Note: Do not round intermediate calculations. Round your answer to the nearest cent. Net price

Question 5. The graph of the marginal revenue function from the sale of x digital sports watches is given in the figure. A) Using the graph shown, verbally describe the shape of the Revenue function R(x) as x increases from 0 to 1000. R'(x) 100 B) Find the equation of the marginal revenue function (the linear function shown in the figure). C) Find the equation of the revenue function that satisfies R(0) = 0. Graph the revenue function over the interval [0, 1000]. {Check the shape of the graph relative to the analysis in Part A} 500 1,000 - 100 D) Find the price - demand equation and determine the price when the demand is 700 units.