Suppose that a population develops according to the logistic equation where t is measured in weeks. (a) What is the carrying capacity? (b) Is the solution increasing or decreasing when P is between 0 and the carriying capacity? ? (c) Is the solution increasing or decreasing when P is greater than the carrying capacity? ? dP ཝུ|རྩ = 0.2P 0.00026667P²

Suppose that in a logistic model the percentage growth rate G per year (in decimal form) as a function of N declines from G = 0.12 when N = 0 to G = 0 when N= 366. (a) What is the r value? r = (b) What is the carrying capacity? K = (c) At what value of N will there be a maximum growth rate? N = | Need Help? Read It

Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.

Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by u(t)=60+540g-0.073t (a) According to the model, when will the temperature of the pizza be 500°F? (b) According to the model, when will the temperature of the pizza be 310°F? (a) t= minutes (Do not round until the final answer. Then round to the nearest minute as needed.) w an example Textbook Clear all