A study of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters.† In 1994, the stocks were 218 million. (This is the number you will use for the initial population N(0).) The carrying capacity is 5089 million oysters. The intrinsic exponential growth rate is 0.274 per year. (a) Find a logistic model N(t) for the number, in millions, of market-sized oysters. Take t to be the time in years since 1994. (Rround all regression parameters to three decimal places.) N(t) =

Q: In 1985 the number of subscribers to basic cable was 9500 thousands.  This number of subscribers…

A: Step:-1 Part (A):- Logistic model Formula:- P(t)=k1+be-r t---- (1) k is the carrying capacity, and…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Given Information: The growth factor is 1.8 In the year 1983, about 1700 people in the US died of…

Q: According to U.S. world census data, the world population in 1995 was 5,690,865,776 with a natural…

A: Logistic Model: A logistic model is used to model the population growth. In this model, the growth…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Population growth is studied using the exponential growth model.

Q: A) The population of beavers in a valley doubled between the years 2000 and 2015. Assuming that the…

A: A) The exponential growth function is as follows. Nt=N0ert Let t=0 represents the year 2000 and t=15…

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

A: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

Q: Use the logistic growth model to predict the population of a species after three years given the…

A: Solution:

Q: Suppose variable Y measures financial ratings A : y = 1, B : y = 2, and C : y = 3, that is, the…

A: The random variable measures financial ratings  representing creditworthiness, where A is high, B…

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given information:  Cockroach population decrease by 18% in 12 years.…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.