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Do the following dynamic simulation problem:
1. The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N. Competition for food causes deaths from starvation at a rate of bN^2 . Simulate the population growth assuming:
a. a = 0.05
b. b = 0.00001
c. N = 500 at time t=0
2. Assume in problem 1 that a second species exists in the same space subject to a1=0.04, b1=0.000015, and N1=1,000 at time t=0. However interspecies fighting causes deaths to both species at a rate that is 0.000001 times the product of their numbers (0.000001N(N1) ). Extend the model to plot the population dynamics for both species.
Suppose that a batch of 100 items contains 6 that are defective and 94 that are nondefective. If X is the number of defective items
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..
Differentiate the function f(x) =
Find p-value and interpret its meaning
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
Find the probability on poisson distribution.
The strategy that maximizes the campus bookstore earnings.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
Concern the region bounded by: Find the volume of the solid obtained by rotating the region around the y-axis
The instructions are as follows: write each equation in slope-intercept form and then find the slope and y-intercept.
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