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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.
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31
A manufacturing company has 10 machines in continous operation during a workday. The probability that an individual machine will break down during the day is .10
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
Multiple regression equation
Important information about Find the probabilities, Suppose a family plans 6 children, and the probability that a particular child is a girl is ½.
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
Economics : Equations, Quantity and Profit, A company manufacturers and sells a product. The estimated demand and cost functions are as below
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
Find the slope and y intercept of the line. Graph the line 7x-5y=35. Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4
Show that |Cos(x+iy)|==0 and minus infinity
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