Spring 2007
Math 336
Logistic and Other Nonlinear Discrete Models - Solutions
1. a. Growth constant r = 0.09692. The general solution is given by Pn = 227(1.09692)n , where n is in decades after 1980. Populations in 2000 and 2020 are 273.1 and 328.6 milli
Spring 2007
Math 336
Discrete Systems Solutions
1. The transition matrix for red squirrels (Sciurus vulgaris L.), gray squirrels (Sciurus carolinensis Gmelin), both, or neither in that order is given by 0.8797 0.0382 0.0527 0.0008 0.0212 0.8002 0.0041 0.0
Spring 2007
Math 336
Take-Home Exam 1 Solutions
1. a. The payment is given by M= The total cost is given by T = 60M + 1000 = 16, 079.585. 0.06 13000(1.005)60 = 251.3264. 12 (1.005)60 1
b. A discrete dynamical model is given by Pn+1 = 1.005Pn 500. From Exc
1:?
Spring 200'? Math 336
Name lei: e
Give all answers to at least. 4 signicant gures. Be sure to include appropriate units for each
of your answers. Partial credit may be awarded for showing correct formulae or describing new you
obtained your answer
Spring 2007
Math 336
Linear and Nonautonomous Discrete Models - Solutions
1. a. From the breathing model, cn+1 = (1 - q)cn + q and the data c0 = 400, c1 = 352, and c2 = 310, we find the constants q and by substitution and the simultaneous solution of two
Spring 2007
Math 336
Discrete Models - Solutions
1. a. The best logistic growth model fitting the Oryzaephilus surinamensis, the saw-tooth grain beetle, data is given by
2 Pn+1 = 1.9615Pn - 0.0021893Pn = f (Pn ).
The sum of square errors for this model is
Mortgage Modeling report
Aymen Kirkuki
E-Mail:Aymenb.tech@gmail.com
Phone Number: (619)633-6367
Client Name: John Smith
Client phone number: (619)-777-2589
Client E-Mail: John.Smith@buyhome.com
Abstract:
The Idea of buying new home always been scary due t