# Theorem 2 gives the tâ€¦ Show more ) Write the coefficient o

Theorem 2 gives the tâ€¦ Show more ) Write the coefficient of the term x2y4z5 expansion of (x + y + z) ^ 11 2) Theorem 2 gives the transitive closure of a relation. Since MR is a 4 x 4 matrix for this problem we have MR * = MR MR 2 MR 3 MR 4 which is also frequently written as MR * = MR + MR 2 + MR 3 + MR 4 (where the + is Boolean addition) 3) Make up a meaningful network example. In the notes I have given you several different %u201Cflow models%u201D. Your project does not have to mimic one of these. Try to make it different than those presented in the notes. a) Your example must be well defined. Define the problem clearly. b) Your example should involve solving a system of equations with an infinite number of solutions. c) Solve your system of equations any way you wish, but describe your solutions clearly. d) Explain your results with two or three examples. That is, Compute the flow when the free variable are specific numbers. e) Interpret your results. Do they make sense? Do negative values make sense? f) Should there be a maximum capacity for each edge? If so, make up some reasonable maximum capacity for each edge. â€¢ Show less

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