Water is pumped into a system of pipes at points P1 and Pz

Chapter , Problem 18

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Water is pumped into a system of pipes at points P1 and Pz shown in Figut'C 2.6. AI each of the junctions P ;. 1'4. Ps. 1'6. P1. and P~. the pipes are split and water flows according to the portions indicated in the diagram. Suppose that w:tter flow; into P 1 and 1'2 at p and q gallons per minute. respectively. and flows out of />9 P10 and P11 at the rates of a. b. and c gallons per minute. respectively. Find a matrix M such that the vector of outputs is given by p}~

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