Question: 1. (5 pts) Consider two interconnected tanks as shown below. Tank 1 initially contains 300 gal of water with 3 lb of salt, and Tank

1. (5 pts) Consider two interconnected tanks as shown below. Tank 1 initially contains 300 gal of water with 3 lb of salt, and Tank 2 initially contains 500 gal of water with 6 1b of salt. Water containing 0.4 1b/gal of salt flows into Tank 1 at a rate of 5 gal/min. The well stirred mixture in Tank I flows into Tank 2 at a rate of 8 gal/min. The well stirred mixture in Tank 2 leaves the tank at a rate of 4 gal/ min and flows back into Tank 1 at a rate of 6 gal/ min. Let Qi(t) and Q2(t) denote the amounts of salt (in lb) in Tank 1 and Tank 2 at time t in minutes. Let Vi(t) and Vz(t) denote the volumes of solutions (in gal) in Tank 1 and Tank 2 at time { in minutes. Set up the initial value problem satisfied by Q1(t) and Q2(t) describing the mixing process. (Show your work to get a full credit) Tank 1 Tank 2 VI(t) = VI(0) = V2 (t) = V2(0) = Qi (t ) = Q1 (0) = Q2 (t) = Q2(0) =

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