Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min dx₁ dt dx₂ dt dx3 dt = = Use the information in the figure to construct a mathematical model for the number of pounds of salt x₁(t), x₂(t), and x3(t) at time t in tanks A, B, and C respectively. (Assume a = 300, b = 250, and c = 100.) X1 75 lim x₂(t)=0 218 X lim x₂(t)=0 818 X A a gal ✓ mixture 4 gal/min ✓ B b gal mixture 4 gal/min Without solving the system, predict limiting values of x₁(t), x₂(t), and x₂(t) as t→→ ∞0. lim x₁(t) 0 818 e gal mixture. 4 gal/min

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