Three large tanks contain brine, as shown in the figure below.pure water4 gal/minABCa galb galc galmixturemixturemixture4 gal/min4 gal/min4 gal/minUse the information in the figure to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) at time t in tanks A, B, and C respectively. (Assumea = 300, b = 150, and c = 50.)dx1dtdx2dt=dx3dtWithout solving the system, predict limiting values of x,(t), x,(t), and x3(t) as t → co.lim x,(t) =t- 00lim x,(t) =t- 00lim x3(t) = Show that a system of differential equations that describes the currents i, (t) and i,(t) in the electrical network shown in the figure below isdi,2 + L3 + R,i, = E(t)dtdtdigdiz+ R,-R,dt+= 0.dtiz R2LECUsing Kirchhoff's first law we have i, = i, + i,. By Kirchhoff's second law, on each loop we haveE(t) = Li,'+E(t) = Li,' +so that in terms of C, R,, R2, i, and i, we have the following.q =Theniz = q' = CR,i,' - CR,i,soLdt2 + Ldizdt+ Riz = E(t)+ K2 dt-R1dtdizdi3= 0.+

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Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A B a gal b gal c gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min Use the information in the figure to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x (t) at time t in tanks A, B, and C respectively. (Assume a = 300, b = 150, and c = 50.) dx1 %3D dt dx2. = dt dx 3 dt Without solving the system, predict limiting values of x,(t), x,(t), and x3(t) as t → co. lim x,(t) = lim x2(t) = t- 00 lim x3(t) t- 00

Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A B a gal b gal c gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min Use the information in the figure to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x (t) at time t in tanks A, B, and C respectively. (Assume a = 300, b = 150, and c = 50.) dx1 %3D dt dx2. = dt dx 3 dt Without solving the system, predict limiting values of x,(t), x,(t), and x3(t) as t → co. lim x,(t) = lim x2(t) = t- 00 lim x3(t) t- 00

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter29: Dc Generators

Section: Chapter Questions

Problem 1PA: You are working as an electrician in a large steel manufacturing plant, and you are in the process...

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