Recall solving the linear system dx1 50* dt dx, 75*2 = - dt 50 dx. dt using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x, (t), x,(t),...


Recall solving the linear system<br>dx1<br>50*<br>dt<br>dx,<br>75*2<br>=<br>-<br>dt<br>50<br>dx.<br>dt<br>using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) in the connected mixing tanks A, B, and C shown in the figure.<br>pure water<br>4 gal/min<br>B<br>C<br>200 gal<br>150 gal<br>100 gal<br>mixture<br>mixture<br>mixture<br>4 gal/min<br>4 gal/min<br>4 gal/min<br>(a) Use the eigenvalue method of this section to solve the system subject to x,(0) = 20, x,(0) = 15, x3(0) = 1o.<br>X1(t) =<br>x(t) =<br>X3(t) =<br>(b) What are lim x,(t), lim x,(t), and lim x,(t)?<br>t- 00<br>t- 00<br>t- c0<br>lim x,(t)<br>lim x2(t) =<br>lim x3(t) =<br>Interpret this result.<br>This means eventually tank A will contain<br>--Select---<br>, tank B will contain --Select--<br>, and tank C will contain ---Select---<br>Need Help?<br>Read It<br>Watch It<br>Master It<br>

Extracted text: Recall solving the linear system dx1 50* dt dx, 75*2 = - dt 50 dx. dt using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) in the connected mixing tanks A, B, and C shown in the figure. pure water 4 gal/min B C 200 gal 150 gal 100 gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min (a) Use the eigenvalue method of this section to solve the system subject to x,(0) = 20, x,(0) = 15, x3(0) = 1o. X1(t) = x(t) = X3(t) = (b) What are lim x,(t), lim x,(t), and lim x,(t)? t- 00 t- 00 t- c0 lim x,(t) lim x2(t) = lim x3(t) = Interpret this result. This means eventually tank A will contain --Select--- , tank B will contain --Select-- , and tank C will contain ---Select--- Need Help? Read It Watch It Master It

Jun 05, 2022
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