Question

An important concern in the study of heat transfer is to determine the steady-state temperature distribution of a thin plate when the temperature around the boundary is known. The figure represents a cross section of a metal beam, with negligible heat flow in the direction perpendicular to the plate. Let T1, ..., T4 denote the temperatures at the four interior nodes of the figure. The temperature at a node is approximately equal to the average of the four nearest nodes—to the left, above, to the right, and below. Solve the system of equations below to find the temperatures T1, ..., T4. 4T1 - T2 - T4 = 40 -T1 + 4T2 - T3 = 65 - T2 + 4T3 - T4 = 75 -T1 - T3 + 4T4 = 50 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The unique solution of the system is ( , , , ). (Type integers or decimals rounded to the nearest thousandth as needed.)

          An important concern in the study of heat transfer is to determine the steady-state temperature distribution of a thin plate when the temperature around the boundary is known. The figure represents a cross section of a metal beam, with negligible heat flow in the direction perpendicular to the plate. Let T1, ..., T4 denote the temperatures at the four interior nodes of the figure. The temperature at a node is approximately equal to the average of the four nearest nodes—to the left, above, to the right, and below. Solve the system of equations below to find the temperatures T1, ..., T4.

4T1 - T2 - T4 = 40
-T1 + 4T2 - T3 = 65
- T2 + 4T3 - T4 = 75
-T1 - T3 + 4T4 = 50

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A. The unique solution of the system is ( , , , ).
(Type integers or decimals rounded to the nearest thousandth as needed.)

An important concern in the study of heat transfer is to determine the steady-state temperature distribution of a thin plate when the temperature around the boundary is known. The figure represents a cross section of a metal beam, with negligible heat flow in the direction perpendicular to the plate. Let T1, ..., T4 denote the temperatures at the four interior nodes of the figure. The temperature at a node is approximately equal to the average of the four nearest nodes—to the left, above, to the right, and below. Solve the system of equations below to find the temperatures T1, ..., T4.

4T1 - T2 - T4 = 40
-T1 + 4T2 - T3 = 65
- T2 + 4T3 - T4 = 75
-T1 - T3 + 4T4 = 50

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A. The unique solution of the system is ( , , , ).
(Type integers or decimals rounded to the nearest thousandth as needed.)

Added by Ann P.

Question

Please give Ace some feedback