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3. The array below represents the temperatures (in degrees Fahrenheit) of certain points on the interior and boundary of a metal plate: 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)

3. The array below represents the temperatures (in degrees Fahrenheit) of certain points on the interior and boundary of a metal plate: 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. interior and boundary of a metal plate: The array below represents the temperatures (in degrees Fahrenheit) of certain points on the 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)
Transcribed Image Text:3. interior and boundary of a metal plate: The array below represents the temperatures (in degrees Fahrenheit) of certain points on the 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)
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