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Physicists know that if each edge of a thin conducting plate is kept at a constant temperature, then the temperature at the interior points is the mean (average) of the four surrounding points equidistant from the interior point. Use this principle in Exercise 69 to find the temperature at points x1, x2, x3, and x4. 32°F X1 X2 36°F | 40°F X3 X4 48°F Hint: Set up four linear equations to represent the temperature at points x1, x2, x3, and x4. Then solve the system. For example, one equation would be: (36 + 32 + x2 + x3)

Physicists know that if each edge of a thin conducting plate is kept at a constant temperature, then the temperature at the interior points is the mean (average) of the four surrounding points equidistant from the interior point. Use this principle in Exercise 69 to find the temperature at points x1, x2, x3, and x4. 32°F X1 X2 36°F | 40°F X3 X4 48°F Hint: Set up four linear equations to represent the temperature at points x1, x2, x3, and x4. Then solve the system. For example, one equation would be: (36 + 32 + x2 + x3)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 87E
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Physicists know that if each edge of a thin conducting plate is kept at a constant temperature, then the temperature at the interior points is the mean (average) of the four surrounding points equidistant from the interior point. Use this principle in Exercise 69 to find the temperature at points x1, x2, x3, and x4. 32°F X1 X2 36°F | 40°F X3 X4 48°F Hint: Set up four linear equations to represent the temperature at points x1, x2, x3, and x4. Then solve the system. For example, one equation would be: (36 + 32 + x2 + x3)
Transcribed Image Text:Physicists know that if each edge of a thin conducting plate is kept at a constant temperature, then the temperature at the interior points is the mean (average) of the four surrounding points equidistant from the interior point. Use this principle in Exercise 69 to find the temperature at points x1, x2, x3, and x4. 32°F X1 X2 36°F | 40°F X3 X4 48°F Hint: Set up four linear equations to represent the temperature at points x1, x2, x3, and x4. Then solve the system. For example, one equation would be: (36 + 32 + x2 + x3)
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