The tube cross-section shown has inner radius of 3 cm and outer radius 6 cm and within the tube water is maintained at a tempera- ture of 100°C. Within the metal the temperature falls off at a rate dT -20 according to where x is the distance from the metal dx x0.63 central axis O and 3

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Chapter1: Functions And Models
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The tube cross-section shown has inner radius of 3 cm and outer
radius 6 cm and within the tube water is maintained at a tempera-
ture of 100°C. Within the metal the temperature falls off at a rate
dT
-20
metal
according to
dx
x0.63
where x is the distance from the
central axis O and 3<x < 6.
Find the temperature of the outer surface of the tube.
Transcribed Image Text:The tube cross-section shown has inner radius of 3 cm and outer radius 6 cm and within the tube water is maintained at a tempera- ture of 100°C. Within the metal the temperature falls off at a rate dT -20 metal according to dx x0.63 where x is the distance from the central axis O and 3<x < 6. Find the temperature of the outer surface of the tube.
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