Explanation Given: T ( x ) = 50 cos ( π x 20 ) [ t 1 , t 2 ]=[0,10] Formula used: Average temperature= 1 t 2 − t 1 ∫ t 1 t 2 T ( x ) d x over the time period [ t 1 , t 2 ] Calculation: Average temperature= 1 t 2 − t 1 ∫ t 1 t 2 T ( x ) d x Put t 2 = 10 and t 1 = 0 = 1 10 − 0 ∫ 0

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.2, Problem 53E

To determine

To find: The average temperature over the wire of 10 cm if the temperature at each point x along the wire is $T (x) = 50 \cos (\frac{π x}{20})$ .

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Chapter 6.2, Problem 52E

Chapter 6.2, Problem 54E

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Chapter 6 Solutions

Calculus - Standalone book

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The average temperature over the wire of 10 cm if the temperature at each point x along the wire is T ( x ) = 50 cos ( π x 20 ) .

Solution Summary: The author calculates the average temperature over the wire of 10 cm if the temperature at each point is T (x) = 50 cos ( x 20 ).

Videos

To find: The average temperature over the wire of 10 cm if the temperature at each point x along the wire is $T (x) = 50 \cos (\frac{π x}{20})$ .

Want to see the full answer?

Chapter 6 Solutions

The average temperature over the wire of 10 cm if the temperature at each point x along the wire is T ( x ) = 50 cos ( π x 20 ) .

Solution Summary: The author calculates the average temperature over the wire of 10 cm if the temperature at each point is T (x) = 50 cos ( x 20 ).

Videos

To find: The average temperature over the wire of 10 cm if the temperature at each point x along the wire is T(x)=50cos(πx20).

Want to see the full answer?

Chapter 6 Solutions

To find: The average temperature over the wire of 10 cm if the temperature at each point x along the wire is $T (x) = 50 \cos (\frac{π x}{20})$ .