(a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? Tave = 23.5 °C (b) Explain why there must be a point on the bar where the temperature is the same as the average, and find it. [Let x be the distance along the bar from zero.] x = 9.5 m along the bar.
(a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? Tave = 23.5 °C (b) Explain why there must be a point on the bar where the temperature is the same as the average, and find it. [Let x be the distance along the bar from zero.] x = 9.5 m along the bar.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Entered
Answer Preview
Result
23.5
23.5
correct
9.5
9.5
incorrect
At least one of the answers above is NOT correct.
(a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the
other end. Assuming that the temperature increases linearly from the cooler end to
the hotter end, what is the average temperature of the bar?
Tave =
23.5
°C
(b) Explain why there must be a point on the bar where the temperature is the same
as the average, and find it. [Let x be the distance along the bar from zero.]
x =
9.5
m along the bar.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe4f043a-40ec-446c-a7ff-f52648c59722%2Fc59eff00-88ba-47b7-9277-4f89a6285c0d%2Fbbc0g1i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Entered
Answer Preview
Result
23.5
23.5
correct
9.5
9.5
incorrect
At least one of the answers above is NOT correct.
(a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the
other end. Assuming that the temperature increases linearly from the cooler end to
the hotter end, what is the average temperature of the bar?
Tave =
23.5
°C
(b) Explain why there must be a point on the bar where the temperature is the same
as the average, and find it. [Let x be the distance along the bar from zero.]
x =
9.5
m along the bar.
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