Now the pilot activates the burner for 10 seconds. This action affects the temperature in a 12-foot- wide column 20 feet high, directly above the burner. A cross section of the balloon depicting this column in shown in the following figure. 20 ft ΖΑ 44 ft 28 ft 12 ft | Figure 5.63 Activating the burner heats the air in a 20-foot-high, 12- foot-wide column directly above the burner. Assume that after the pilot activates the burner for 10 seconds, the temperature of the air in the column described above increases according to the formula H(r,0,2) -2:- 48. Then the temperature of the air in the column is given by T₁(1,0,2)= 2-r 10 +210+(-2-48), while the temperature in the remainder of the balloon is still given by 2-r To(7,0,2)= +210. 10 3. Find the average temperature of the air in the balloon after the pilot has activated the burner for 10 seconds.
Now the pilot activates the burner for 10 seconds. This action affects the temperature in a 12-foot- wide column 20 feet high, directly above the burner. A cross section of the balloon depicting this column in shown in the following figure. 20 ft ΖΑ 44 ft 28 ft 12 ft | Figure 5.63 Activating the burner heats the air in a 20-foot-high, 12- foot-wide column directly above the burner. Assume that after the pilot activates the burner for 10 seconds, the temperature of the air in the column described above increases according to the formula H(r,0,2) -2:- 48. Then the temperature of the air in the column is given by T₁(1,0,2)= 2-r 10 +210+(-2-48), while the temperature in the remainder of the balloon is still given by 2-r To(7,0,2)= +210. 10 3. Find the average temperature of the air in the balloon after the pilot has activated the burner for 10 seconds.
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...
Related questions
Question
I calculated the temperature before the start of the burner to be 209.9 but not sure how to get the temperature after the 10s
![Now the pilot activates the burner for 10 seconds. This action affects the temperature in a 12-foot-
wide column 20 feet high, directly above the burner. A cross section of the balloon depicting this
column in shown in the following figure.
20 ft
ΖΑ
44 ft
28 ft
12 ft
|
Figure 5.63 Activating the burner heats the air in a 20-foot-high, 12-
foot-wide column directly above the burner.
Assume that after the pilot activates the burner for 10 seconds, the temperature of the air in the
column described above increases according to the formula
H(r,0,2) -2:- 48.
Then the temperature of the air in the column is given by
T₁(1,0,2)=
2-r
10
+210+(-2-48),
while the temperature in the remainder of the balloon is still given by
2-r
To(7,0,2)=
+210.
10
3. Find the average temperature of the air in the balloon after the pilot has activated the burner for 10
seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88da6e92-4a72-4d9e-83d6-d1520c2651cd%2Ff3046972-30ad-438f-8217-37f08d848353%2Ftd7ubho_processed.png&w=3840&q=75)
Transcribed Image Text:Now the pilot activates the burner for 10 seconds. This action affects the temperature in a 12-foot-
wide column 20 feet high, directly above the burner. A cross section of the balloon depicting this
column in shown in the following figure.
20 ft
ΖΑ
44 ft
28 ft
12 ft
|
Figure 5.63 Activating the burner heats the air in a 20-foot-high, 12-
foot-wide column directly above the burner.
Assume that after the pilot activates the burner for 10 seconds, the temperature of the air in the
column described above increases according to the formula
H(r,0,2) -2:- 48.
Then the temperature of the air in the column is given by
T₁(1,0,2)=
2-r
10
+210+(-2-48),
while the temperature in the remainder of the balloon is still given by
2-r
To(7,0,2)=
+210.
10
3. Find the average temperature of the air in the balloon after the pilot has activated the burner for 10
seconds.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning