When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 1.1² -0.2r0.4+27, where t is the time in hours after 6 AM and f(t) is the number of barrels of fuel oil. Step 3 of 3: What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places. Answer Keypad Keyboard Shortcuts
When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 1.1² -0.2r0.4+27, where t is the time in hours after 6 AM and f(t) is the number of barrels of fuel oil. Step 3 of 3: What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places. Answer Keypad Keyboard Shortcuts
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
![**Problem Statement Transcription:**
**Question 1 of 14, Step 3 of 3**
When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula \( f(t) = 1.1t^2 - 0.2t^4 + 27 \), where \( t \) is the time in hours after 6 AM and \( f(t) \) is the number of barrels of fuel oil.
**Step 3 of 3:** What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places.
**Answer**
[Text box for input]
\[ \text{___ barrels per hour} \]
**Interface Explanation:**
- There is a "Submit Answer" button below the text box where you can enter your answer.
- On the right side of the page, there is a "Keyboard Shortcuts" section.
**Additional Notes:**
- The formula \( f(t) = 1.1t^2 - 0.2t^4 + 27 \) represents the fuel consumption model as a function of time.
- To calculate the average rate of consumption over the period, you would integrate \( f(t) \) from \( t = 0 \) (6 AM) to \( t = 9 \) (3 PM) and then divide by the total number of hours, which is 9 hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F492efe9f-0a9a-45cd-99ee-2fd493a23754%2F7baa1e81-aad4-43ff-879b-27c917d95427%2F39ctthm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement Transcription:**
**Question 1 of 14, Step 3 of 3**
When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula \( f(t) = 1.1t^2 - 0.2t^4 + 27 \), where \( t \) is the time in hours after 6 AM and \( f(t) \) is the number of barrels of fuel oil.
**Step 3 of 3:** What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places.
**Answer**
[Text box for input]
\[ \text{___ barrels per hour} \]
**Interface Explanation:**
- There is a "Submit Answer" button below the text box where you can enter your answer.
- On the right side of the page, there is a "Keyboard Shortcuts" section.
**Additional Notes:**
- The formula \( f(t) = 1.1t^2 - 0.2t^4 + 27 \) represents the fuel consumption model as a function of time.
- To calculate the average rate of consumption over the period, you would integrate \( f(t) \) from \( t = 0 \) (6 AM) to \( t = 9 \) (3 PM) and then divide by the total number of hours, which is 9 hours.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning