Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum Lg. Lg = 0 help (numbers) (b) Compute the right Riemann sum Rg. Rg = 0 help (numbers) (c) Compute the average value of L9 and Rg. Average value -help (numbers) (d) Compute the area under the graph of f. Area help (numbers)
Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum Lg. Lg = 0 help (numbers) (b) Compute the right Riemann sum Rg. Rg = 0 help (numbers) (c) Compute the average value of L9 and Rg. Average value -help (numbers) (d) Compute the area under the graph of f. Area help (numbers)
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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![### Problem:
Consider the function \( f(x) = 4 - |x| \) defined on the interval \([-4, 4]\).
#### (a) Compute the left Riemann sum \( L_g \).
- \( L_g = \) [Input box] [help (numbers)]
#### (b) Compute the right Riemann sum \( R_g \).
- \( R_g = \) [Input box] [help (numbers)]
#### (c) Compute the average value of \( L_g \) and \( R_g \).
- Average value \( = \) [Input box] [help (numbers)]
#### (d) Compute the area under the graph of \( f \).
- Area \( = \) [Input box] [help (numbers)]
### Instructions:
For each part, calculate the values and fill in the input boxes. Use the provided help if you need assistance with numerical calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7dcbfcd-ec40-4419-b8e9-2a693a942e70%2F548e60cd-ca22-4dad-8be1-5d912406aff9%2F438oe3c_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem:
Consider the function \( f(x) = 4 - |x| \) defined on the interval \([-4, 4]\).
#### (a) Compute the left Riemann sum \( L_g \).
- \( L_g = \) [Input box] [help (numbers)]
#### (b) Compute the right Riemann sum \( R_g \).
- \( R_g = \) [Input box] [help (numbers)]
#### (c) Compute the average value of \( L_g \) and \( R_g \).
- Average value \( = \) [Input box] [help (numbers)]
#### (d) Compute the area under the graph of \( f \).
- Area \( = \) [Input box] [help (numbers)]
### Instructions:
For each part, calculate the values and fill in the input boxes. Use the provided help if you need assistance with numerical calculations.
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Follow-up Question
it says the area under the graph of f is wrong
![Consider the function f(x) = 4 − |x| defined on [-4, 4].
(a) Compute the left Riemann sum Lg.
Lg 15.8024 help (numbers)
(b) Compute the right Riemann sum Rg.
Rg 15.8024 help (numbers)
(c) Compute the average value of Lg and R9.
Average value = 15.8024 help (numbers)
(d) Compute the area under the graph of f.
Area 15.8024 help (numbers)
(e) Compare the two values found in (c) and (d).](https://content.bartleby.com/qna-images/question/d7dcbfcd-ec40-4419-b8e9-2a693a942e70/e08b701f-bfb0-43b9-86ba-65883a62ba96/w50mu6s_thumbnail.png)
Transcribed Image Text:Consider the function f(x) = 4 − |x| defined on [-4, 4].
(a) Compute the left Riemann sum Lg.
Lg 15.8024 help (numbers)
(b) Compute the right Riemann sum Rg.
Rg 15.8024 help (numbers)
(c) Compute the average value of Lg and R9.
Average value = 15.8024 help (numbers)
(d) Compute the area under the graph of f.
Area 15.8024 help (numbers)
(e) Compare the two values found in (c) and (d).
Solution
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