4 Evaluate 9x - 7x dx by taking the limit of a Riemann sum using right-hand endpoints and then find the average value of f(x) = 9x - 7x on the interval [0,4]. .. (a) We start by partitioning the interval into n subintervals of equal length Ax. where Ax = (b) Let c denote the right-hand endpoint of the kth subinterval. Find a formula for c (c) Find an expression in n for the Riemann sum S. Sn =0
4 Evaluate 9x - 7x dx by taking the limit of a Riemann sum using right-hand endpoints and then find the average value of f(x) = 9x - 7x on the interval [0,4]. .. (a) We start by partitioning the interval into n subintervals of equal length Ax. where Ax = (b) Let c denote the right-hand endpoint of the kth subinterval. Find a formula for c (c) Find an expression in n for the Riemann sum S. Sn =0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4
Evaluate 9x - 7x dx by taking the limit of a Riemann sum using right-hand endpoints and then find the average value of f(x) = 9x2 - 7x on the interval [0,4].
....
(a) We start by partitioning the interval into n subintervals of equal length Ax. where
Ax =
(b) Let c denote the right-hand endpoint of the kth subinterval. Find a formula for c,.
(c) Find an expression in n for the Riemann sum S.
Sn =0
(d) Evaluate 9x² - 7x dx by computing lim Sn
n-00
- 7x dx =D
(f) Find the average value of f(x) = 9x2 - 7x on the interval [0,4].
The average value of f(x) = 9x - 7x on the interval [0,4] is av(f) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55bde63a-e93f-47aa-b4b4-6bf144a23089%2Fbfcdc4f4-28c9-435c-bfe7-a04762a27af3%2Fao46ad49_processed.png&w=3840&q=75)
Transcribed Image Text:4
Evaluate 9x - 7x dx by taking the limit of a Riemann sum using right-hand endpoints and then find the average value of f(x) = 9x2 - 7x on the interval [0,4].
....
(a) We start by partitioning the interval into n subintervals of equal length Ax. where
Ax =
(b) Let c denote the right-hand endpoint of the kth subinterval. Find a formula for c,.
(c) Find an expression in n for the Riemann sum S.
Sn =0
(d) Evaluate 9x² - 7x dx by computing lim Sn
n-00
- 7x dx =D
(f) Find the average value of f(x) = 9x2 - 7x on the interval [0,4].
The average value of f(x) = 9x - 7x on the interval [0,4] is av(f) =
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