nto n equal subintervals, and whose t each subinterval. Pn) in terms of n only. Use the facts t
nto n equal subintervals, and whose t each subinterval. Pn) in terms of n only. Use the facts t
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
![Let f(x) = x² and P, be the tagged partition of (1, 3] made by subdividing
the interval [1, 3] into n equal subintervals, and whose tags t; are just the
right endpoint of each subinterval.
b. Express S(f;Pn) in terms of n only. Use the facts that
Σ
n(n + 1)
n(n + 1)(2n + 1)
and ?
%3D
6.
i=1
i=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6364e748-1f2b-4292-9f62-908db8d4a629%2F54065d32-ad26-4d7f-a55f-8a9a1ff255d3%2Fxemxpvs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) = x² and P, be the tagged partition of (1, 3] made by subdividing
the interval [1, 3] into n equal subintervals, and whose tags t; are just the
right endpoint of each subinterval.
b. Express S(f;Pn) in terms of n only. Use the facts that
Σ
n(n + 1)
n(n + 1)(2n + 1)
and ?
%3D
6.
i=1
i=1
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