Consider the problem of computing the Riemann-Stieltjes integral S a(x) = x¹/5 We will use the notation from the lectures/notes in the parts below. All answers can be input as calculator-ready expressions, or as decimals. If using the latter, make sure your answer is accurate to at least 4 decimal places. f da for the functions f (x) = 2 - 3x² and a) The interval [4, 7] is to be split into a partition consisting of 16 subintervals [xj-1, xj], j = 1,..., 16 with the a following a geometric sequence. So xo = 4, 16 = 7 and x; r> 1. raj-1 for j = 1, ..., 16 for a suitable choice of For such a partition 8
Consider the problem of computing the Riemann-Stieltjes integral S a(x) = x¹/5 We will use the notation from the lectures/notes in the parts below. All answers can be input as calculator-ready expressions, or as decimals. If using the latter, make sure your answer is accurate to at least 4 decimal places. f da for the functions f (x) = 2 - 3x² and a) The interval [4, 7] is to be split into a partition consisting of 16 subintervals [xj-1, xj], j = 1,..., 16 with the a following a geometric sequence. So xo = 4, 16 = 7 and x; r> 1. raj-1 for j = 1, ..., 16 for a suitable choice of For such a partition 8
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
A and b please
![.7
T f da for the functions f (x) = 2 - 3x² and
Consider the problem of computing the Riemann-Stieltjes integral
a(x) = x¹/5
We will use the notation from the lectures/notes in the parts below.
All answers can be input as calculator-ready expressions, or as decimals. If using the latter, make sure your answer
is accurate to at least 4 decimal places.
a)
The interval [4, 7] is to be split into a partition consisting of 16 subintervals [xj-1, xj], j = 1, ..., 16 with the Xj
following a geometric sequence. So xo = 4, 16 = 7 and xj = rxj-1 for j = 1,..., 16 for a suitable choice of
r> 1.
For such a partition 8
Cubrif](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51233477-563a-4fac-8d9f-758d1171e786%2F75dba32e-8e5c-4939-96bb-b60afbbc808a%2F42ox25m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:.7
T f da for the functions f (x) = 2 - 3x² and
Consider the problem of computing the Riemann-Stieltjes integral
a(x) = x¹/5
We will use the notation from the lectures/notes in the parts below.
All answers can be input as calculator-ready expressions, or as decimals. If using the latter, make sure your answer
is accurate to at least 4 decimal places.
a)
The interval [4, 7] is to be split into a partition consisting of 16 subintervals [xj-1, xj], j = 1, ..., 16 with the Xj
following a geometric sequence. So xo = 4, 16 = 7 and xj = rxj-1 for j = 1,..., 16 for a suitable choice of
r> 1.
For such a partition 8
Cubrif
Transcribed Image Text:b)
The change in a in subinterval 4 is Aα4
The values of the largest and smallest values of f on this subinterval are:
and M4
m4
=
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