3 7k 7k 7 lim > A 3+ + B 3+ п k=1 Also, is that Riemann sum a left rectangle sum or right rectangle sum?

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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If you see a Captial A it equals 4 and if you see a Captial B it equals 8.

The instructions for the problem are in the pictures.

Problems involve Riemann Sums and Definite Integrals.

2. Write a definite integral that is associated with the Riemann sum:
3
7k
+ B 3+
n
7k
lim
A 3+
n00
k=1
n
n
n
Also, is that Riemann sum a left rectangle sum or right rectangle sum?
Transcribed Image Text:2. Write a definite integral that is associated with the Riemann sum: 3 7k + B 3+ n 7k lim A 3+ n00 k=1 n n n Also, is that Riemann sum a left rectangle sum or right rectangle sum?
4. Give an example of a linear function f(x)=
mx+b , with m,b÷0 and an interval
a <x<c where | f(x)dx=0 . Justify your reasons with geometry.
Transcribed Image Text:4. Give an example of a linear function f(x)= mx+b , with m,b÷0 and an interval a <x<c where | f(x)dx=0 . Justify your reasons with geometry.
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