Which Riemann sum represents the illustration shown?.Y0.50.3750.250.125-10.750.5 0.25OE (x;) · Ax¡i=13ο Σ( Δi=1Ο Σ(x)i=13O(x;)· Ax;i=1earnx-svc.k12.com/learnx-svc/getindex/token/620bd91af5fe153fd06d6d22 37ca87d7-7f83-4e06-bf0b-994212fc4d9c/15MacBook A.

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Which Riemann sum represents the illustration shown? AY 0.5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 63E

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Question

Which Riemann sum represents the illustration shown?
.Y
0.5
0.375
0.25
0.125
-1
0.75
0.5 0.25O
E (x;) · Ax¡
i=1
3
ο Σ( Δ
i=1
Ο Σ(x)
i=1
3
O(x;)· Ax;
i=1
earnx-svc.k12.com/learnx-svc/getindex/token/620bd91af5fe153fd06d6d22 37ca87d7-7f83-4e06-bf0b-994212fc4d9c/
15
MacBook A.

Expert Solution

Step 1

In the given question, the concept of Riemann Sum is applied.

The Riemann Sum of Definite Integral is defined by-

$\int_{a}^{b} f (x) d x = \lim_{n \to \infty} \sum_{i = 1}^{n} f (x_{i}) \cdot ∆ x$

where, $∆ x = \frac{b - a}{n}$

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