Explanation Given information: x 10 14 18 22 26 f ( x ) 100 88 72 50 28 Calculation: As per given table To estimate: I = ∫ 10 26 f ( x ) d x Here we have Δ x = ( 14 − 10 ) = 4 and n = 26 − 10 4 = 4 Now using Left Hand Sum method and Right Hand Sum method to evaluate the required value Left Hand Sum (Say L ): L = f ( 10 ) ⋅ 4 + f ( 14 ) ⋅ 4 + f ( 18 ) ⋅ 4 + f ( 22 ) ⋅ 4

6th Edition

ISBN: 9781119399254

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 5.2, Problem 15P

To determine

Use the following table to estimate ∫1026f(x)dx.

x 10 14 18 22 26

f ( x ) 100 88 72 50 28

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Chapter 5.2, Problem 14P

Chapter 5.2, Problem 16P

Chapter 5 Solutions

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Use the following table to estimate ∫ 10 26 f ( x ) d x . x 10 14 18 22 26 f ( x ) 100 88 72 50 28

Solution Summary: The author explains how to estimate the required value using the following table: displaystyleint_1026f(x)dx.

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Use the following table to estimate ∫1026f(x)dx.

x 10 14 18 22 26

f ( x ) 100 88 72 50 28

Want to see the full answer?

Chapter 5 Solutions

Use the following table to estimate ∫ 10 26 f ( x ) d x . x 10 14 18 22 26 f ( x ) 100 88 72 50 28

Solution Summary: The author explains how to estimate the required value using the following table: displaystyleint_1026f(x)dx.

Concept explainers

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Use the following table to estimate ∫1026f(x)dx. x 10 14 18 22 26 f ( x ) 100 88 72 50 28

Want to see the full answer?

Chapter 5 Solutions

Use the following table to estimate ∫1026f(x)dx.

x 10 14 18 22 26

f ( x ) 100 88 72 50 28