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0.6 14. Estimate g (t) dt using a left-hand sum with n = 4.

0.6 14. Estimate g (t) dt using a left-hand sum with n = 4.

Advanced Engineering Mathematics
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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Use the table to answer number 14 and 15.
**Transcription:** 14. Estimate \(\int_{0.2}^{0.6} g(t) \, dt\) using a left-hand sum with \(n = 4\). 15. Estimate \(\int_{0}^{0.9} g(t) \, dt\) using a right-hand sum with \(n = 3\).
Transcribed Image Text:**Transcription:** 14. Estimate \(\int_{0.2}^{0.6} g(t) \, dt\) using a left-hand sum with \(n = 4\). 15. Estimate \(\int_{0}^{0.9} g(t) \, dt\) using a right-hand sum with \(n = 3\).
Below is a table representing the values of a function \( g(t) \) at various points \( t \). | \( t \) | 0.0 | 0.1 | 0.2 | 0.3 | 0.4 | |----------|-----|-----|-----|-----|-----| | \( g(t) \) | 1.87 | 2.64 | 3.34 | 3.98 | 4.55 | | \( t \) | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | |----------|-----|-----|-----|-----|-----| | \( g(t) \) | 5.07 | 5.54 | 5.96 | 6.35 | 6.69 | This table can be used to observe how the function \( g(t) \) changes as the variable \( t \) increases from 0.0 to 0.9. The values of \( g(t) \) increase consistently, indicating a potential linear or polynomial relationship.
Transcribed Image Text:Below is a table representing the values of a function \( g(t) \) at various points \( t \). | \( t \) | 0.0 | 0.1 | 0.2 | 0.3 | 0.4 | |----------|-----|-----|-----|-----|-----| | \( g(t) \) | 1.87 | 2.64 | 3.34 | 3.98 | 4.55 | | \( t \) | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | |----------|-----|-----|-----|-----|-----| | \( g(t) \) | 5.07 | 5.54 | 5.96 | 6.35 | 6.69 | This table can be used to observe how the function \( g(t) \) changes as the variable \( t \) increases from 0.0 to 0.9. The values of \( g(t) \) increase consistently, indicating a potential linear or polynomial relationship.
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