A particle moves in a straight line with a velocity of v' (t) = /3t –1 meters per second, where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters in the positive direction. A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule. B) What is the True Error if by using direct integration the answer is 30.028 meters? C) What is the Absolute Relative Error?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A particle moves in a straight line with a velocity of v' (t) = /3t – 1 meters per second,
where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters
-
in the positive direction.
A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule.
B) What is the True Error if by using direct integration the answer is 30.028 meters?
C) What is the Absolute Relative Error?
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Transcribed Image Text:A particle moves in a straight line with a velocity of v' (t) = /3t – 1 meters per second, where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters - in the positive direction. A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule. B) What is the True Error if by using direct integration the answer is 30.028 meters? C) What is the Absolute Relative Error? Edit View Insert Format Tools Table 12pt v |BIUA Paragraph EPIC 30°C Mos
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