Explanation Given information: ∫ 0 2 t 0 r ( t ) d t , ∫ t 0 2 t 0 r ( t ) d t , ∫ 2 t 0 3 t 0 r ( t ) d t Concept used: Rank from least to greatest means rank in increasing order. Calculation: If F ' ( t ) is continuous for a ≤ t ≤ b , then ∫ a b F ' ( t ) d t = F ( b ) − F ( a ) . Let ∫ r ( t ) d t = F ( t ) and t 0 = 1 The values of integrals are ∫ 2 t 0 3 t 0 r ( t ) d t = ∫ 2 3 r ( t ) d t = [ F ( t ) ] 2 3 = F ( 3 ) − F ( 2 ) It represents quantity of oil pumped out during the period t = 2 to t = 3 . ∫ t 0 2 t 0 r ( t ) d t = ∫ 1 2 r ( t ) d t = [ F ( t ) ] 1 2 = F ( 2 ) − F ( 1 ) It represents quantity of oil pumped out during the period t = 1 and t = 2 . ∫ 0 2 t 0 r ( t ) d t = ∫ 0 2 r ( t ) d t = [ F ( t ) ] 0 2 = F ( 2 ) − F ( 0 ) It represents quantity of oil pumped out during the period t = 0 to t = 2

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 5.5, Problem 19P

To determine

Rank in order from least to greatest.

∫02t0r(t)dt, ∫t02t0r(t)dt, ∫2t03t0r(t)dt

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Chapter 5.5, Problem 18P

Chapter 5.5, Problem 20P

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Chapter 5 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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Rank in order from least to greatest. ∫ 0 2 t 0 r ( t ) d t , ∫ t 0 2 t 0 r ( t ) d t , ∫ 2 t 0 3 t 0 r ( t ) d t

Solution Summary: The author explains how Rank from least to greatest means rank in increasing order.

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Rank in order from least to greatest.

∫02t0r(t)dt, ∫t02t0r(t)dt, ∫2t03t0r(t)dt

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Chapter 5 Solutions

Rank in order from least to greatest. ∫ 0 2 t 0 r ( t ) d t , ∫ t 0 2 t 0 r ( t ) d t , ∫ 2 t 0 3 t 0 r ( t ) d t

Solution Summary: The author explains how Rank from least to greatest means rank in increasing order.

Concept explainers

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Rank in order from least to greatest. ∫02t0r(t)dt, ∫t02t0r(t)dt, ∫2t03t0r(t)dt

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Chapter 5 Solutions

Rank in order from least to greatest.

∫02t0r(t)dt, ∫t02t0r(t)dt, ∫2t03t0r(t)dt