Program Explanation Given information: Substitute u for v ρ / g . Explanation: From the given information, separate variables as follows: d v d t = − g − ρ v 2 d v g + ρ v 2 = − d t 1 g d v 1 + ρ g v 2 = − d t d v 1 + ρ g v 2 = − g d t Further, solve the differential equation as, ∫ d v 1 + ρ g v 2 = − g ∫ d t g ρ ∫ d u 1 + u 2 = − g ∫ d t ∫ d u 1 + u 2 = − ρ g ∫ d t tan − 1 ( u ) = C 1 − t ρ g Further solve the above differential equation as, tan − 1 (

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ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

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Chapter 2.3, Problem 13P

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Program Description: Purpose of the problem is to obtain the upward velocity function v(t)=gρtan(C1−tρg) where C1=tan−1(v0ρg) with initial condition v(0)=v0 from dvdt=−g−ρv2 .

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Chapter 2.3, Problem 12P

Chapter 2.3, Problem 14P

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Chapter 2 Solutions

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Program Description: Purpose of the problem is to obtain the upward velocity function v ( t ) = g ρ tan ( C 1 − t ρ g ) where C 1 = tan − 1 ( v 0 ρ g ) with initial condition v ( 0 ) = v 0 from d v d t = − g − ρ v 2 .

Solution Summary: The author explains how to obtain the upward velocity function v(t)=sqrt

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Program Description: Purpose of the problem is to obtain the upward velocity function v(t)=gρtan(C1−tρg) where C1=tan−1(v0ρg) with initial condition v(0)=v0 from dvdt=−g−ρv2 .

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Chapter 2 Solutions