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# From calculus, one obtains the following formula (Leibnitzrule) for the time derivative ISBN: 9781119080701 456

## Solution for problem 4.61 Chapter 4.4

Fundamentals of Fluid Mechanics | 8th Edition

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Problem 4.61

From calculus, one obtains the following formula (Leibnitzrule) for the time derivative of an integral that contains time in boththe integrand and the limits of the integration:ddt x2(t)x1(t)f (x, t)dx = x2x1ftdx + f (x2, t)dx2dt f (x1, t)dx1dtDiscuss how this formula is related to the time derivative of thetotal amount of a property in a system and to the Reynolds transporttheorem.

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##### ISBN: 9781119080701

The full step-by-step solution to problem: 4.61 from chapter: 4.4 was answered by , our top Science solution expert on 03/16/18, 03:21PM. The answer to “From calculus, one obtains the following formula (Leibnitzrule) for the time derivative of an integral that contains time in boththe integrand and the limits of the integration:ddt x2(t)x1(t)f (x, t)dx = x2x1ftdx + f (x2, t)dx2dt f (x1, t)dx1dtDiscuss how this formula is related to the time derivative of thetotal amount of a property in a system and to the Reynolds transporttheorem.” is broken down into a number of easy to follow steps, and 62 words. This textbook survival guide was created for the textbook: Fundamentals of Fluid Mechanics, edition: 8. Fundamentals of Fluid Mechanics was written by and is associated to the ISBN: 9781119080701. This full solution covers the following key subjects: . This expansive textbook survival guide covers 112 chapters, and 1357 solutions. Since the solution to 4.61 from 4.4 chapter was answered, more than 225 students have viewed the full step-by-step answer.

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