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The flow F of a certain liquid in a thin pipe is given by F = k P R4, where R is the radius of pipe , P is the pressure difference between the two ends of the pipe and k is a non-zero constant real number. Use Differentials to determine by approximately what percentage the flow F changes if the pressure decreased by 1% and the diameter of the pipe increased by 2% due to error in measurements. Enter your answer without the percentage sign. Enter an integer or a fully reduced fraction such as -2, 0, 15 , 3/4 , -7/9 , etc.

The flow F of a certain liquid in a thin pipe is given by F = k P R4, where R is the radius of pipe , P is the pressure difference between the two ends of the pipe and k is a non-zero constant real number. Use Differentials to determine by approximately what percentage the flow F changes if the pressure decreased by 1% and the diameter of the pipe increased by 2% due to error in measurements. Enter your answer without the percentage sign. Enter an integer or a fully reduced fraction such as -2, 0, 15 , 3/4 , -7/9 , etc.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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The flow F of a certain liquid in a thin pipe is given by F = k P R4, where R is the radius of pipe , P is the pressure difference between the two ends of the pipe and k is a non-zero constant real number. Use Differentials to determine by approximately what percentage the flow F changes if the pressure decreased by 1% and the diameter of the pipe increased by 2% due to error in measurements. Enter your answer without the percentage sign. Enter an integer or a fully reduced fraction such as -2, 0, 15 , 3/4 , -7/9 , etc.
Transcribed Image Text:The flow F of a certain liquid in a thin pipe is given by F = k P R4, where R is the radius of pipe , P is the pressure difference between the two ends of the pipe and k is a non-zero constant real number. Use Differentials to determine by approximately what percentage the flow F changes if the pressure decreased by 1% and the diameter of the pipe increased by 2% due to error in measurements. Enter your answer without the percentage sign. Enter an integer or a fully reduced fraction such as -2, 0, 15 , 3/4 , -7/9 , etc.
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