Explanation It is given that the frequency f is directly proportional to the square root of tension T and inversely proportional to the length. That is, f α T and f α 1 L such that f becomes f α T L . Removing proportionality, the equation becomes f = k T L where k is the constant of proportionality. The value of k can be obtained as k = f L T Differentiate f partially with respect to T as follows. ∂ f ∂ T = ∂ ∂ T ( k T L ) = k L ∂ ∂ T ( T ) = k L ( 1 2 T ) = k 2 L T Substitute the value of k in ∂ f ∂ T and reduce it

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Question

Chapter 29, Problem 8PT

To determine

To find: The partial derivative of f with respect to T and then, evaluate it for the values given.

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Chapter 29, Problem 7PT

Chapter 30.1, Problem 1PE

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Chapter 29 Solutions

Basic Technical Mathematics

Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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