Explanation Given: The function is D = 4.7 w 2 3 . Formula used: Linear approximation of Δ f : If f is differentiable at x = a and Δ x is small then Δ f ≈ f ′ ( a ) Δ x Where Δ f = f ( a + Δ x ) − f ( a ) . Calculation: The function is D = 4.7 w 2 3 . It is also given that w = 10 kg and the percentage error Δ D = 3 % ≈ 0.03 We have to find Δ w . Find the derivative of the function D with respect to w . D ′ ( w ) = 4

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.1, Problem 48E

To determine

Find the maximum allowable error in w for a cocker spaniel of mass w=10 kg if the percentage error in Dmust be less than 3%.

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Chapter 4.1, Problem 47E

Chapter 4.1, Problem 49E

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Find the maximum allowable error in w for a cocker spaniel of mass w = 10 kg if the percentage error in D must be less than 3 % .

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Find the maximum allowable error in w for a cocker spaniel of mass w=10 kg if the percentage error in Dmust be less than 3%.

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Chapter 4 Solutions