Explanation The speed of blood flowing along the central axis of an artery of radius R is denoted by S ( R ) = c R 2 ................ (i) . where c is constant. We know that the percentage error. p e r c e n t a g e e r r o r = ( Δ S ( R ) S ( R ) ) 100 % ................ (ii) . We can estimate the percentage change in S(R). Δ S ( R ) ≈ S ' ( R ) Δ R ................ (iii) If we made an error of 1% in measurement of R . the n Δ R = ± R 100 ................ (iv) . We know that S ' ( R ) = d d R ( c R 2 ) = 2 c R ................ (v)

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Exponential Growth Model

The relation that represents an exponential function is:

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Chapter 3.8, Problem 35PS

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To estimate the percentage error in calculation of S(R). If there is 1% error in measurement of R .

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Chapter 3.8, Problem 34PS

Chapter 3.8, Problem 36PS

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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To estimate the percentage error in calculation of S(R). If there is 1% error in measurement of R .

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Chapter 3 Solutions