A useful model for the production p(x) of blood cells involves a function of the form where

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A useful model for the production p(x) of blood cells involves a function of the form


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where x is the number of cells present, and A, B, and m are positive constants.


a. Find the rate of blood production R(x) = p'(x), and determine where R(x) = 0.


b. Find the rate at which R(x) is changing with respect to x, and determine where R'(x) = 0.


c. If m > 1, does the nonzero critical number you found in part (b) correspond to a relative maximum or a relative minimum? Explain.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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