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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
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Allometric Growth The allometric formula is used to

Chapter 2, Problem 84A

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QUESTION:

Allometric Growth The allometric formula is used to describe a wide variety of growth patterns. It says that y = nxm, where x and y are variables, and n and m are constants. For example, the famous biologist J. S. Huxley used this formula to relate the weight of the large claw of the fiddler crab to the weight of the body without the claw. Source: of Relative Growth. Show that if x and y are given by the allometric formula, then X = log bx, Y = log by, and N = log bn are related by the linear equationY = mX + N.

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QUESTION:

Allometric Growth The allometric formula is used to describe a wide variety of growth patterns. It says that y = nxm, where x and y are variables, and n and m are constants. For example, the famous biologist J. S. Huxley used this formula to relate the weight of the large claw of the fiddler crab to the weight of the body without the claw. Source: of Relative Growth. Show that if x and y are given by the allometric formula, then X = log bx, Y = log by, and N = log bn are related by the linear equationY = mX + N.

ANSWER:

SolutionStep 1 of 2In this problem, we have to prove the given condition using the given allometric formula.Given allometric formula

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