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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.3, Problem 55E

To determine

The value of *r* for which *v* is maximum.

Expert Solution

The value of *r* is 0.6667 for which the value of *v* is maximum.

A function of velocity *v* of the airstream through trachea of radius *r* is given by

*r* is

Use graph calculator to draw thee graph of the function

Figure (1)

Locate the point of local maximum in the above graph to find the value of *r* for which *v* is maximum.

The value
*a* is near *x.*

From Figure (1), it is noticed that there is a local maximum between

Point

The value 0.474 is the local maximum value at

Therefore, the value of *r* is 0.6667 for which the value of *v* is maximum.