The value of r for which v is maximum.
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
and the value of r is .
Use graph calculator to draw thee graph of the function as shown below.
Locate the point of local maximum in the above graph to find the value of r for which v is maximum.
The value is local maximum value if when a is near x.
From Figure (1), it is noticed that there is a local maximum between and .
Point is the highest point on the graph. This point is the point of local maximum.
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.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!