Post #1     EzDay281[MM] Nov 21 2007, 6:04 am

My friend's been having trouble with some math homework. We've both come to the same conclusion for the question, but he's convinced that the 'expected' answer is different from ours'. So, he wants to see others' answers on it, to compare to his own! [quote]Multivariable Calculus — Sample Review Questions The problems below are selected from a typical first-year calculus curriculum. Try to solve them using Maple, as a tool to help you review and to learn Maple. If you can master all these you’ve probably got a reasonable grasp of first-year calculus. Not all topics, however, are covered here! ... When you cough, your windpipe contracts. The speed v with which air comes out depends on the radius r of your windpipe. If R is the normal (rest) radius of your windpipe, then for r £ R, the speed is given by v = a(R - r)r^2 , for some constant a. What value of r maximizes the speed?[/quote]

My friend's been having trouble with some math homework.
We've both come to the same conclusion for the question, but he's convinced that the 'expected' answer is different from ours'.
So, he wants to see others' answers on it, to compare to his own!

Quote

Multivariable Calculus — Sample Review Questions
The problems below are selected from a typical first-year calculus curriculum. Try to solve them
using Maple, as a tool to help you review and to learn Maple. If you can master all these you’ve
probably got a reasonable grasp of first-year calculus. Not all topics, however, are covered here!
...
When you cough, your windpipe contracts. The speed v with which air comes out depends on
the radius r of your windpipe. If R is the normal (rest) radius of your windpipe, then for
r £ R, the speed is given by v = a(R - r)r^2 , for some constant a. What value of r maximizes
the speed?