Question

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 (at rest) radius of your windpipe, then for r<_(less than or equal to)R, the speed is given by: v=a(R-r)r^(2), where a is positive constant. What value of r maximizes the speed?

Answer 1

calculus ?

Answer 2

I assume so. Optimization it seems.

Answer 3

yes its calculus this section in the class was over linear approximations and differentials

Answer 4

Differentiate the given function
equate your answer with zero ..solve the equation

Answer 5

^.

Answer 6

thanks

Answer 7

you're welcome