SOLUTION: V = C(Ro – R)R^2
where C > 0 is a constant based on individual body characteristics,
Ro is the radius of the windpipe before the cough, and R is the
radius of the windpipe dur
Algebra.Com
Question 38533: V = C(Ro – R)R^2
where C > 0 is a constant based on individual body characteristics,
Ro is the radius of the windpipe before the cough, and R is the
radius of the windpipe during the cough. Find the value of R that
maximizes the velocity, and state the resulting maximum velocity.
I just want to confirm that I am on the right track?
V = C(Ro – R)R^2
= C Ro R^2 - CR^3
V'(R)= 0
CR(2Ro - 3R) = 0,
R = 0 or 2/3.
I think the elgebra may not be right?
Can someone please tell me if this is the right idea.
Thankyou.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, Your initial steps are OK but I think that your final statement lost an Ro.
Setting
Solve for R. Factor CR.
Apply the zero products principle.
and/or
If then Since
If then and
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