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
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-> 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
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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.
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