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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-Minima- Word problemsEasy2 minQB

MathematicsEasysingle choice

A window is in the shape of a rectangle surmounted by a semi circle .If the perimeter of the window is of fixed length ' $l$ ' then the maximum area of the window is

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Answer:

Solution:

$A = 2 r x + \frac{1}{2} π r^{2}$

$\frac{d A}{d V} = 0 \Rightarrow r = \frac{l}{4 + π}$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima- Word problems

⏱ 2mℹ️ Source: QB

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