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Differential Calculus

Blazing goIITian

Joined:	15 Jul 2008
Post:	315

16 Aug 2009 03:06:16 IST

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A window is in the form of rectangle surmounted by a semicircular opening. The total perimeter of th

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A window is in the form of rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening

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Comments (3)

Subhashis

Cool goIITian

Joined: 16 Jun 2009

Posts: 73

18 Aug 2009 15:31:52 IST

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Let length be l and breadth be b

perimeter=2b+l+pie(r)

or, b= 5-l/2-pie(l)/2

area= pie *r^2/2+bl

find dA/dx and maximize it

you will get l=(20 +pie)/4 and b= l/2

Subhashis

Cool goIITian

Joined: 16 Jun 2009

Posts: 73

18 Aug 2009 15:34:20 IST

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u have taken this from ncert right

gayathri

Blazing goIITian

Joined: 28 May 2009

Posts: 614

18 Aug 2009 15:52:54 IST

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hey this is from 12th NCERT right??

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