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ksaimouli
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the sum of two non negative is 20 find the number if sum of their squares is larger as possible

ksaimouli
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correct me if i go wrong @zzr0ck3r

ksaimouli
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dw:1352756469740:dw

ksaimouli
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thats all i get

ksaimouli
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the sum of two non negative is 20 find the number if sum of their squares is larger as possible;as small as possible

ksaimouli
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anybody there!!

ksaimouli
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how to check the end points

ksaimouli
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@henpen

ksaimouli
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i got half problem

henpen
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\[y=20x\]
\[y^2+x^2=400+2x^240x=M\]Maximise M

ksaimouli
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how 400??

henpen
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Do you want to minimise the square, as this doesn't have a maximum

henpen
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\[(20x)^2+x^2=40020x20x+x^2+x^2\]

ksaimouli
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(a)

ksaimouli
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ohh but i took derivative

henpen
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Yes.

ksaimouli
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i did not expand it instead did that

ksaimouli
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x=10 is min but i need to check the end points too right but

ksaimouli
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i dont get it


ksaimouli
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after x=10 what steps they did i did not understand

henpen
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forget yahoo.
dw:1352759390040:dw
\[4x40=0\]
\[x=10\]
\[y=2010=10\]
\[M_{min}=10^2+10^2=200\]

ksaimouli
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i get min but i need max

henpen
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dw:1352759585039:dw

ksaimouli
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no but book answer shows 0 and 20

henpen
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Actually, given that they have to be non negative there probably is a maximum

henpen
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It's when y=20 and x=0

henpen
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Geometrically it's obvious

henpen
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Sorry, I wasn't thinking of the nonnegatives only earlier

ksaimouli
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ohh ok

ksaimouli
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thx
