ksaimouli
  • ksaimouli
optimization
Mathematics
schrodinger
  • schrodinger
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ksaimouli
  • ksaimouli
the sum of two non negative is 20 find the number if sum of their squares is larger as possible
ksaimouli
  • ksaimouli
correct me if i go wrong @zzr0ck3r
ksaimouli
  • ksaimouli
|dw:1352756469740:dw|

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ksaimouli
  • ksaimouli
thats all i get
ksaimouli
  • ksaimouli
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
  • ksaimouli
anybody there!!
ksaimouli
  • ksaimouli
how to check the end points
ksaimouli
  • ksaimouli
ksaimouli
  • ksaimouli
i got half problem
anonymous
  • anonymous
\[y=20-x\] \[y^2+x^2=400+2x^2-40x=M\]Maximise M
ksaimouli
  • ksaimouli
how 400??
anonymous
  • anonymous
Do you want to minimise the square, as this doesn't have a maximum
anonymous
  • anonymous
\[(20-x)^2+x^2=400-20x-20x+x^2+x^2\]
ksaimouli
  • ksaimouli
(a)
ksaimouli
  • ksaimouli
ohh but i took derivative
anonymous
  • anonymous
Yes.
ksaimouli
  • ksaimouli
i did not expand it instead did that
ksaimouli
  • ksaimouli
x=10 is min but i need to check the end points too right but
ksaimouli
  • ksaimouli
i dont get it
ksaimouli
  • ksaimouli
http://answers.yahoo.com/question/index?qid=20090121215430AAKHqbY
ksaimouli
  • ksaimouli
after x=10 what steps they did i did not understand
anonymous
  • anonymous
forget yahoo. |dw:1352759390040:dw| \[4x-40=0\] \[x=10\] \[y=20-10=10\] \[M_{min}=10^2+10^2=200\]
ksaimouli
  • ksaimouli
i get min but i need max
anonymous
  • anonymous
|dw:1352759585039:dw|
ksaimouli
  • ksaimouli
no but book answer shows 0 and 20
anonymous
  • anonymous
Actually, given that they have to be non negative there probably is a maximum
anonymous
  • anonymous
It's when y=20 and x=0
anonymous
  • anonymous
Geometrically it's obvious
anonymous
  • anonymous
Sorry, I wasn't thinking of the non-negatives only earlier
ksaimouli
  • ksaimouli
ohh ok
ksaimouli
  • ksaimouli
thx
anonymous
  • anonymous
http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIyeF4yLTQweCs0MDAiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItMTI2LjIzNzg2NDYwNjA4MjI4IiwiMTEwLjIzMDc1Nzg1NDg3ODc3IiwiMzE5LjQxNDUzOTI2MjY1MjA2IiwiNDY0LjkzMzY5MTU0NjMyMDM1Il19XQ--

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