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ksaimouli Group Title

optimization

  • one year ago
  • one year ago

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

    • one year ago
  2. ksaimouli Group Title
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    correct me if i go wrong @zzr0ck3r

    • one year ago
  3. ksaimouli Group Title
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    |dw:1352756469740:dw|

    • one year ago
  4. ksaimouli Group Title
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    thats all i get

    • one year ago
  5. ksaimouli Group Title
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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

    • one year ago
  6. ksaimouli Group Title
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    anybody there!!

    • one year ago
  7. ksaimouli Group Title
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    how to check the end points

    • one year ago
  8. ksaimouli Group Title
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    @henpen

    • one year ago
  9. ksaimouli Group Title
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    i got half problem

    • one year ago
  10. henpen Group Title
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    \[y=20-x\] \[y^2+x^2=400+2x^2-40x=M\]Maximise M

    • one year ago
  11. ksaimouli Group Title
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    how 400??

    • one year ago
  12. henpen Group Title
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    Do you want to minimise the square, as this doesn't have a maximum

    • one year ago
  13. henpen Group Title
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    \[(20-x)^2+x^2=400-20x-20x+x^2+x^2\]

    • one year ago
  14. ksaimouli Group Title
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    (a)

    • one year ago
  15. ksaimouli Group Title
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    ohh but i took derivative

    • one year ago
  16. henpen Group Title
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    Yes.

    • one year ago
  17. ksaimouli Group Title
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    i did not expand it instead did that

    • one year ago
  18. ksaimouli Group Title
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    x=10 is min but i need to check the end points too right but

    • one year ago
  19. ksaimouli Group Title
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    i dont get it

    • one year ago
  20. ksaimouli Group Title
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    http://answers.yahoo.com/question/index?qid=20090121215430AAKHqbY

    • one year ago
  21. ksaimouli Group Title
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    after x=10 what steps they did i did not understand

    • one year ago
  22. henpen Group Title
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    forget yahoo. |dw:1352759390040:dw| \[4x-40=0\] \[x=10\] \[y=20-10=10\] \[M_{min}=10^2+10^2=200\]

    • one year ago
  23. ksaimouli Group Title
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    i get min but i need max

    • one year ago
  24. henpen Group Title
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    |dw:1352759585039:dw|

    • one year ago
  25. ksaimouli Group Title
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    no but book answer shows 0 and 20

    • one year ago
  26. henpen Group Title
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    Actually, given that they have to be non negative there probably is a maximum

    • one year ago
  27. henpen Group Title
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    It's when y=20 and x=0

    • one year ago
  28. henpen Group Title
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    Geometrically it's obvious

    • one year ago
  29. henpen Group Title
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    Sorry, I wasn't thinking of the non-negatives only earlier

    • one year ago
  30. ksaimouli Group Title
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    ohh ok

    • one year ago
  31. ksaimouli Group Title
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    thx

    • one year ago
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