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ksaimouli

  • 3 years ago

optimization

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  1. ksaimouli
    • 3 years ago
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    the sum of two non negative is 20 find the number if sum of their squares is larger as possible

  2. ksaimouli
    • 3 years ago
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    correct me if i go wrong @zzr0ck3r

  3. ksaimouli
    • 3 years ago
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    |dw:1352756469740:dw|

  4. ksaimouli
    • 3 years ago
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    thats all i get

  5. ksaimouli
    • 3 years ago
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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

  6. ksaimouli
    • 3 years ago
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    anybody there!!

  7. ksaimouli
    • 3 years ago
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    how to check the end points

  8. ksaimouli
    • 3 years ago
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    @henpen

  9. ksaimouli
    • 3 years ago
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    i got half problem

  10. henpen
    • 3 years ago
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    \[y=20-x\] \[y^2+x^2=400+2x^2-40x=M\]Maximise M

  11. ksaimouli
    • 3 years ago
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    how 400??

  12. henpen
    • 3 years ago
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    Do you want to minimise the square, as this doesn't have a maximum

  13. henpen
    • 3 years ago
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    \[(20-x)^2+x^2=400-20x-20x+x^2+x^2\]

  14. ksaimouli
    • 3 years ago
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    (a)

  15. ksaimouli
    • 3 years ago
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    ohh but i took derivative

  16. henpen
    • 3 years ago
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    Yes.

  17. ksaimouli
    • 3 years ago
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    i did not expand it instead did that

  18. ksaimouli
    • 3 years ago
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    x=10 is min but i need to check the end points too right but

  19. ksaimouli
    • 3 years ago
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    i dont get it

  20. ksaimouli
    • 3 years ago
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    http://answers.yahoo.com/question/index?qid=20090121215430AAKHqbY

  21. ksaimouli
    • 3 years ago
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    after x=10 what steps they did i did not understand

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

  23. ksaimouli
    • 3 years ago
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    i get min but i need max

  24. henpen
    • 3 years ago
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    |dw:1352759585039:dw|

  25. ksaimouli
    • 3 years ago
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    no but book answer shows 0 and 20

  26. henpen
    • 3 years ago
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    Actually, given that they have to be non negative there probably is a maximum

  27. henpen
    • 3 years ago
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    It's when y=20 and x=0

  28. henpen
    • 3 years ago
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    Geometrically it's obvious

  29. henpen
    • 3 years ago
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    Sorry, I wasn't thinking of the non-negatives only earlier

  30. ksaimouli
    • 3 years ago
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    ohh ok

  31. ksaimouli
    • 3 years ago
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    thx

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