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swin2013

  • 3 years ago

The sum of two nonegative numbers is 20. Find the numbers if...

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  1. swin2013
    • 3 years ago
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    a) the sum of their squares is a large as possible; as small as possible? b) one number plus the square root of the other is a large as possible; as small as possible?

  2. jennychan12
    • 3 years ago
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    i only know how to do this with optimization (calculus) x^2+y^2 =M x+y = 20 Find y in terms of x and plug it in, then take the derivative.

  3. swin2013
    • 3 years ago
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    I got y = 10

  4. swin2013
    • 3 years ago
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    so that's the minimum? but i don't know how to find the largest possible answer

  5. swin2013
    • 3 years ago
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    no, i did it your previous way lol. I put the primary equation as x^2+y^2= S and the secondary equation as x+y=20 but idk if that's correct.

  6. jennychan12
    • 3 years ago
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    yeah, that's correct, then solve for one of the variables and plug it into the S equation

  7. swin2013
    • 3 years ago
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    the S equation or the S' equation?

  8. Hunus
    • 3 years ago
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    the S equation

  9. jennychan12
    • 3 years ago
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    plug it into the S equation, simplify then take the derivative (S')

  10. swin2013
    • 3 years ago
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    Oh i figured it out lol!!! But i don't know how to solve for part b :(

  11. jennychan12
    • 3 years ago
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    x+sqrt(y) = M try that?

  12. jennychan12
    • 3 years ago
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    using x+y = 20 plug in, same things...? dunno if it'll work, but....

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