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12th Calculus

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the sum of two nonnegative numbers is 20. find the number if

a. the sum of their squares is as large as possible; as small as possible

b. oen number plus the square root of th eother is as large as possible; as samll as possible

  • 12th Calculus -

    a) let S be the sum of their squares

    then

    S = x^2 + (20-x)^2
    take dS/dx, set that equal to zero and solve

    b) S = (20-x) + √x

    same thing, find dS/dx, set equal to zero and solve

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