Express the number 25 as a sum of two nonnegative numbers whose product is as large as possible.

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  1. 25=a+b



    First derivative=25-2a

    Function has maximum when first derivative=0 and second derivative<0


    25=2a Divide with 2


    Second derivative= -2

    That is maximum.





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  2. 12.5 and 12.5

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