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Vanyuwa [196]
3 years ago
14

Find the two positive numbers that satisfy the given requirements:

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0
We are given with two conditions and we label each positve number as x and y. The sum of the 2 numbers is x + y equal to S. The product is maximum.
The product is xy. To find the maximum

P = xy = x (S- x) = Sx - x2
dP = S - 2x = 0
hence x = S/2

y then is equal to S/2 also. 


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