Question

the sum of two nonnegative numbers is 20

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
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Answer #1
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
answered by: Arianna
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