Posted by **dt** on Tuesday, November 18, 2008 at 11:01pm.

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 -
**Reiny**, Tuesday, November 18, 2008 at 11:25pm
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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