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

## Answer this Question

## Related Questions

- Algebra - How should two nonnegative numbers be chosen so that their sum is 1 ...
- finding numbers - The sum of two positive numbers is 20. Find the numbers if the...
- Math - Express the number 25 as a sum of two nonnegative numbers whose product ...
- calculus - find two positive integers such that the sum of the first number and ...
- Calculus - Find the sum of two numbers whose sum is 70 and whose product is as ...
- math - Consider an equilateral triangle with points located at each vertex and ...
- Number Sentence - In a 4-digit number, the two greatest place-value digits are 2...
- Math-Calculus - Find a positive number such that the sum of the number and its ...
- math - The sides of the outside square in the figure are 8 inches long. The ...
- math - the sum of two numbers is 46and the differences is 8 what are the numbers...

More Related Questions