Here's the question you clicked on:
swin2013
The sum of two nonegative numbers is 20. Find the numbers if...
a) the sum of their squares is a large as possible; as small as possible? b) one number plus the square root of the other is a large as possible; as small as possible?
i only know how to do this with optimization (calculus) x^2+y^2 =M x+y = 20 Find y in terms of x and plug it in, then take the derivative.
so that's the minimum? but i don't know how to find the largest possible answer
no, i did it your previous way lol. I put the primary equation as x^2+y^2= S and the secondary equation as x+y=20 but idk if that's correct.
yeah, that's correct, then solve for one of the variables and plug it into the S equation
the S equation or the S' equation?
plug it into the S equation, simplify then take the derivative (S')
Oh i figured it out lol!!! But i don't know how to solve for part b :(
x+sqrt(y) = M try that?
using x+y = 20 plug in, same things...? dunno if it'll work, but....