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swin2013
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The sum of two nonegative numbers is 20. Find the numbers if...
 one year ago
 one year ago
swin2013 Group Title
The sum of two nonegative numbers is 20. Find the numbers if...
 one year ago
 one year ago

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swin2013 Group TitleBest ResponseYou've already chosen the best response.0
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?
 one year ago

jennychan12 Group TitleBest ResponseYou've already chosen the best response.0
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.
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
I got y = 10
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
so that's the minimum? but i don't know how to find the largest possible answer
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
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.
 one year ago

jennychan12 Group TitleBest ResponseYou've already chosen the best response.0
yeah, that's correct, then solve for one of the variables and plug it into the S equation
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
the S equation or the S' equation?
 one year ago

Hunus Group TitleBest ResponseYou've already chosen the best response.0
the S equation
 one year ago

jennychan12 Group TitleBest ResponseYou've already chosen the best response.0
plug it into the S equation, simplify then take the derivative (S')
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
Oh i figured it out lol!!! But i don't know how to solve for part b :(
 one year ago

jennychan12 Group TitleBest ResponseYou've already chosen the best response.0
x+sqrt(y) = M try that?
 one year ago

jennychan12 Group TitleBest ResponseYou've already chosen the best response.0
using x+y = 20 plug in, same things...? dunno if it'll work, but....
 one year ago
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