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swin2013
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The sum of two nonegative numbers is 20. Find the numbers if...
 2 years ago
 2 years ago
swin2013 Group Title
The sum of two nonegative numbers is 20. Find the numbers if...
 2 years ago
 2 years 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?
 2 years 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.
 2 years ago

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

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

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

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

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