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If x^2+y^2=1, what is the largest possible value of |x|+|y|?

 Feb 6, 2020
 #1
avatar+107466 
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do you know calculus at all?

 Feb 6, 2020
 #2
avatar+107466 
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Just thinking about the graph in my head I would say the answer would be 2sqrt2

 

I am thinking of the point  (sqrt2, sqrt2) on the circle 

 Feb 6, 2020
 #4
avatar+1035 
+2

Do you mean (sqrt2/2, sqrt2/2)?

CoolStuffYT  Feb 6, 2020
 #5
avatar+107466 
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yes, thanks Coolstuff for picking that error up.  :)

Melody  Feb 6, 2020
 #3
avatar+1035 
+2

To maximize, x=y

so x=y=(sqrt2)/2

Therefore the answer is sqrt2

 Feb 6, 2020

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