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OpenStudy (tiffany_rhodes):
Describe the level curves of the function f(x,y) = x^2 +y^2 -2x+1 ?
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OpenStudy (tiffany_rhodes):
Wouldn't the level curves just be circles/rings? I'm just not sure around which point, because the function is shifted away from the origin.
OpenStudy (anonymous):
OpenStudy (tiffany_rhodes):
@Alchemista so (1,0)?
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
The derivative is \(0\) at \((1, 0)\).
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OpenStudy (anonymous):
The derivative and function are both 0 at \((1, 0)\)
OpenStudy (tiffany_rhodes):
Thanks @Alchemista
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