find the minimum distance between the origin and the surface z^2=[8-y^2-x^4*y^2]/2(adsbygoogle = window.adsbygoogle || []).push({});

so d=sqrt(x^2+y^2+z^2)^(1/2) where for z^2 I sub in that expression in x and y?

so then I take the partials of d wrt to x and y and set those equal to 0, then I solved that system of equations and got x=+-1 and y=+-1 but I'm not sure about that. I also got x=0 and y=0 but I guess that's the max distance since it's the initial point? I dunno. I got the ultimate distance being sqrt(5) by plugging 1 back into the expression for d, you're welcome to practice on it too but I just need to know if the procedure was right

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# Seems like everytime I pick a random problem for review I get a hard one, calc 3ish

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