-x^2 - y^2 - 16z^2= 0 how do i go about graphing this? all i know is it has to do with looking at "sections"
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Err... unless , there is obviously only one solution to this: seeing as are all non-negative numbers...
i know thats what i thought that's why i'm so confused i dont know how to graph it
Well, I suppose we would be looking at a single point in ...
its just weird because they are supposed to be like spheres and paraboloids
Originally Posted by holly123 what is the general equation for an ellipsoid? i think -x^2-y^2-16z^6=0 might be an ellipsoid. trying to figure out how to graph it The general equation for an ellipsoid is , where is the center of the ellipsoid, and . Unfortunately, the equation isn't an ellipsoid. I'm not even sure what to call it since the degree of z is 6... Are you sure you copied it down right?
oh i'm sorry it's z^2!!
Originally Posted by Chris L T521 The general equation for an ellipsoid is , where is the center of the ellipsoid, and . Unfortunately, the equation isn't an ellipsoid. I'm not even sure what to call it since the degree of z is 6... Are you sure you copied it down right? Originally Posted by holly123 oh i'm sorry it's z^2!! Ok, that's a little better. Are you sure its not ? Because that would give us an elliptic [circular] cone! Note that , which is an elliptic cone centered at (0,0,0). The graph would be as follows:
i double checked and it's a subtraction sign
Originally Posted by holly123 i double checked and it's a subtraction sign That would cause some problems since , which is imaginary since and .
i know i'm so stuck..any suggestions?
Originally Posted by holly123 i know i'm so stuck..any suggestions? I would suggust asking your professor about this. I believe there is a typo in the problem somewhere.
okay thank you
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