ISSUES with circles... A circle in R^3, ie 3D space is written as: f(x,y)= x^2+ y^2 If we want to draw level curves we give the function different values of C, for example: C= 1 > x^2+ y^2 = 1, This will give us a circle with the center in (0,0) and the radius = sqrt(1)=1 BUT what changes when we have x^2+ 4y^2 What does the 4 change, does it change the centre of the circle? Also, how should one sketch x^2+y^2+z^2 < 5?? An answe to any of the two questions is highly appreciated... Please help me! 
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You seem to misunderstand functions. Think about what R^n > R^m means, as a hint. 
Re: ISSUES with circles... ok good point but is it not possible to draw level curves for f(x,y)= x^2+ y^2 by assigning it different constants? 
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Re: ISSUES with circles... Thank you very much greg1313, that cleared up a lot! 
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