Identify and sketch the quadric surface:4z=x2+2y2

Question

anonymous · Answer

u kno wat x2/4+2y2/4 = 1 is?

anonymous · Answer

the question is 4z=x raised to the power of 2+2yraised to  the power of 2.

anonymous · Answer

no do it this way...........u kno wat the above eqn represents?

anonymous · Answer

yes.

anonymous · Answer

wat is it?

anonymous · Answer

well, it forms the equation for a circle....I think so....

anonymous · Answer

naa it's an ellipse...............u kno how to plot an ellipse?

anonymous · Answer

well, I iknow how an ellipse looks like but don't know the procedure to actually draw a complete ellipse....

anonymous · Answer

i think that's an ellipsoid........partial.....

anonymous · Answer

see simplify the above eqn...........x2/4z+2y2/4z = 1 ........
now try drawing ellipse for diff values of z............as z increases...........the size of ellipse decreases.......

anonymous · Answer

yeah I think that is the nearest answer....thnx anyway