EudecioGabriel Posted April 25, 2017 Share Posted April 25, 2017 Question: Sectioning a paraboloid for a plane perpendicular to it's axis and the three units of the vertice, we find an ellipsis of axis equal to 6 and 12 units. Write the equation of the paraboloid. I don't even know how to start! Thank you! Link to comment Share on other sites More sharing options...
fiveworlds Posted April 25, 2017 Share Posted April 25, 2017 (edited) As far as I can tell they expect you to use the general equation for an elliptic paraboloid [latex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=z[/latex] Where a and b are the length of the elipsis on the x and y axis respectively. So in this case there are 2 possible equations without more info. [latex]\frac{x^{2}}{6^{2}}+\frac{y^{2}}{12^{2}}=z[/latex] [latex]\frac{x^{2}}{12^{2}}+\frac{y^{2}}{6^{2}}=z[/latex] Edited April 25, 2017 by fiveworlds Link to comment Share on other sites More sharing options...
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