Lagrange Multipliers
Example 1
Created by
Mathematica
(December 11, 2003)
![p1 = ContourPlot[f, {x, -1, 1}, {y, -1, 1}, ContourShadingNone, Contours20]](HTMLFiles/index_2.gif){kind=small}
![[Graphics:HTMLFiles/index_3.gif]](HTMLFiles/index_3.gif)
![p2 = Plot[Sqrt[(1 - x^2)/4], {x, -1, 1}, PlotStyleHue[1]]](HTMLFiles/index_4.gif){kind=small}
![[Graphics:HTMLFiles/index_5.gif]](HTMLFiles/index_5.gif)
![p3 = Plot[-Sqrt[(1 - x^2)/4], {x, -1, 1}, PlotStyleHue[1]]](HTMLFiles/index_6.gif){kind=small}
![[Graphics:HTMLFiles/index_7.gif]](HTMLFiles/index_7.gif)
![Show[p1, p2, p3]](HTMLFiles/index_8.gif){kind=small}
![[Graphics:HTMLFiles/index_9.gif]](HTMLFiles/index_9.gif)