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Draw three contour for the following functions

* Graphing a function * draw three contour for the following functions 1.


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The first is a paraboloid elliptic, where you can do: 1=x^2/(1/2)^2 + y^2; obtaining a horizontal axis of 1/2 with respect to the vertical. [http://www.wolframalpha.com/input/?i=z%3D4x%5E2%2By%5E2](https://www.wolframalpha.com/input/?i=z%3D4x%5E2%2By%5E2) The second is a paraboloid hyperbolic with axes in the ratio 1:1, you can write as: 1= x^2/1^2 - y^2/1^2. [http://www.wolframalpha.com/input/?i=z%3D%3Dy%5E2%E2%88%92+x%5E2](http://www.wolframalpha.com/input/?i=z%3D%3Dy%5E2%E2%88%92+x%5E2) The third is also a paraboloid elliptical, you can write that as: 1= 36-9x^2-4y^2; 1= 6^2 - (3x)^2 - (2y)^2; 6^2 = x^2 / (1/3)^2 + y^2 / (1/2)^2; where you can see that the relationships between the axes is 3:2. [http://www.wolframalpha.com/input/?i=z%3D%E2%88%9A(36-9x%5E2-4y%5E2)](http://www.wolframalpha.com/input/?i=z%3D%E2%88%9A(36-9x%5E2-4y%5E2)) In the three directions of Wolfram you have the plots in R3 as the level curves.


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