Extracted Surface of a Paraboloid



Graphs and Level curves of functions of Two variables

Definitions
  • The set of points (x,y) in the plane where a function f (x,y) has a constant value f(x,y)=c is called a level curve of f
  • The set of all points (x,y,f (x,y)) in space, for (x,y) in the domain of f, is called the graph of f
  • The graph of f is called the surface z=f (x,y)
  • The equation of the following paraboloid is `z=50-x^2-y^2`
Extracted surface of Paboloid using Matplot Python




Mesh Grid -Extracted Surface of Paboloid

Comments

  1. Sai's Science and Maths class6 November 2018 at 01:58

    Thank you Surabhi Singh

    ReplyDelete
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Graphs and Level curves of functions of Two variables Definitions The set of points (x,y) in the plane where a function f (x,y) has a constant value f(x,y)=c is called a level curve of f The set of all points (x,y,f (x,y)) in space, for (x,y) in the domain of f, is called the graph of f The graph of f is called the surface z=f (x,y) The equation of the following hyperbolic paraboloid is `z=50+x^2-y^2`
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