最高のコレクション Sqrt(x^2+y^2) Graph 265099-Square Root Of X^2 + Y^2 Graph

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Square root of x^2 + y^2 graph-To graph the XY plane you set Z = 0 and plot the function as you normally would, so $$z = \sqrt(x^2 y^2 1) == 0 = \sqrt(x^2 y^2 1)$$ $$\text {Therefore} x^2 y^2 = 1$$ is your XY axis graph, which is just a circle of radius 1 centered at the origin Hello, Let Sigma the surface of your function F it's a surface of revolution because F(x,y) = f(r) where r = sqrt(x^2y^2) Precisely, f(r) = sqrt(r^21) ln(4r^2) First, plot the curve of f r \mapsto sqrt(r^2 1) ln(4r^2) You get Now, turn this curve around zaxes in 3Dspace You get the surface Sigma