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[最も好ましい] f(x y z)=x^2 y^2 z^2 graph 273614-Z 2 x 2 y 2 graph

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Multivariable Calculus How Do I Graph Z Sqrt X 2 Y 2 1 Without Using Graphing Devices Mathematics Stack Exchange Recall from Introduction to Vectors in Space that the name of the graph of f (x, y) = x 2 y 2 f (x, y) = x 2 y 2 is a paraboloid The graph of f f appears in the following graph Figure 45 A paraboloid is the graph of the given function of two variables Example 43 For the function f (x, y, z) = 3 x − 4 y 2 z 9 − x 2 − y 24 Find the extreme values of the function f(x;y;x) = xy z2 on the region described by the inequality x2 y2 z2 • 1 Use Lagrange multipliers to treat the boundary case Solution First we work in the interior x2 y2 z2 < 1 to flnd the critical points we set rf = 0 This yields x = y = 0, so the only critical point in the interior is Z 2 x 2 y 2 graph