Find formula for a function whose level surfaces are spheres

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Reference no: EM131613623

Question: 1. Find a formula for a function f(x, y, z) whose level surfaces are spheres centered at the point (a, b, c).

2. Find a function f(x, y, z) whose level surface f = 1 is the graph of the function g(x, y) = x + 2y.

3. Find two functions f(x, y) and g(x, y) so that the graphs of both together form the ellipsoid x2 + y2/4 + z2/9 = 1.

Reference no: EM131613623

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