243125 - 12.5 Level surface = f(x,y,z surface of form...

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Unformatted text preview: 12.5 Level surface = f(x,y,z) surface of form f(x,y,z)=C…..where c=constant Write level surface x+2y+3z=5 as graph of f(x,y). 3z=5-x-2y …..Z = ((3-x-2y)/3) SO Z= f(x,y) = 5-x-2y/(3) Find formula f(x,y,z) whose level surface f = 4 is a sphere of radius 2, centered at origin. (x-o)^2+(y-o)^2+(z-o)^2=r^2 X^2+y^2+z^2 = 4 ……f(x,y,z) = x^2+y^2+z^2 ...
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