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6. (4 points) True or false: Let f : R2 - R be a function. If the contour curve of f at any height c

6. (4 points) True or false: Let f : R2 - R be a function. If the contour curve of f at any height c is a circle (whenever {(x, y ) E R2 : f(x, y) = c} has more than one element), then the graph of f is a cylinder

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