Question: 3. Level sets can be very strange. Let A be the circle of radius 2 centered at the origin and let B = {(x, y)

3. Level sets can be very strange. Let A be the

circle of radius 2 centered at the origin and let B =

3. Level sets can be very strange. Let A be the circle of radius 2 centered at the origin and let B = {(x, y) e R2 : y = x'). Construct a polynomial f : R - R whose -level set is AUB and prove that AUB is its

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