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Consider the region R={(x,y)∈ℝ×ℝ:x≥0 and y2≤4−x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let (α,β) be a point where the circle C meets the curve y2=4−x.
Section: Mathematics
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