Sketch the region bounded on the left by x = 1, bounded above by y = 1/x,
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Sketch the region bounded on the left by x = 1, bounded above by y = 1/x³, and bounded below by y = -1/x³.
(a) Find the centroid of the region for 1 ≤ x ≤ 6.
(b) Find the centroid of the region for 1 ≤ x ≤ b.
(c) Where is the centroid as b → ∞?
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