Question: Sketch the region bounded on the left by x = 1, bounded above by y = 1/x, and bounded below by y = -1/x. (a)

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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