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(b) i) Find the centroid of the plane region defined by the polar coordinate a ≤0 ≤ α (0 < a ≤ π). How does the inequalities 0 ≤r≤a, centroid move as a → ? ii) Sketch the region for a = 5 and show the centroid in your sketch.

(b) i) Find the centroid of the plane region defined by the polar coordinate a ≤0 ≤ α (0 < a ≤ π). How does the inequalities 0 ≤r≤a, centroid move as a → ? ii) Sketch the region for a = 5 and show the centroid in your sketch.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) i) Find the centroid of the plane region defined by the polar coordinate inequalities 0 ≤ r ≤ a, - a ≤ 0 ≤ α (0 < a <T). How does the centroid move as a → π¯? ii) Sketch the region for a = and show the centroid in your sketch.
Transcribed Image Text:(b) i) Find the centroid of the plane region defined by the polar coordinate inequalities 0 ≤ r ≤ a, - a ≤ 0 ≤ α (0 < a <T). How does the centroid move as a → π¯? ii) Sketch the region for a = and show the centroid in your sketch.
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