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6. Find the centroid of the area bounded by the curves y =x; xy-y.

6. Find the centroid of the area bounded by the curves y =x; xy-y.

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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Pls answer no.6.

Centroid of Plane Areas: 1. Find the centroid of the area bounded by the curve y=2(1+x') and the coordinate axes. 2. To the area bounded by y=(1-x) and the x-axis, find its centroid. 3. To the area of the loop of the curve y-x (1-x, find its centroid. 4. To the area of the loop of the curve y-x(1-x), find its centroid. 5. To the area in the first quadrant under that arch of y=sin x nearest the y-axis, find its centroid. 6. Find the centroid of the area bounded by the curves y=x; x=y - y.
Transcribed Image Text:Centroid of Plane Areas: 1. Find the centroid of the area bounded by the curve y=2(1+x') and the coordinate axes. 2. To the area bounded by y=(1-x) and the x-axis, find its centroid. 3. To the area of the loop of the curve y-x (1-x, find its centroid. 4. To the area of the loop of the curve y-x(1-x), find its centroid. 5. To the area in the first quadrant under that arch of y=sin x nearest the y-axis, find its centroid. 6. Find the centroid of the area bounded by the curves y=x; x=y - y.
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