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Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid (x, y) of D are given below, where A is the area of D. x = 1 1 f. x² oy, y = − 1 2 ( x² dx X - 2A 2A Use the formulas to find the centroid of the triangle with vertices (0, 0), (a, 0), and (a, b), where a > 0 and b > 0. 2a b (x, y) = 3' 3

Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid (x, y) of D are given below, where A is the area of D. x = 1 1 f. x² oy, y = − 1 2 ( x² dx X - 2A 2A Use the formulas to find the centroid of the triangle with vertices (0, 0), (a, 0), and (a, b), where a > 0 and b > 0. 2a b (x, y) = 3' 3

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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Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid (x, y) of D are given below, where A is the area of D. 1 1 fy² dx • ZA & x $ $ 2A X = (x, y) = ( 2a 3 x² dy, Use the formulas to find the centroid of the triangle with vertices (0, 0), (a, 0), and (a, b), where a > 0 and b > 0. b 7 == 2A
Transcribed Image Text:Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid (x, y) of D are given below, where A is the area of D. 1 1 fy² dx • ZA & x $ $ 2A X = (x, y) = ( 2a 3 x² dy, Use the formulas to find the centroid of the triangle with vertices (0, 0), (a, 0), and (a, b), where a > 0 and b > 0. b 7 == 2A
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