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 x2 dy 2A T. 1 y = - 2A y2 dx Use the formulas to find the centroid of the triangle with vertices (o, 0), (a, 0), and (a, b), where a > 0 and b > 0. (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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
x2 dy
2A T.
1
y = -
2A
y2 dx
Use the formulas to find the centroid of the triangle with vertices (o, 0), (a, 0), and (a, b), where a > 0 and b > 0. (x, y) =
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 x2 dy 2A T. 1 y = - 2A y2 dx Use the formulas to find the centroid of the triangle with vertices (o, 0), (a, 0), and (a, b), where a > 0 and b > 0. (x, y) =
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