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The geometry is defined by the blue surface. x₁-2 cm, x2=6 cm, x3 10cm and y₁=6 cm. y₁ ус с x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface.

The geometry is defined by the blue surface. x₁-2 cm, x2=6 cm, x3 10cm and y₁=6 cm. y₁ ус с x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface.

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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For this homework, you need to find twice the location of the centroid of this surface. The geometry is defined by the blue surface. x₁-2 cm, x₂=6 cm, x3=10cm and y₁=6 cm. y₁ ус 20₁ J4 x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface. 2) Use the composite bodies method to find the location of C a) Find the area of each usual shape and the total area. b) Find the location of the centroid of each shape. c) Find xc and yc, the location of the centroid of the surface. In the box below enter xc, the abscissa of the centroid C in cm, with 2 decimals.
Transcribed Image Text:For this homework, you need to find twice the location of the centroid of this surface. The geometry is defined by the blue surface. x₁-2 cm, x₂=6 cm, x3=10cm and y₁=6 cm. y₁ ус 20₁ J4 x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface. 2) Use the composite bodies method to find the location of C a) Find the area of each usual shape and the total area. b) Find the location of the centroid of each shape. c) Find xc and yc, the location of the centroid of the surface. In the box below enter xc, the abscissa of the centroid C in cm, with 2 decimals.
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