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  • 18-08-2020
  • Mathematics
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Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordi nates of the centroid. y=2x, y=0, x=1

Respuesta :

batolisis
batolisis batolisis
  • 18-08-2020

Answer:

coordinates of the centroid = [tex](\frac{2}{3} , \frac{2}{3} )[/tex]

Step-by-step explanation:

The curves to be plotted are : y =2x, y = 0, x =1

The coordinates of the centroid ( visually estimated ) can be found by first calculating the area of the region

A = [tex]\int\limits^1_0 {2x} \, dx[/tex]  =   2[tex](\frac{x^2}{2} )[/tex] hence A = 1

attached below is the remaining part of the solution

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