Question

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

Answer 1

coordinates of the centroid =
`((2)/(3) , (2)/(3) )`

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 =
`\int\limits^1_0 {2x} \, dx` = 2
`((x^2)/(2) )` hence A = 1

attached below is the remaining part of the solution