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

Answer:

coordinates of the centroid = $(\frac{2}{3} , \frac{2}{3} )$

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

attached below is the remaining part of the solution