View answer attached below
F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
1/2 I guess I don't think you typed in the question correctly. Not trying to be mean.
Answer: x=3
Step-by-step explanation: Subtract 6 from both sides, Simplify
15−6 to 9, and then divide both sides by three.
3x=15−6
3x=9
x=9/3
x=3
Hope this helps, have a BLESSED day! ☺️