To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
Answer:
let'ssssssssss gooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
19.8416 pounds in 9 kilograms
2 + 2 - 1 + 1267788 - 100
Using BODMAS (Order of operations);
We add first:
2 + 2 + 1267788 = 1267792
Secondly we subtract:
-1 - 100 = -101
Finally add the two answers:
1267792 + -101 = 1267691
Answer:
13/35 or .371428571
Step-by-step explanation:
cause its 26/14 / 5
