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).
<span>1.6. The Pearson Correlation Coefficient, otherwise known as r-value, must have a value between -1 and 1. It's used to measure how closely related two different variables are. -1 means negative linear correlation, 0 means no linear correlation, and 1 means positive linear correlation.</span>
Well, first off 1 hr =60 minutes. 60 min - 45 min = 15 minutes extra. what is one hour before 4:15? 3:15! Add the subtracted 15 minutes to get 3:30... Hope this helps
Step-by-step explanation:
pool = 1600 sq.cm
1600 sq.sm = 50cm × 32cm
AB = 50cm
the area of the park of A'B' :
50cm×4=200 sq.cm
Answer:
FG = 17x - 6
Step-by-step explanation:
FG = 12x + 5x + 10 - 4
