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:
15
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 20
base (b) = ?
we know by using Pythagoras theorem we get
b = √h² - p²
= √25² - 20²
= √225
= 15
Answer:
4
Step-by-step explanation:
20 divided by 5 equals 4
Answer:
2 16/25 or 2.64 pints.
Step-by-step explanation:
Turn the 6.6 into a fraction for calculation purposes. you get 33/5. since 3/5 is blue paint and the question wants white paint, calculate 33/5 × 2/5. You should get 66/25 as the answer.
<span>The number of ancestors going back through the <em>5th generation</em>, including Tle-nle and counting <em>Tle-nle as the 1st generation</em> is:
= 1 + 3 + 3^2 + 3^3 + 3^4
= (3^5 - 1) / (3 - 1)
= 242 / 2
= 121
Since we included </span>Tle-nle as the 1st generation, we will only compute up to the 4th power. If it is until the 6th generation, add 3^5 to the equation.
