Well i you take 3/1200 you get 400 everyone will get that many
∂t/∂x = -46x/(8 +x² +y²)²
∂t/∂y = -46y/(8 +x² +y²)²
At (x, y) = (1, 1)
.. ∂t/∂x = -46/100
.. ∂t/∂y = -46/100
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).
65,754.6 since the nine would make the five round up to six
Answer:0.43 hours
Step-by-step explanation:
15
miles
35
miles
hour
=
5
⋅
3
5
⋅
7
hours
=
3
7
hours
=
0.43
hours
