Answer:
W = 21.44*10⁶J
Step-by-step explanation:
Given
y = x² (0 < x < 4)
γ = 10000 N/m³
W = ?
If we apply
y = 4² = 16 = h
y = x² ⇒ x = √y
then
V = π*(√y)²*dy = π*y*dy
W = (γ*V) *(16-y) = γ*π*y*dy*(16-y)
⇒ W = γ*π*∫y*(16-y)dy = γ*π*(8y²-(y³/3))
finally we obtain (0 < y < 16)
W = γ*π*(8y²-(y³/3)) = 10000*π*(8*16²-(16³/3)) = 21.44*10⁶J
Answer:
1. 8x + 2y = 16
Step-by-step explanation:
3x - 12y = 10
12y = 3x - 10
y = 1/4 x - 5/6 .... slope: 1/4
perpendicular line slope: -4
8x + 2y= 16
2y = -8x + 16
y = -4x + 8 .... slope: -4
In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.
Is this a question or an answer
Answer:
z = - 1
Step-by-step explanation:
z + (z - 6) - 2 = - 10 ← remove the parenthesis on left side
z + z - 6 - 2 = - 10 , that is
2z - 8 = - 10 ( add 8 to both sides )
2z = - 2 ( divide both sides by 2 )
z = - 1
