Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
Answer:
The surface area of the gift box is = 
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:

in this case, r is not a number, but rather an expression, which is r =
.
The height of the gift box is twice the radius, which is h = 
To get our curved surface area, we carefully put the expressions for h and r into the equation.




The surface area of the gift box is = 
Answer:
to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
Step-by-step explanation:
to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
Answer:
x^7-14x^6+84x^5-280x^4+560x^3-672x^2+448x^2-128
Step-by-step explanation:
ends are x^7 and 120^7, and use the therom in the middle