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:
1.56666666667 MPH simplified its 1.5MPH
Step-by-step explanation:
divide 94 by 60 to get the constant speed of mph.
Solve for w by simplifying both sides of the equation, then isolating the variable.
w=−4
Let's solve your equation step-by-step.
22=2(w+7)−4w
Step 1: Simplify both sides of the equation.
22=2(w+7)−4w
22=(2)(w)+(2)(7)+−4w (Distribute)
22=2w+14+−4w
22=(2w+−4w)+(14) (Combine Like Terms)
22=−2w+14
22=−2w+14
Step 2: Flip the equation.
−2w+14=22
Step 3: Subtract 14 from both sides.
−2w+14−14=22−14
−2w=8
Step 4: Divide both sides by -2.
−2w
/−2
=
8
/−2
Answer:
w=−4