Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
Start by writing what is said:
2x + 4 = -6
From there just solve for x:
Subtract 4 from both sides
2x + 4 - 4 = -6 - 4
2x = -10
Divide by 2 to get x by itself
2x/2 = -10/2
x = -5
Answer:
see image
Step-by-step explanation:
The two circles will represent "starter" or "pudding" people and the overlap are both, but also don't forget people who chose neither. There must be 3-neither people. Because 6+7+8 only add to 21 and the question said there were 24 people.
9514 1404 393
Answer:
(b) 36.56 ft
Step-by-step explanation:
The perimeter is the total of the circumference of a 4 ft circle and two lengths that are 12 ft.
The circumference is given by ...
C = πd
C = (3.14)(4 ft) = 12.56 ft
Adding the 24 ft of straight sections, we find the total perimeter to be ...
P = 12 + 12 + 12.56 = 36.56 . . . feet
Answer:
The mode is twelve.
Step-by-step explanation:
The mode of a data set is the number that appears the most often. I've added an attachment so that you might be able to see some examples.