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
Answer:
The answer would be D. 5
Step-by-step explanation:
Hello ^w^
I believe the answer you are looking for is A
I found this answer by adding up the lengths of all the sides.
S -> T = 8
S -> R = 7
Q -> R = 6
P -> Q = 6
P -> T = 10
10 + 6 + 6 + 7 + 8 -> 37
A -> 37
If I am incorrect, please inform me.
Have a good day!
Answer:
90 mL oil
210 g onions
1,350 g potatoes
1,500 mL milk
Step-by-step explanation:
You would just multiply each thing by 3, because the original recipe is for 5 but he wants to make it for 15, which is 3 times the original
Differentiate
y = (r² – 9r) · eʳ
with respect to r.
As y is a product of two functions, then use the product rule:
dy d
—— = —— [ (r² – 9r) · eʳ ]
dr dr
dy d d
—— = —— (r² – 9r) · eʳ + (r² – 9r) · —— (eʳ)
dr dr dr
• The derivative of r² – 9r is 2r – 9;
• The derivative of eʳ is eʳ.
Therefore,
dy
—— = (2r – 9) · eʳ + (r² – 9r) · eʳ
dr
dy
—— = [ (2r – 9) + (r² – 9r) ] · eʳ
dr
dy
—— = (r² – 7r – 9) · eʳ <——— this is the answer.
dr
I hope this helps. =)
