Answer:
E
Step-by-step explanation:
the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.
6. least and/or lowest (unsure)
7. lowest
I think the right answer is x`3 - 6x`2y + 12xy`2 - 8y`3 but its not here tho
Step-by-step explanation:
∑ₙ₌₀°° n! xⁿ
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! xⁿ⁺¹] / (n! xⁿ)│
L = lim(n→∞)│[(n+1)! / n!] (xⁿ⁺¹ / xⁿ)│
L = lim(n→∞)│(n+1) x│
L = ∞
The series is divergent for all values of x.
∑ₙ₌₀°° xⁿ / n!
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / (xⁿ / n!)│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] (n! / xⁿ)│
L = lim(n→∞)│(xⁿ⁺¹ / xⁿ) [n! / (n+1)!]│
L = lim(n→∞)│x / (n+1)│
L = 0
The series is convergent for all values of x.
A) build up of electricity charges on the surface of an object