Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
We have no idea how much is one faithful of a barrel.
You can solve this using the Quadratic Formula, x =
.
a = 1, b = -12, c = 59
x =
Multiply 4 and 1
x =
Multiply 2 and 1
x =
Multiply -4 and 59
x =
Square 12
x =
Subtract
x =
You can't find the square root of negatives, so factor the -92 out.
x =
You
can find the sqaure of 4, so take that out.
x =
Split the expression into two parts
x =
(+ or -)
The 2 in the numerator and the 2 in the denominator cancel each other out
x =
(+ or -)
Divide 12 by 2
x = 6 (+ or -)
Now, split the solution into the plus and minus parts.
Answer:
Composite
Step-by-step explanation:
A whole number that can be divided exactly by numbers other than 1 or itself. Example: 9 can be divided exactly by 3 (as well as 1 and 9), so 9 is a composite number
Answer:
3 hours
Step-by-step explanation:
288 ÷ 96 km/h = 3 hours
as time = distance ÷ speed