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].
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
Depth (meters) = x
Pressure (atmospheres) = y
Using two pairs of values from the table, (13, 2.3) and (17, 2.7),
Rate of change of the water pressure = 
Rate of change of the water pressure = 0.1 atmospheres per meter
Answer: d
(-5,3)(5,7)
Slope = change in y /change in x
M= 7-3/5-(-5)
M= 4/ 10
M=4÷2/5÷2
M=2/5
Your slope is 2/5 in fraction form or 0.4 in decimal form
Answer:
Maybe the answer is 36% not sure.
