Answer:
1.875
Step-by-step explanation:
Answer: x= -20
Step-by-step explanation: hope it helps thx for the points
Answer:
∑ₙ₌₀°° (-3x)ⁿ / n!
R = ∞
Step-by-step explanation:
Maclaurin series is:
∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
Find the nth derivative and evaluate at x=0:
f(x) = e⁻³ˣ
f⁽ⁿ⁾(x) = (-3)ⁿ e⁻³ˣ
f⁽ⁿ⁾(0) = (-3)ⁿ
The Maclaurin series is therefore:
∑ₙ₌₀°° (-3)ⁿ xⁿ / n!
∑ₙ₌₀°° (-3x)ⁿ / n!
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-3x)ⁿ⁺¹ / (n+1)!] / [(-3x)ⁿ / n!]│< 1
lim(n→∞)│(-3x) n! / (n+1)!│< 1
lim(n→∞)│3x / (n+1)│< 1
0 < 1
The radius of convergence is infinite.
Answer:2.1
Step-by-step explanation:
To find the mean absolute deviation,
find the mean
find the difference between each data value and the mean
take the absolute value of each difference
find the mean of these differences
{2, 2, 5, 7, 10, 10}
Number of values = 10
Sum of values = 2+2+5+7+10+10= 36
Average = 36/10 = 3.6
Deviation from the mean =
Deviation. Absolute value
2-3.6 = -1.6. 1.6
2-3.6 =-1.6. 1.6
5-3.6=1.4. 1.4
7-3.6 =3.4 3.4
10-3.6 =6.4. 6.4
10-3.6 =6.4. 6.4
Sum of absolute values= 1.6 + 1.6+1.4++3.4+6.4+6.4= 20.8
mean absolute deviation
=20.8/10= 2.08
= 2.1 to the nearest tenth
Answer:
2926cm
Step-by-step explanation:
I hope it hepls you