Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
Answer:
After 6 days, 3 bottles will be left.
Step-by-step explanation:
Given that:
Number of bottles = 15
Number of bottles drank each day = 2
Let,
d be the number of days
y be the number of bottles left
y = 15 - 2d
Now,
We have to find the number of days when 3 bottles will be left.
Putting y=3
3 = 15 - 2d
2d = 15 - 3
2d = 12
Dividing both sides by 2

Hence,
After 6 days, 3 bottles will be left.
Answer:
Mean of the binomial distribution
μ = 174.972 bolts
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective
The proportion of the defective item

<u><em>Step(ii):-</em></u>
Let 'x' be a random variable in a binomial distribution
Mean of the binomial distribution
μ = np
μ = 840 ×0.280
μ = 174.972
<u><em>Final answer</em></u>:-
Mean of the binomial distribution μ = 174.972 bolts
Step-by-step explanation:
option (B) the second option
line DC is the line that extends in both directions infinitely..
Good luck ✅.
Answer:
B. 4d + 50 = 114
Step-by-step explanation:
Given parameters:
Hourly rate = $d/hr
Flat fee = $50
Charge for the 4hrs = $114
Number of hours = 4hrs
To find d;
Total cost = $114;
$114 = Flat fee + (rate per hour x number of hours)
$114 = $50 + 4d
The value of d can be calculate using;
4d + 50 = 114
The value of d is <em>4d + 50 = 114</em>