Answers
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.
Related Questions
105 people must be split into 3 equal groups. How many people in each group?
Answers
Answer:
35 people in each
Step-by-step explanation:
105÷3=35
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15
Answers
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?
Answers
Twenty five more than twice a number is fifty five. What is the number?
Answers
Answer:
15
Step-by-step explanation:
15x2 = 30
30+25 = 55
Answer:
Step-by-step explanation:
Note all operations:
twenty-five more than → addition → +25twice a number → multiplication → ×2is fifty-five → equal to → =55Create an equation, and make the unknown number be x. 25 is added to x multiplied by 2, which, in all, equals 55:
[tex]2x+25=55[/tex]
Now solve for x. Subtract 25 from both sides:
[tex]2x+25-25=55-25\\\\2x=30[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{30}{2} \\\\x=15[/tex]
The number is equal to 15.
:Done
CHECK:
Insert the value of x to see if it is true:
[tex]2(15)+25=55\\\\30+25=55\\\\55=55[/tex]
This is true, so the value of x is also true.
Find the measures of Angles A,B, and C
Answers
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
Determine the expression
Answers
trinomial and i believe its a degree of 4
11. Find the product of (4x-5) and (2x+7) in simplest form.
Answers
(4x - 5)(2x + 7)
8x^2 + 28x - 10x - 35
8x^2 + 18x - 35
What can be used as a factor to rewrite 16f^2-25g^2?
Answers
Answer:
B = 5g
16f2 - 25g2
Step-by-step explanation:
Determine whether 7,668 is divisible by 2,3,4,5,6,9, or 10.
Answers
Answer:
it's divisible by all except 5 and 10 bc it turns into decimals when you divide it by those 2 numbers
What is the equation for the following graph?
Answers
Answer:
x=4
Step-by-step explanation:
It takes andre 4 minutes to swim 5 laps. At this rate heswims how many laps per minute.
Answers
Answer: It takes him 1 minute and 25 seconds
Step-by-step explanation:
5 divided 4
4 times 1 = 4
5-4=1
put the decimal and make 1=10 Ans.: 1.25
4 times 2 = 8
10-8=2
put the 0 = 20
4 times 5 =20
20-20=100
Question 1
20 pts
Patty earns $81,223 a year. $13,725.35 in taxes was withheld in the
year. Private health insurance cost $5,600 a year. What is her
monthly after-tax income?
$5,158.14
$5,490.90
O $5,521.80
$5,383.12
Answers
Answer:
$5,158.14
Step-by-step explanation:
$81,223 - $13,725.35 - $5,600 = $61 897.65
$61 897.65 ÷ 12 = $5158.1375 ⇒ $5158.14
In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?
Answers
5081 divided by 203, the quotient is? Siusjsia
Answers
Answer:
The quotient is 25.0295566502.
A cereal box has 30% more cereal in its new box. The original box held 33.5 ounces. How much cereal does the new packaging hold?
Answers
Answer:
43.55 ounces
Step-by-step explanation:
30% of 33.5 would be 10.05, since the new box is 30% more, you add the 10.05 to the original 33.5
One pound of candies costs $3.50.
How many pound of candies can be bought for $7?
Answers
Answer: 2 pounds
Step-by-step explanation: 3.50 + 3.50 = 7$ so the answer is 2
Answer:
2 pounds of candy can be bought for $u
Step-by-step explanation:
We have 2 "$3.50" in "$7" and we know that for every $3.50 we have, we can buy 1 pound of candies. Therefore, for $7, we can buy 2 pounds of candies
I hope this helps! :)
ΔXYZ was reflected to form ΔLMN. Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees. Which statements are true regarding the diagram? Check all that apply.
Answers
Answer:
A,B,C and F
Step-by-step explanation:
i just took the assignment
Answer:
a,b,c,f
Step-by-step explanation:
edg 2021
I need help ASAP
Choose the following equations that are TRUE:
A 4+4+4= 3 x 4
B 4-3 = -43
C (43)* = 412
D 4² (44) = 47
E 4° = 0
1
וד
(
43
= 4-3
G 4 x 4 x 4 = 42
Answers
a is correct
Step-by-step explanation:
a 12=12
if we add4 three times then answer =12 and if do 3×4 then answer is also 12
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answers
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Which equation has the correct sign on the product?
A 45(-4)=180 B 13•3= -39
C (-8)(-8)= -64 D (-18)4 = -72
Answers
answer:
the answer is a
Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?
Answers
Answer:
23.6) $30.00
24.7) $9.27
25.8) I'm not sure
26.9) 40 nickles
Step-by-step explanation:
You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?
I need an expression and a solution
Answers
I'm pretty sure it's this:
Answer:
y=a( 1+ r/n)^ nt
growth is a= 2500 yearly is n= 1
y= 2500( 1+ .065/1)^ 1.7 = $3884.97
Describe the graph of the line y =-5
Answers
Answer:
a horizontal line pass the y axis of -5
a nursery sells kentucky bluegrass seed for $5.75 per pound and tall fescue seed for $4.50 per pound. the nursery sells a mixture of the two kinds of seed for $5.25 per pound. let k represent the amount of kentucky blue grass seed the nusery uses in in 5 pounds of the mixture
Answers
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
Given that:
Per pound cost of kentucky bluegrass seed = $5.75
Per pound cost of tall fescue seed = $4.50
Per pound cost of mixture of seeds = $5.25
[tex]k[/tex] is the amount of kentucky blue grass.
Total amount of the mixture = 5 pounds
Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds
To find:
The value of [tex]k[/tex].
Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]
Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]
As per question statement:
[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]
Amount of kentucky blue grass seed used = 3 pounds
Amount of tall fescue seed used = 5-3 = 2 pounds
The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item
Answers
Set up equation [y-y1= m(x-x1)]
y-5 = -5/6(x-6)
And simplify.
Y=-5/6x +10
Then to find x intercept, plug in a 0 for y
0=-5/6x+10
-10=-5/6x. Subtract 10 from both sides.
-10/ -5/6 = x. Divide by -5/6 on both sides.
X=12
So the x intercept is 12 or (12,0)
13. What is the value of x?
t
(2x +40)
(x +90°
С
D
A. 25
B. 50
C. 75
D. 85
Answers
9514 1404 393
Answer:
B. 50
Step-by-step explanation:
The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.
2x +40 = x +90
x = 50 . . . . . . . . . . . subtract x+40
The value of x is 50.
_____
Check
2x+40 = 2×50 +40 = 140
x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be
___
Additional comment
The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.
to calculate the perimeter of the parallelogram you need the two side lengths 12 inches and 15 inches
Answers
Answer:
the answer would be 54
Step-by-step explanation:
If the shape is a parallelogram then two sides will be equal lengths. same with the other two sides.
if you need the perimeter then you need to add the lengths of all the sides. so that would be 12 12 15 and 15. Add those together and you get 54 inches.
Answer:
i think the answer is 54
#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%
Answers
Step-by-step explanation:
a movie theater charges $8 for adults and $5 for children. If there were 40 people altogether and theater collected $272
Answers
Answer: You can put this solution on YOUR website!
let's call the number of adults a and the number of children c.
so the total adults plus the total children equals 40 or a+c=40 or c=40-a
also we know that 8a+5c=272
substituting c's value in the 1st equation into the 2nd equation we get
8a+5(40-a)=272---->lets distribute that left side---->8a+200-5a=272
now let's combine like terms on either side of the equals sign.
3a=72 a=24
so we have highlight%2824-adults%29
and c=40-a(24)=highlight%2816-children%29
The graph of an equation with a negative discriminant always has which characteristic?
OO
no x-intercept
no y-intercept
no maximum
no minimum