Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 2x − 4x3, a = −1 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 12(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 4(x + 1)2 − 12(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 12(x + 1)2 + 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 12(x + 1) + 10(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 4(x + 1)2 + 12(x + 1)3

Answers

Answer 1

Answer:

  f(x) = 2 - 10 (1 + x) + 12 (1 + x)^2 - 4 (1 + x)^3

Step-by-step explanation:

The general form of the series is shown in the attachment. For the purpose here, we need to evaluate f(-1), f'(-1), f''(-1) and so on.

  f(x) = 2x -4x^3;  f(-1) = 2(-1)(1 -2(-1)^2) = (-2)(-1) = 2

  f'(x) = 2 -12x^2;  f'(-1) = 2 -12(-1)^2 = -10

  f''(x) = -24x;  f''(-1) = -24(-1) = 24

  f'''(x) = -24;  f'''(-1) = -24

So, the series is ...

  f(x) = 2 -10(x +1)/1! +24(x +1)^2/2! -24(x +1)^3/3!

  f(x) = 2 -10(x +1) +12(x +1)^2 -4(x +1)^3 . . . . . . . matches the first choice

Find The Taylor Series For F(x) Centered At The Given Value Of A. [Assume That F Has A Power Series Expansion.

Related Questions

what are the steps for using integar tiles to evaluate the expression 45 divided by 15

Answers

Answer:

1. Gather 45 tiles

2. Split them up into groups of 15. Your answer will be the amount of piles you  end up with. Hope this helps!

How many fish a are in the box

Answers

Answer:

Where is the box?

Step-by-step explanation:

So I can help you

An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.
What is the probability that the die lands on 4 and the card is a heart?
Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

1/24

Step-by-step explanation:

1 of the 6 possible rolls is a 4, meaning there is a 1/6 probability of rolling 4.

13 of the 52 cards are hearts, meaning that there is a  1/4 probability of drawing a heart.

1/6 * 1/4 = 1/24

What statement accurately describes the scatter point?
A. There are three distinct clusters.
B. There are no outliers.
C. There is one outlier.
D. There are two outliers.

Answers

D- there are two outliers

faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!

Answers

Answer:

English Plz

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

C

Step-by-step explanation:

HJN IS SIMILAR TO PQN

Need help. not in college

Answers

The length of ab is 24

PI is the _ of a circle's _ to its _

Answers

Answer:

ratiocircumferencediameter

Step-by-step explanation:

Pi is the ratio of a circle's circumference to its diameter.

_____

We suspect you have answer choices for filling in these blanks. Besides the words shown above, there are other ways they can be filled:

  Pi is the ratio of a circle's area to its radius squared.

  Pi is the measure of a circle's central angle to its diameter endpoints.


How many unique ways are there to arrange the letters in the word PRIOR?

Answers

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

A University of Florida economist conducted a study of Virginia elementary school lunch menus. During the state-mandated testing period, school lunches averaged 863 calories. The economist claims that after the testing period ends, the average caloric content of Virginia School lunches drops significantly.

Set up the null and alternative hypotheses to test the economist’s claim.

Answers

Answer:

Null hypothesis: u = 863

Alternate hypothesis (H1): u < 863

Step-by-step explanation:

a. Null hypothesis: u = 863

The null hypothesis implies that the average caloric content of Virginia School lunches is equal to 863.

b. Alternate hypothesis: u < 863

The alternate hypothesis implies that the average caloric content of Virginia School lunches is less than 863, that is, it drops significantly.

What is the length of AC? Brainliest for right answer

Answers

Answer:

2.3 units

Step-by-step explanation:

What is the sum in simplest form I ready diagnostic please hurry

Answers

example:

The value of x is 22

Step-by-step explanation:

We are given that there are two numbers

First number is x

second number is 35

The sum of x and 35 is 57

so, we get equation as

now, we can solve solve x

So, subtract both sides by 35

Factor.

Z^2- 3z – 18

Answers

Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

z^2-6z + 3z -18

z(z-6)+3(z-6)

(z+3)(z-6)

tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.

what is the multiplier

what is the daily percent rate?

using the cost of a ticket today as your initial value write an exponential equation that models this situation

what will be the cost of a pair of concert tickets in one week from today

what was the cost of a pair of tickets three days ago?

Answers

Answer:

multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85

Step-by-step explanation:

a) The daily multiplier is 108/96 = 1.125

b) The daily percentage change is 1.125 -1 = .125 = 12.5%

c) The function can be written as ...

  price = (initial value)·(daily multiplier)^t

  p = 108·1.125^t

d) for t=7, put the number in and do the arithmetic.

  108·1.125^7 ≈ 246.32 . . . dollar cost in a week

e) same deal, for t=-3

  108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago

What is the circumference of the following circle?
9 cm

Answers

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

Calculating circumference of a circle

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

Learn more on Calculating circumference of a circle here: https://brainly.com/question/12823137

This area model shows 50 X 38 Which number is missing from the model

Answers

Answer:

69

Step-by-step explanation:

−5y=−5
7x+6y=7

Is (5,1) a solution of the system

Answers

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.

Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjacent to the yellow bead?

Answers

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966


brainliest quick!

Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.

Answers

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

What are prime number​

Answers

A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.

In other words, prime numbers are the numbers

divisible by 1 and the number itself.

For example, let us take 2.

2 has only two factors and those are 1 and 2 so it's prime.

Similarly, 7 is also a prime number because it has only two factors

and these are 1 and the number itself which is 7.

Answer:

A number that is only divisible by itself and 1

Step-by-step explanation:

Solve for a given 2e^a =4b

Answers

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

Question 11 of 15

Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45

millimeters. How much water can Micah fill in his cup?

Answers

Answer:

  36.644 mL . . . . depending on your value of π (see below)

Step-by-step explanation:

The height of Micah's cup is found from the radius and slant height. The radius is half the diameter, so is 36 mm. Then the height h is ...

  45² = 36² +h²

  h = √(45² -36²) = 27 . . . . . mm

The volume is given by the formula ...

  V = (1/3)πr²h

  V = (1/3)π(36 mm)²(27 mm) = 11664π mm³

For π = 3.14

  11664(3.14) mm³ ≈ 36,625 mm³ = 36.625 mL

For π = 3.14159265

  11665π mm³ = 36,644 mm³ = 36.644 mL

_____

Comment on units

A unit of measure used for relatively small volumes, especially of liquid, is milliliters (mL). 1 mL = 1000 mm³.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes

Answers

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

B(4,8) and C(8,0) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.

Answers

Answer:

(6,4)

Step-by-step explanation:

I just did quick math in my head.

Complete A and B for 5-8 points.

Answers

Answer:

a) 4 hours

b) 11 am

Step-by-step explanation:

So say the number of hours is x

a) 72 + 6x = 96

6x = 24

x = 4

b) 7am + 4 hours = 11am

list all the factor means use divisibility rules of 102,232​

Answers

Answer:

  102,232​ = 2·2·2·13·983

Step-by-step explanation:

  102,232​ ends in 32, so is divisible by 4

  102,232/4 = 25558 ends in 2, so is divisible by 2

  25558/2 = 12779

     is not even, so is not divisible by 2

     has a sum of digits mod 9 of 8, so is not divisible by 3 or 9

     does not end in 0 or 5, so is not divisible by 5

     gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7

     gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11

     gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13

  12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:

  102,323 = 2·2·2·13·983

_____

Divisibility rules:

Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.

  2: ends in even digit

  3: sum of digits is divisible by 3

  5: ends in 0 or 5

  7: subtracting 2 times the last digit from the rest is divisible by 7

  11: difference of sums of alternate digits is divisible by 11

  13: there are several rules. A couple of useful ones are

the sum of 4 times the last digit and the remaining number will be divisible by 13 (used above)the difference of the sums of alternate groups of 3 digits will be divisible by 13 (232-102 = 130, for the number above; is divisible)

  17: subtracting 5 times the last digit from the rest is divisible by 17

  19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19

  23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23

  29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29

  31: subtracting 3 times the last digit from the rest is divisible by 31

Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees

Answers

Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi​

Answers

Answer:

  1024 pi

Step-by-step explanation:

The area formula is ...

  A = πr^2

So, the radius is ...

  r = √(A/π)

For the given area, the radius of the cylinder is ...

  r = √(64π/π) = 8 . . . . cm

The height is said to be twice this value, so is 16 cm.

__

The volume of the cylinder is found from ...

  V = Bh

where B is the base area and h is the height. Our cylinder has a volume of ...

  V = (64π cm^2)(16 cm) = 1024π cm^3

The angle of elevation from the top of a building to the top of another is 45°.
The distance between the feet of these two buildings is 402 m.
What is the distance between the top of the two buildings?

Answers

Answer:

402m

Step-by-step explanation:

Set this up as a triangle and use trig to solve it:

tan(45) = y/402

y = 402*tan(45)

substitute: tan(45) = 1

y = 402 * 1

y = 402m

In the diagram, the measure of angle 9 is 85°
Which angle must also measure 85°?
<2
<5
<11
<12
Please help, need answer ASAP !! :)

Answers

Answer: 11

Step-by-step explanation:

Vertically opposite angles

Answer: <11

Step-by-step explanation:

<9 and <11 are vertical angles, so they are congruent.

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