Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation

Answers

Answer 1

Step-by-step explanation:

in newton rapson method

[tex]x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}[/tex]

Let [tex]n=n-1[/tex]

[tex]x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]

[tex]x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]


Related Questions

An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416​

Answers

Answer:

The answer is B

Step-by-step explanation:

If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

An insurance company offers a term life insurance policy with a renewable premium.

The first year premium is $900

The premiums increase 5.5% each year,

[tex]A=Pe^r^t[/tex]

5.5%=5.5/100 =0.055

[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]

[tex]A=900e^0^.^3^8^5[/tex]

A=900×1.46

A=$1308

Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

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A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST

Answers

Answer:

13 so yeah it correect

Which of the following terms describes the 3 in the expression 3x+7

Answers

Answer:

3

Step-by-step explanation:

A package of 5 pairs of insulated gloves costs ​$32.45. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

What is -6 (-4y + 8)

Answers

your answer is 24y-28

Answer:

24y-48

btw just downloaded a app called YHomework it shows the steps

Find the value of c -(x-5)(x+c)=x^2+2x-35

Answers

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 )  / 6 − x

Step-by-step explanation:

20356000000000000 scientific notation

Answers

Answer:

2.0356 × 1016

Step-by-step explanation:

Graph the equation below.

y= 5/4 x-1

Answers

Answer:

In the photo (I hope this helps)

Step-by-step explanation:

PLEASE HELP ME i’ll mark brainliest ! i added some extra points too

Answers

We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).

By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!

The solutions to the equation are the X coordinates where the graph crosses the X axis.

They are -5,-2 and 4.

Does this scatter plot show a positive trend, a negative trend, or no trend?​

Answers

it shows a negative trend

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

Find -8 1/4 divided (-2 5/12) write your answer as a mixed number in simplest form

Answers

Answer:

I believe the answer is 3 12/29

How many solutions are there to: 8x + 7 = 7 + 8x.​

Answers

Answer: X make the equation true

Step-by-step explanation:

25 = 4x - 7, then x=

Answers

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7        +7

32=4x

32/4  4x/4

8=x

25 points for correct answer and giving brainliest

Answers

Answer:

y=20x + 4

x = 6 (max amount)

20(6) = 120

120 + 4 = 124

Max of 124.

y=20(0) + 4

y = 4

Min of 4.

Range

4<y<124 ; {4, ... , 124}

G

Here is a balanced hanger diagram:
A circle has a mass of 3 grams and a square has a mass of 2 grams.
Which is the mass of a triangle?
a. 9/5 grams
b. 715 grams
c. 3 grams
d. 11 grams

Answers

Answer:

D

Step-by-step explanation:

11 grams because the the most logical.

 Option C. 3 grams is the answer.

    Mass given,

One circle = 3 gramsOne square = 2 grams

For the balanced hanger diagram,

Mass on left arm = Mass on right arm

Mass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)

Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)

Equation for the balanced hanger,

2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)

Now solve this equation,

(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)

3.(one square) + 1.(one circle) = 3.(one triangle)

3.(2) + 1.(3) = 3.(one triangle)

6 + 3 = 3.(one triangle)

One triangle = 3 grams

    Therefore, Option (C) will be the correct option.

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A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

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mi hermana necesita ayuda​

Answers

Answer:

Leaf is 8

Pumpkin is 0

Coffee is 16

Step-by-step explanation:

Please help me solve ASAP

Answers

the answer is a
hope this helped

Answer:

Step-by-step explanation:

first just look at the graph

its very obvious its a linear graph because it is going up in a straight line at a steady pace

so we can then just ignore the answers that say its not a linear function

then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2

so we are left with one the final answer

its equation is y = x + 2 and it is a linear function

hope this helps <3

I need help because i cant to answer on my own

Answers

It maybe C since the cube is labeled 1-6 and the coin can land on either heads or tails.

The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play

Answers

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio

Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90, how many bags must she sell to earn at least $200.

Answers

Answer:

Step-by-step explanation:

.90-.35=.55

200/.55=364 bags i think

Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.

Given :

Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90.Total profit earn = $200

The following steps can be used to determine the total number of bags she sells to earn the profit of $200:

Step 1 - First find the total profit she earns to sell one bag.

= 0.90 - 0.35

= $0.55

Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.

[tex]=\dfrac{200}{0.55}[/tex]

= 363.63 [tex]\approx[/tex] 364 bags

She sells a total of 364 bags to earn a profit of $200.

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John made $172 last weekend. He worked 11 hours. How much money does John make each hour? *

Answers

Answer:

15.63

Step-by-step explanation:

172/11

15.636363...

BRAINLIST SOFAST IF U HELP ME

Answers

Answer:

?

Step-by-step explanation:

?

what the last person said

Select all the equations below that have a slope of -5.

A
y=2x−5

B
y=−5x+2

C
y=10−5x

D
y=10x−5

Answers

B. y=-5x+2 has a slope of -5.

Given -1/2x>6 choose the solution set

Answers

-1/2x > 6

All you have to do is divide 6 by -1/2, which is -3. The answer is x < -3, the sign got flipped because you divide by a negative number.

Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously

Answers

Answer:

6090

Step-by-step explanation:

PLEASE HELP MULTIPLE CHOICE i’ll mark brainliest i also added extra points !!

Answers

the correct answer is b:)

what is 1/5 x 5 1/3? help please

Answers

Answer:

1  1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide

Answers

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?

Answers

Answer: 1.8 cans

Step-by-step explanation:

Answer:

1.85 cans of dog food.

Step-by-step explanation:

You need to divide 13 cans by 7 dogs.

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