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

Determine the value of X and the measure of midsegment.

Answers

5x-1 = 1/2(58)
5x = 30
X=6

Measure of mid-segment = 29

After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.

What is the decay factor for this situation?



A
0.05

B
0.50

C
0.95

D
1.05

Answers

The answer is A! Hoped I was able to help you out !bjjucyuvvhhhhhhhhhuuu

Adita has 21 flowers.
She wants to split them equally among 7 friends.
How many flowers can Adita give to each friend?

Answers

Answer:

3 flowers each

She gives 3 to each friend

Juan practices his trumpet for 24 minutes each day.

How many days will it take Juan to practice 72 minutes?

Enter your answer in the box.

Answers

Answer:

3 days

Step-by-step explanation:

72/24=3

Answer:

3 days

Step-by-step explanation:

you're welcome

Which one should I choose

Answers

Answer:

try x^2   X   6

Step-by-step explanation:

what is the partial product for 1,600 and 280

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x and find NM

Answers

Answer:

x = 9, NM = 41

Step-by-step explanation:

Since KL = ML  then the triangle is isosceles and LN is a perpendicular bisector, thus

NM = NK , substitute values

7x - 22 = 3x + 14 ( subtract 3x from both sides )

4x - 22 = 14 ( add 22 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Thus

NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41

plz help me this is a final!!!!

Answers

Answer: (a) 13 (b) 1

Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.

Answer:

A.13 b.-1

Step-by-step explanation:

a 6+7=13

b 6- -7=-1

Rewrite the expression as a product using the GCF and distributive property. 27 + 45

Answers

Step-by-step explanation:

GCF of 27 and 45 is 9

Answer: 9 (3+5)

Step-by-step explanation:

The GFCF of these two numbers is 9 as they can both be divided by it

Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with

27/9=3 + 45/9=5

So, keeping this in mind the distributive property form would be 9(3+5)

Answer 9(3+5)


guys I need help with both of the questions

Answers

Part 1: 93.75

Explanation: 75% = 0.75
125 x 0.75 = 93.75

Part 2: 200 total freshman

Explanation: 90 = part
45% = 0.45 = percent
Meaning the whole is missing

90/0.45 = 200



10 points for correct answer and giving brainliest

Answers

Answer:G

G is the correct inequality.

what is the answer to (7×10^5)×(3×10^2)

Answers

Answer:

210000000

Step-by-step explanation:

Pls help me I am d$mb...

Answers

Answer:

ur not domb

Step-by-step explanation:

How do you write this in a expression?please answer quick (take away a number n from 24)

Answers

Answer:

24-n

Step-by-step explanation: hope this helps if it does pls give brainliest tysm!

Answer:

24-n

Step-by-step explanation: we taking away so that is substraction.

Answer the following question

9
12
7
6

Answers

7jsjjajjsjsjsujehhuudnjkg

Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
a.
9%
b.
14%
c.
18%
d.
26%

Answers

Answer:

its B on e2020

Step-by-step explanation:

14%

If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.

What should the income tax rate be?

Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.

In order to determine the income tax rate, take the following steps:

Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion

Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion)  x 100 = 14%

To learn more about taxes, please check: https://brainly.com/question/25311567

4. Select all the expressions that are less than 3,467.
5
A. 3,467 x
B. 3,467 x
C. 3,467 x
D. 3,467 x
E. 3,467 -

Answers

I think the only answer is E

HURRY ANSWER!!!!!!!!1 3^3+5⋅5

Answers

Hello,

The correct answer is 52!
Hope this helps!
Brainliest?

Answer:

52

Step-by-step explanation:

Assuming that it is: [tex]3^3+5*5[/tex]

[tex]3^3+5*5\\\\27+5*5\\\\27+25\\\\\boxed{52}[/tex]

Hope this helps.

Best answer gets brainliest!!!
Choose 3 plz!

Answers

I believe that the answer B,D,and E

Answer:

A, D, and E (I think)

Step-by-step explanation:

I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol

Find the domain and range of the function y = f(x) in the graph

Answers

Answer:

A.

Step-by-step explanation:

Answer:

a. Domain -4 ≤ x ≤ 3, Range 0 ≤ y ≤ 5

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, we see that our x-values span from -4 to 3. Since both dots are closed dots, they are inclusive in the domain:

[-4, 3] or -4 ≤ x ≤ 3

According to the graph, we see that our y-values span from 0 to 5. Since both dots are closed dots, they are inclusive in the range:

[0, 5] or 0 ≤ y ≤ 5

50 POINTS!!! Type the correct answer in each box. Use numerals instead of words.
A publishing company conducted a survey asking readers whether they use e-readers. Of the 3,000 readers surveyed, 1,954 said they read
books on an e-reader.
Use this information to complete the statement. Round your answers to the nearest hundredth.
The approximate sample proportion is
which means that
% of the readers surveyed do not use e-readers.

Answers

Answer:

The correct answer to this is 200 and 34.90%

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 3000, so we can write it down as 100%=3000.

4. We know, that x% equals 1046 of the output value, so we can write it down as x%=1046.

5. Now we have two simple equations:

1) 100%=3000

2) x%=1046

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=3000/1046

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1046 is what percent of 3000

100%/x%=3000/1046

(100/x)*x=(3000/1046)*x       - we multiply both sides of the equation by x

100=2.868068833652*x       - we divide both sides of the equation by (2.868068833652) to get x

100/2.868068833652=x

34.866666666667=x

x=34.866666666667

now we have:

1046 is 34.866666666667% of 3000

Sample proportion = 0.65

And, The percentage of the sample proportion = 65%

The percentage of the readers surveyed do not use e-readers = 35%

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given sample size is,

'n' =3000

Of the 3,000 readers surveyed, 1,954 said they read books on an e-reader.

Hence, The probability that The readers surveyed use e-readers sample proportion is,

p = 1954 / 3000

p = 0.6513

Hence, The percentage of the sample proportion is, 65%

And, The readers surveyed do not use e-readers is,

q = 1 - p

q = 1 - 0.651

q = 0.349

Thus, Sample proportion = 0.65

And, The percentage of the sample proportion = 65%

The percentage of the readers surveyed do not use e-readers = 35%

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ7

PLZ HELP ASAP!!!!!


Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

The volume of a spherical balloon is increasing at the constant rate of 8 cubic feet per minute. How fast is the radius incresing when the radius is exactly 10 feet? How fast is the surface area increasing at that time?

Answers

Answer:

Rate of increase of radius = 0.0064 ft/sec

Rate of increase of surface area = 1.61 [tex]ft^2/sec[/tex]

Step-by-step explanation:

Given that:

Rate of change of volume of a spherical balloon = 8 cubic feet per minute

[tex]\dfrac{dV}{dt} = 8 ft^3/min[/tex]

Radius, [tex]r[/tex] = 10 feet

To find:

The rate of change of radius at this moment and rate of change of surface area at this moment?

Solution:

First of all, let us have a look at the formula:

[tex]1.\ V = \dfrac{4}{3}\pi r^3\\2.\ A =4\pi r^2[/tex]

Now, differentiating the volume and area, we get:

[tex]\dfrac{dV}{dt} = \dfrac{4}{3}\times 3 \pi r^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dV}{dt} = 4 \pi r^2 \dfrac{dr}{dt}[/tex]

[tex]\dfrac{dA}{dt} = 4\pi \times 2 r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\pi r \dfrac{dr}{dt}[/tex]

[tex]\dfrac{dV}{dt} = 8 = 4\pi r^2 \dfrac{dr}{dt}\\\Rightarrow 8 = 4\times 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow 2 = 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dr}{dt} = 0.0064\ ft/sec[/tex]

[tex]\dfrac{dA}{dt} = 8\times \pi \times r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\times 3.14 \times 10 \times 0.0064\\\Rightarrow \dfrac{dA}{dt} = \bold{1.61 \ ft^2/sec}[/tex]

Find the solutions by using the quadratic formula: *
y=x2 – 5x +11

Answers

:)))))))))))))))))))))))

Solve the inequality. Graph the solution.

−8≤z+6.4
The solution is

Answers

Solve the inequality. Graph the solution.

−8≤z+6.4
The solution is

5. A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold for $100 each. A graph depicts these three types of tickets sold for their Friday night game. What does the point of intersection represent?
A) When all three ticket prices generate the same revenue.
B) When all three types of tickets have sold the same amount.
C) When all three types of tickets cost the same amount
D) When all three types of tickets reach their maximum revenue​

Answers

Answer: A) When all three ticket prices generate the same revenue.

Step-by-step explanation:

Reserved tickets cost $20 each.

Field-level tickets cost $50 each.

Seat tickets cost $100 each.

Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:

R(x) = x*$20

If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:

F(w) = w*$50

If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:

S(y) = y*$100

Those equations will intersect when:

R(x) = F(w) = S(y)

This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:

A) When all three ticket prices generate the same revenue.

The fence is 106 meters long. Each section of fence is 3 meters long. How many sections were needed to complete the fence?

Answers

answer: approximately 35
explanation:
divide 106 by 3 = 35.33

solve for s
1/2 s = 7/2​

Answers

i think it’s
7/2=3.5
3.5/2
=7

Answer:

its 7 thats the answer lol

Which would describe a translation 2 unis left and one unit up

Answers

Answer:

(2, 1) or (1, 2)

Step-by-step explanation:

I not sure :3 I think its most likely (1, 2)

HELP ASAP!! Which representation shows y as a function of x ?

Answers

Answer:

It is the first answer

Step-by-step explanation:

For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.

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