Design an algorithm for computing reciprocal of a positive real number a > 0 that requires only addition and multiplication. For what values of x0 do the algorithm converges? Apply your algorithm to find the decimal expansion of 1/12 to 10 decimal digits of accuracy starting from x0 = 0.1 and x0 = 1. Discuss your results.

Answers

Answer 1

To compute the reciprocal of a positive real number a > 0 using only addition and multiplication, we can use Newton's method. The formula for Newton's method for finding the reciprocal of a is:

[tex]x_{n+1} = 2x_n - ax_n^2[/tex]  We start with an initial guess x0 and repeat the formula until we reach the desired accuracy.The algorithm converges for all positive values of a. To see why, note that the function f(x) = 1/x - a has a derivative f'(x) = -1/x^2, which is always negative for positive x. This means that the function is decreasing, and the iteration will converge to the root (which is the reciprocal of a).To find the decimal expansion of 1/12 to 10 decimal digits of accuracy starting from x0 = 0.1, we can use the following code in Python.

To know more about reciprocal click the link below:

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Related Questions

the guest would like to convert his 100 dollar to peso.How much will the guest receive if the exchange rate is 1 dollar=Php 50.50?​

Answers

Answer:

the answer is $100

I hope it helps

have a nice day

#Captainpower :~

what is processing unit?​

Answers

Answer:

A central processing unit, also called a central processor, main processor or just processor, is the electronic circuitry within a computer that executes instructions that make up a computer program.

Explanation:

Answer:

CPU is processing unit.

The main computer case containing the central components of a personal computer is central processing unit.

What are the basic parts of sewing machine?​

Answers

Answer:

1. Spool Pin  

Thread usually comes on a spool. That is the wooden thread holder you buy in the store. The spool pin holds the spool of thread for you making it easier for you to thread your machine and keep the thread coming as you want it to. Read about the spool pin felt.

2. Bobbin Binder Spindle  

A bobbin is a little cylinder that may come with or without flanges. It holds the thread that is wound around it. The spindle is where the bobbin is placed during winding.

3. Bobbin Winder Stopper  

The bobbin is only so large. It cannot always hold the amount of thread you want to put on it. This part stops the bobbin from collecting thread when it has reached full capacity.

4. Stitch Width Dial  

On many newer sewing machines, you get a variety of stitch options to use. The purpose of this part is to control the zig-zag stitch option while you are busy concentrating on your sewing.

5. Pattern Selector Dial  

This little dial allows you to select one stitch pattern out of the many that come built into your sewing machine. You just turn the dial to get the pattern that you want on your clothes and other fabrics you want to mend or create.

6. Hand Wheel  

This is the manual needle control which raises or lowers the needle. It is usually located at the right-hand side of the machine. It shouldn’t be that hard to turn.

7. Stitch Length Dial  

More recent sewing machines may have this part attached to them. Its purpose is to control the length of your selected stitch. This helps you stay in control of your sewing duties and make sure you get what you want and need.

8. Reverse Stitch Lever  

Once you push this lever, you get to sew in the opposite direction. This function makes your sewing a little easier and faster to do because you can go forward or in reverse when you need to.

9. Power Switch  

You already know what this switch does. The key to using it is to make sure you turned your sewing machine off before you walk away. Also, it should be located at the right side of your machine.

10. Bobbin Winder Thread Guide  

When you activate this part on your sewing machine, you are guiding the thread towards the bobbin/ This makes winding your thread up a little easier and should prevent twists, tangles or caught thread.

11. Thread Tension Dial  

Tension is important when you do your sewing. Too loose can cause you problems and too much tension could snap your thread and make sewing more time consuming as you have to re-thread the machine. This little part simply controls the tension on the thread so be careful when you use it.

12. Thread Take-Up Lever  

Your top thread passes through this part as you do your sewing. The lever moves up and down with your needle so do not be alarmed that it is constantly moving.

13. Needle Clamp Screw  

Needles do not stay in place by themselves. It would be nice if they did. You need this part to hold your needle where it is supposed to be. It also makes sure your needle is secure as it moves.

14. Presser Foot  

This is the part that holds your fabric so it doe snot slip all over the place while you are working. Controlling your fabric is important while you do your sewing.

15. Bobbin Cover  

Your sewing machine parts do need some protection to keep them in top working order and to help then last you for years. This is the job of the bobbin cover. It protects the bobbin as it covers it.

16. Bobbin Cover Release Button  

Also, you need access to your bobbin when it its filled with thread or there is a problem. This release button helps you to remove the bobbin cover so you have complete access to your bobbin.

17. Feed Dog  

It is an interesting name, but it has a very straightforward function., This part feeds your fabric through the sewing machine while you are sewing. This helps you concentrate on other sewing needs as you work.

18. Needle  

Another self-explanatory label that tells you everything you need to know. The needle is an integral part of the sewing machine and without it, the other parts cannot do their job.

19. Needle Plate  

This part is located right under the needle and an under the presser foot. Its job is to help move the fabric forward as you sew. It may help help push the fabric back when you use the reverse mode on your sewing machine.

Explanation:

3.1.2 Quiz: What Can Information Technology Do for You? Question 8 of 10 What is one reason why a business may want to move entirely online? A. To double the number of employees B. To avoid paying state and local taxes C. To focus on a global market D. To limit the number of items in its inventory​

Answers

Answer:

C. To focus on a global market

Explanation:

Information technology can be defined as a set of components or computer systems, which is used to collect, store, and process data, as well as dissemination of information, knowledge, and distribution of digital products.

An information technology interacts with its environment by receiving data in its raw forms and information in a usable format.

Generally, it is an integral part of human life because individuals, organizations, and institutions rely on information technology and systems in order to perform their duties, functions or tasks and to manage their operations effectively. For example, all organizations make use of information technology and systems for supply chain management, process financial accounts, manage their workforce, and as a marketing channels to reach their customers or potential customers.

Additionally, an information system or technology comprises of five (5) main components;

1. Hardware.

2. Software.

3. Database.

4. Human resources.

5. Telecommunications.

Hence, information technology or system relies on the data it receives from its environment, processes this data into formats that are usable by the end users.

One reason why a business may want to move entirely online is to focus on a global market through the use of social media platforms and networks to reach out to customers in various geographical location.

how telecommunications works?​

Answers

Answer:

Telecommunications are the means of electronic transmission of information over distances. The information may be in the form of voice telephone calls, data, text, images, or video. Today, telecommunications are used to organize more or less remote computer systems into telecommunications networks.

Explanation:

what is the definition of assiduous?

Answers

Answer:

showing great care and perseverance.

Assiduous is constant in application or effort; working diligently at a task; persevering; industrious; attentive: an

What are the three components of the fire triangle

Answers

Answer:

Fuel, oxygen, and heat.

Explanation:

a presentation is widely used to present ______ and ______ effectively​

Answers

Answer:

a presentation is widely used to present beautiful and more effectively

Explanation:

hope it will help you :)

guys do you know any websites that rewrites you text so you don’t get plagiarism?

Answers

it’s called typewrite.com !!!

Alice just wrote a new app using Python. She tested her code and noticed some of her lines of code are out of order. Which principal of programing should Alice review?

Hand coding
Line coding
Planning & Analysis
Sequencing

Answers

Answer:

Sequencing

Explanation:

I have taken the test

function of printer and speaker​

Answers

Nepal .... Free Fire

A virus which deceive the user by acting as a legitimate file.

Answers

Answer:

A Trojan virus

Explanation:

It acts like a bona fide application or file to trick you. It seeks to deceive you into loading and executing the malware on your device

Question #5
Multiple Choice
What is used within an HTML tag for additional information?
O attribute
O anchor
O hyperlink
metadata

Answers

Answer: Attribute

Explanation: Attribute is used in HTML tags for additional information. Correct on Edg 2021.

Answer: attribute

Edge '23

Write the Python programs for the
following:
To input a number and check if it is
even or odd number​

Answers

Answer:

num = int(input("Enter a number: "))

if (num % 2) == 0:

print("{0} is Even number". format(num))

else:

print("{0} is Odd number". format(num))

Need help ASAP

Thankss + BRAINLIST only for correct answers

Answers

Answer:

The purpose to the user is to buy items online.

The purpose to the creator is to have a worldwide service chain to deliver packages.

Vising this website gives access to the items consumers need and allows them to get them shipped right to their door.

It was made so the creator can lots of money along with making a lot of jobs to slow the unemployment rate.

Explanation:

I pulled a lot of this from my head and reading about schollarships Amazon has for students. Amazon is a shopping website. Therefore the user can buy things and it gives the creator money along with making jobs for others.

Your task is to identify three or more ways that big data is being collected on a regular basis, including one data collection method for each of the following categories:

Data collection on the internet
Digital data collection from a source other than the internet
Analog (non-digital) data collection being performed in physical places

For each of these data collection practices: Describe how the data collection occurs. Analyze the data collection process by answering the following five questions in complete sentences and to the best of your ability:

What data is being collected?
Why is this data being collected?
What are the likely benefits of this data collection?
How might this data collection cause harm?
How likely is it that this data can be accessed by others?

You may use the internet or any other available resources to identify and analyze these data collection strategies.

Answers

Answer:

Data is one of the most valuable resources today's businesses have. ... There are various data-gathering methods you can use with the help of your ... When it comes to data businesses collect about their customers, ... Third-party data offers much more scale than any other type of data, ... Big White Cursor.

Explanation:

The data is one of the most essential and the most important aspects of the  modern world and s collected each and every hour. The data forms an essential element of the internet and digital media.

The data is held soly responsible for the generation of numerous possibilities.The data collected can be used for further processing and creation of new contents.

Learn more about the tasks to identify.

brainly.com/question/20688743.

A client needed a software application to be delivered with a demo of the working software at every stage of development. The project head ensured that all the team members were in the same location. The work was completed in a short duration with minimal documentation and through continuous customer interaction. Which model did the team use? A agile B. spiral C waterfall D. RAD ​

Answers

Answer:

Rapid Application Development (RAD)

Explanation:

Software development life cycle (SDLC) can be defined as a strategic process or methodology that defines the key steps or stages for creating and implementing high quality software applications.

RAD is an acronym for rapid application development and it is a model that is typically based on the concepts of prototyping and iterative development technique with minimal documentation or planning involved.

In the RAD model, more priority is given to the development of the software while minimal attention is given to documentation or planning. Therefore, it focuses on developing softwares within a short period of time and using prototypes (working modules) such as templates, codes, processes, tools, etc.

Basically, the RAD model comprises of five (5) phases and these includes;

I. Business modeling.

II. Data modeling.

III. Process modeling.

IV. Application generation.

V. Testing and turnover.

In conclusion, the RAD model allows software application to be delivered with a demo of the working software at every stage of development for continuous customer interaction.

Answer:

Its rad ladies and gentlemen

Explanation:

who developed vacuum tube and when?​

Answers

Answer:

In 1904, John Ambrose Fleming invented the first vacuum tube.

Explanation:

Jon Ambrose Flemming invented the vacuum tube in 1904

Jessica has two pens, one red pen and a black pen. The red pen measures 5 inches while the
black one measures 15.24 cenfimefers.
A) How long is Jessica's red pen in centimeters
B) How long is Jessica's black pen in inches
C) which pen is longer
2) John rode 2 kilometers on his bike. His sister Sally rode 3000 meters on her bike. Who rode the
fasthest and
A) How much did John ride in meters
B) How much did Sally ride in kilometers 2012
C) Who rode the farthesten
D) How much farther did they ride (in kilometers)?
E) How much farther did they ride (in meters)?
3) Faye drew two line segments. The first line segment measures 7 inches while the second measures
10 inches.
A) What is the length of the first line segment in centimeters
B) What is the length of the second line segment in centimeters?



branleast ka sakin pag sinagotan moto promise

pag hindi maayos yan report ka sakin​

Answers

Answer:

1.

A) 12.7

B) 6

C) The black pen

2.

A) 2000

B) 3

C) Sally

D) They rode 1 kilometers farther

E) They rode 1000 meters farther

3.

A) 17.78

B) 25.4

Explanation:

A=5×2.54=12.7cmB.=15.24/2.54=6inchC.black pencilsalli rode a bike faster thanjohn.

A.john ride bike in metre=2×1000=2000m

B.salli ride a bike in kilometre=3000/1000=3 km

C.salli rode a bike fastest.sorry i do not know d,e

3.A=7×2.54=17.78cmB.10×2.54=25.4cm

What is the name of tool

Answers

Answer:

bro the pic is hazy

Explanation:

but it is looking like octagon

hope it helps you

please mark me as brainlist

How do computers multitask in an ideal situation?
a. slowly
b. every 30 seconds
c. manually
d.automatically

Answers

Answer:

Automatically

Explanation:

In an ideal situation, computers would multitask quickly and without human interference.

What are the main purposes of an operating system?

Answers

Answer:

An operating system has three main functions: (1) manage the computer's resources, such as the central processing unit, memory, disk drives, and printers, (2) establish a user interface, and (3) execute and provide services for applications software.

I charge my stylus 2-3 hours a day. But after all the charging the battery only lasts for 5 minutes. I hope someone can rectify this issue for me. Thank you..

Answers

Answer:

Well if your charging it to 100% nd its only lasting 5 minutes it may be because you charger is getting old or is breaking. What model do you have (stylus)

Explanation:

You may need a new internal battery. How long have you had the pen? If it was for a while you may need it to be replaced.

Choose the correct qurey to remove a record with names "John" in the persons table
(a) Delete from persons where name="John";(b) Delete from table1 where name="John";(c) Delet from persons where name="John";(d) Delet from persons where name="Alex";

Answers

Answer:

a

Explanation:

The correct syntax would be:

DELETE FROM persons WHERE name='John'

i.e., use single quotes. Uppercase keywords is not required but preferred by many.

a c program to check the greaster number among the two entered number using if else statement​

Answers

Answer:

#include <stdio.h>

int main(void) {

 int number1, number2;

 printf("Enter first number: ");

 scanf("%d", &number1);

 printf("Enter second number: ");

 scanf("%d", &number2);

 if (number1 > number2) {

   printf("%d is greater than %d!", number1, number2);

 } else if (number2 > number1) {

   printf("%d is greater than %d!", number2, number1);  

 } else {

   printf("%d is equal to %d!", number1, number2);

 }

}

Select all the correct answers.
Daniel is an app developer. He is working on an app for a retail store selling sports goods. The store manager explains that he would like customers to be alerted whenever there is a sale at the store. Interested customers would also be able to send an immediate response and book items they like from their mobile devices. Which statements about the use of the app are true?

It will make shopping easy.
It will enable quick transactions.
It will enable safety.
It will manage health.
It will save time.
Please I really need it because it will decides my grade.

Answers

Answer:

it will make shopping easy

Explanation:

The app will allow customers to shop with their phone instead of locating to the store. It also keeps the customers informed of events and sales for shopping.

PLS HELP ASAP Which is NOT a component of a packet?
trailer (footer)
protocol
body (payload)
header

Answers

Protocol. Hope this helps!

List out two ways to execute the script.​

Answers

Answer:

1) Execute Shell Script Using File Name. Use the shell script file name to execute it either by using it's relative path or absolute path as shown below

2) Execute Shell Script Using Source Command.

Determine if true or false Goal Seek immediately attempts to apply the function to the adjacent cells.

Answers

Answer:

The answer is "False".

Explanation:

This function the part of Excel, that allows a way to resolve the desirable result by manipulating an underlying expectation. This function is also called What-if-Analysis, which is used to test, and an error approach to address the problem by linking guesses before the answer comes.  On the Data tab, throughout the Data Tool category, and select Target Check it provides a    reference that includes a formula to also be solved throughout the Set cell box.


8.

Which of the following text pieces can be easily typed using right hand?
A. stewardess
B. lillipop
C. typewriter
D. FACE



Answers

Answer:

Lillipop

Explanation:

If you have your hands correctly placed on the keyboard, the only hand needed to type the word, "lillipop", is the left hand!

Hope I was of Assistance #SpreadTheLove <3

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