Solve the following problem with the fourth-order RK method: d2 y dx2 + 0.5 dy dx + 7y = 0 where y(0) = 4 and y(0) = 0. Solve from x = 0 to 5 with h = 0.5. Plot your results.

Answers

Answer 1

The two first-order ODEs: dy/dx = v and dv/dx = -0.5v - 7y with initial conditions y(0) = 4 and v(0) = 0.

How to solve

To solve the given second-order ODE using the fourth-order Runge-Kutta (RK4) method, first, convert it to a system of first-order ODEs:

Let v = dy/dx, then dv/dx + 0.5v + 7y = 0.

Now, you have two first-order ODEs: dy/dx = v and dv/dx = -0.5v - 7y with initial conditions y(0) = 4 and v(0) = 0.

Implement RK4 with h = 0.5 for x ∈ [0, 5], updating y and v simultaneously. After obtaining the numerical solution, plot y(x) against x.

Use a programming language or software like MATLAB, Python, or Mathematica to implement the RK4 method and plot the solution.

Read more about second-order ODE here:

https://brainly.com/question/19130837

#SPJ1


Related Questions

Question 7 of 10
Charts are most useful for which task?
A. Removing data that is not useful from a spreadsheet
B. Organizing data into a new spreadsheet
C. Creating more columns in a spreadsheet
D. Creating visual displays of data for presentations

Answers

Charts are most useful for Removing data that is not useful from a spreadsheet.

What is meant by spreadsheet?

A spreadsheet is a piece of software that can store, display, and edit data that has been organized into rows and columns.One of the most used tools for personal computers is the spreadsheet.In general, a spreadsheet is made to store numerical data and short text strings.Spread, used to refer to a newspaper or magazine item that spans two facing pages, extends across the centerfold, and treats the two pages as one large page, is the root word for the word "spreadsheet."Worksheet is another name for a spreadsheet. It is used to collect, compute, and contrast numerical or monetary data. Each value can either be derived from the values of other variables or be an independent value.

To learn more about spreadsheet refer to

https://brainly.com/question/26919847

#SPJ1

Why does my samsung tv keep disconnecting from wifi?

Answers

The issue may simply be that your Samsung TV isn't properly connected to your network if it fails to detect a wireless network or loses connection frequently.

Why does the Samsung Smart TV constantly losing its Internet connection?

It's also conceivable that the DNS settings on the router are preventing the television from connecting to the Internet, that the Wi-Fi service isn't functioning properly, or that there are issues with the Internet, Wi-Fi, or the router itself.

Why does my smart TV's Wi-Fi continually losing connection?

If the Wi-Fi® signal on your TV device fluctuates or drops, try power restarting or resetting your modem/router first.

To know more about WIFI visit:-

https://brainly.com/question/14015791

#SPJ4

James needs to create a new résumé and has found a résumé builder to help him. He has multiple college degrees to list under Education.

In what order should he enter his levels of education?

Most recent degree to first
Alphabetical
First degree to most recent
Favorite college

Answers

most recent degree to first

explination: explination.

In a case whereby James needs to create a new résumé and has found a résumé builder to help him the order  he should enter his levels of education is Most recent degree to first, first option is correct.

What is résumé?

A person creates and uses a résumé sometimes written resume to present their educational history, professional experience, and accomplishments. Although there are many uses for resumes, they are most frequently employed to find new jobs.

A standard résumé includes a summary of education and employment history that is pertinent. A resume is a one-page description of your educational background and employment history that is pertinent to the position you are applying for. A CV is a more comprehensive academic journal that lists all of your experience, credentials, and publications.

Learn more about résumé at;

https://brainly.com/question/14218463

#SPJ3

"failed to login the authentication servers are currently not reachable" how to fix this problem ?

Answers

Most likely a other party sever issue


A system Unit consists of the keyboard and the monitor.
TRUE OR FALSE

Answers

The answer to this is true

Any data entering a digital device could be malware.

True or False

Answers

Answer: False

Explanation:

The given statement "Any data entering a digital device could be malware." is true.

The given statement is "Any data entering a digital device could be malware."

Any data entering a digital device could be malware. Blacklist and header filtering are usually performed by email clients and Webmail services. The objective of a MITM attack is for a third party to block communications between two entities. Most mass-mailing databases are legitimately compiled from customer lists.

Any risky computer programme on a computer or mobile device is now referred to as "malware," a phrase that combines the terms "malware" and "software."

Therefore, the given statement is true.

Learn more about the malware here:

https://brainly.com/question/29786858.

#SPJ6

The ability to conduct electricity in the solid state is a characteristic of metallic bonding.

Answers

That one property of metallic bonding is its capacity to conduct electricity in the solid state. The existence of mobile electrons offers the most compelling explanation for this property.

What is Metallic bonds ?Metallic bonds are created when electrically positive metallic atoms exchange their available electrons with one another.In essence, the mobile electrons in the metal cation create an ocean of electrons.Metallic bonds, for instance, are formed by metals like copper, gold, and silver.The transfer of free electrons between two points is also known as current.As a result, we may say that one property of metallic bonding is its capacity to conduct electricity in the solid state. The existence of mobile electrons offers the most compelling explanation for this property.

The complete question is The ability to conduct electricity in the solid state is a characteristic of metallic bonding. this characteristic is best explained by the presence of

To learn more about metallic bonding refer to:

https://brainly.com/question/8617106

#SPJ4

a digital computer uses mechanical operations to perform calculations

Answers

The given statement “A digital computer uses mechanical operations to perform calculations” is False.

A digital computer uses electronic circuits and transistors to perform calculations, rather than mechanical operations.

The electronic circuits and transistors work together to process and store information in a binary format, which allows the computer to perform mathematical operations and logical decisions at a very high speed.

The earliest computers used mechanical operations to perform calculations, such as the abacus and the mechanical calculator. But with advancements in technology, electronic computers have replaced these mechanical devices.

The first electronic computers emerged in the 1940s and 1950s, and they were much faster and more reliable than their mechanical predecessors.

To learn more about digital computer, click here:

brainly.com/question/18943642

#SPJ4

Write a c program that uses iteration to find the sum of all multiples of 3
and all multiples of 4 between 3 and 150 inclusive. Print the sum.

Answers

#include<stdio.h>

int main()

{

int sum_3=0, sum_4=0; //Variable to store the sum of multiples of 3 and 4

for(int i=3; i<=150; i++) //Iterating from 3 to 150

{

if(i%3==0) //Checking if i is a multiple of 3

sum_3 += i; //Adding i to the sum of multiples of 3

if(i%4==0) //Checking if i is a multiple of 4

sum_4 += i; //Adding i to the sum of multiples of 4

}

printf("Sum of multiples of 3: %d\n", sum_3); //Printing the sum of multiples of 3

printf("Sum of multiples of 4: %d\n", sum_4); //Printing the sum of multiples of 4

return 0;

}

Which tag do you use to create a Heading in HTML?
*
A)
B)
C)
D)

Answers

Answer:

you didn't type the choices but to make a title for a page you use <head><title></title></head>

but to make a heading there are six different HTML headings which are defined with the <h1> to <h6> tags, from highest level h1 (main heading) to the least level h6 (least important heading)

Explanation:

hope this helps you

#-----import statements-----Location to import all the modules that you will use to make the Catch-A-Turtle game
#-----game configuration----Where all the variables will be defined and initialized
#-----initialize turtle-----Where all the turtles for your game will be creatednerd = trtl.Turtle()nerd.shape(tur_shape)nerd.shapesize(tur_size)nerd.fillcolor(tur_Color)

Answers

fd(distance) | forward(distance): advance the turtle. Move the turtle backwards with the commands back(distance), back(distance), and back(distance).

A pre-installed Python module called turtle gives users a virtual canvas on which to draw shapes and images. The library gets its name from the on-screen pen that you use to sketch, known as the turtle. Follow these instructions to instal the Turtle package in Linux: Step 1: First, we'll run the following command to instal Python3 as it is right now. Step 3: We will now instal the Turtle package using the PIP manager. To instal the Turtle library, enter the following command into the terminal.

To learn more about turtle click the link below:

brainly.com/question/30037186

#SPJ4

How do you fix failed to login the authentication servers are currently not reachable?

Answers

There is no action that you can take to fix this problem on your end, you will need to wait until the servers are back up and running. You can check the status of the servers on the official website or social media accounts of the game or application.

The error message "failed to login the authentication servers are currently not reachable" typically indicates that the servers responsible for handling authentication for the game or application are currently unavailable. This can occur for a variety of reasons, such as server maintenance, technical difficulties, or a high volume of users trying to access the servers at the same time. This error message usually means that the servers that handle authentication for the game or application are currently down or unavailable.

Learn more about fix problem, here https://brainly.com/question/20371101

#SPJ4

6.3.8 Create a Parent Virtual Machine
You installed Hyper-V on the CorpServer server. You are experimenting with virtual hard disks. You plan to run several instances of Windows Server 2016 as virtual machines. Because these virtual machines will use a similar configuration, you are considering using differencing disks to conserve disk space.
In this lab, your task is to perform the following:
Create a virtual hard disk using the following parameters:
Virtual hard disk name: ParentDisk.vhdx
Location: D:\HYPERV\Virtual Hard Disks\ParentDisk.vhdxDisk
type: FixedSize: 50 GB
Create the parent virtual machine using the following parameters:
Virtual machine name: ServerParent
Location: D:\HYPERV\
Generation: Generation 1Startup
Memory: 2048 MB
Network: Not Connected
Configure the virtual hard disk to use the image file D:\ISOs\en_windows_server_2016_x64_dvd.iso

Answers

You may use the capability known as nested virtualization to run Hyper-V inside of a Hyper-V virtual machine (VM). This is useful for testing configurations that often call for several hosts or running a Visual Studio phone emulator in a virtual machine.

How to create a virtual hard drive

1. Click Tools > Hyper-V Manager in Server Manager.

2. Select New > Hard Disk using the right-click menu on CORPSERVER.

3. Press Next.

4. After choosing the disc format, click Next.

5. Choose the kind of disc, then click Next.

6. Type the hard drive file's name.

7. Type the hard drive file's location and click Next.

8. Ensure the option to Create a fresh blank virtual hard disc is chosen.

9. Type in the new virtual disk's size, then click Next.

ten. Press Finish.

To learn more about Hyper-V virtual machine click the link below:

brainly.com/question/30205975

#SPJ4

___A special socket for inserting and securing a processor (Zero Insertion Force).

Answers

ZIF socket: A special socket for inserting and securing a processor.

 

A ZIF (zero insertion force) socket is a special type of socket that is used to hold a processor in place on a computer motherboard. The socket is designed to make it easy to insert and remove the processor without applying too much force or causing damage. The socket typically features a lever or handle that can be used to lock the processor in place and a set of pins that make contact with the processor's pins. ZIF sockets are commonly used in desktop and laptop computers, as well as in some servers and other types of computer equipment.

Learn more about socket here: brainly.com/question/5160310

#SPJ4

The Basketballplayer class was created so that we can track different stats.
It was designed to add players then add a game's statistics and report out.
Take a few minutes to check out the Basketbiplayer class. Note how you
can construct a Basketballplayer and how you can add a game's statistics.
Your task:
Create two basketball players, one with a team, one without a team.
Add at least 4 games to each player
Print out the player's name, their statistics, and then print the object

Answers

It was designed to add players then add a game's statistics and report out. Take a few minutes to check out the Basketbiplayer class. Note how you can construct a Basketballplayer and how you can add a game's statistics.

What are Statistics?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when using statistics to a scientific, industrial, or societal issue. Populations can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal." Every facet of data, including the organization of data collecting in terms of the layout of surveys and experiments, is covered by statistics. When census data cannot be gathered, statisticians devise specialized experiment designs or survey samples to get data. A representative sample ensures that generalizations and inferences from the sample to the entire population are reasonable.

To know more about Statistics visit:

https://brainly.com/question/10079692

#SPJ4

It was made to add participants, add game data, and then report results. Consider out all the Basketbiplayer class for a little while.

What does OOP's class and object mean?

In a programme, a class serves as a template for the creation of objects, whereas an object is an example of a class. An item is a physical entity, but a class is a conceptual one. Memory space is not allocated by a class; nevertheless, it is allocated by an object.

What distinguishes a Java object from a Java class?

A class instance is an object. A classes is a framework or model that may be used to create new objects. An object such as a pen, computer, phone, mattress, mouse, mouse, chair, etc. is a real-world thing.

To know more about object visit:

https://brainly.com/question/29976600

#SPJ4

Windows and Linux command.

- Displays installed network interfaces and the current config settings for each

Answers

The "ifconfig" command can be used to show the current network configuration information, configure a network interface's hardware address, ip address, netmask, or broadcast address, create an alias for the network interface, and enable or deactivate network interfaces.

Use the ifconfig command to view or set up a network interface. The ifconfig command may be used to set or show the current network interface configuration information as well as to assign an address to a network interface. For each interface that exists on a system, the network address must be specified using the ifconfig command during system startup. The Windows system's network interfaces' fundamental IP addressing details are shown via the ipconfig command. The IP address and subnet mask are also included in this information. However, output that is more detailed might be helpful.

To learn more about "ifconfig" click the link below:

brainly.com/question/13097970

#SPJ4

Which of the following decision problems are undecidable?I. Given NFAs N1 and N2, is L(N1) ∩ L(N2) = ϕ?II. Given a CFG G = (N, ∑, P, S) and a string x ∈ ∑*, does x ∈ L(G)?III. Given CFGs G1 and G2, is L(G1) = L(G2)?IV. Given a TM M, is L(M) = ϕ?

Answers

The correct answer is Emptiness problem of Turing machine is undecidable.Uncountable noun (mptins). Emptiness is an unpleasant or unsettling sensation that nothing is valuable.

The Turing machine's emptiness issue cannot be solved, according to Rice's theorem. Keep in mind that any NP problem can be solved. This idea is crucial. Keep in mind that P issues also fulfil the NP specification, therefore... Some NP-Hard issues can also be found in NP. In the theory of computation, undecidable issues are those for which we are unable to create an algorithm that can resolve the issue in an unlimited amount of time (TOC). If a Turing machine cannot determine a problem's solution in an indefinite length of time, then the problem cannot be resolved.

To learn more about machine click the link below:

brainly.com/question/2641843

#SPJ4

Betta is taking up the hobby of knitting. How can she use typing to help her learn how to knit faster?

Answers

Typing can help Betta learn how to knit faster by allowing her to quickly search for tutorials, knitting patterns, and knitting tips online. She can also use typing to look up knitting terminology, abbreviations, and symbols. Additionally, typing can be used to save notes, helpful knitting tips, and important information Betta finds while researching. Finally, typing can be used to keep track of projects, yarn amounts, and other details related to her knitting.

Answer:

She can search up tutorials on how to knit.

Explanation:

I got an 5/5 Quiz 1.02 k12

5.7 Lab 5D: Dice game

Overview

You are going to use what you learned about random number generation and simulate rolling a die for two players. Then depending on the result, print out a message indicating who won.

Objectives

to continue to use what you have learned about generating random numbers in Python
using concepts from the previous chapter, be able to take action based on a result of the program.
Description

You will first prompt for each player's name. The prompts should be "Enter name for player 1:\n " and "Enter name for player 2:\n " Once you have each player's name, roll the dice for each player. We will assume a standard 6 sided die for this game.

When you've rolled the dice, report the roll for each player, and the "winner" (the one who rolled the higher number) on two lines as follows:

For example, if the player names were "Alice" and "Bob", and the dice rolls were 5 and 3, you would print

Alice rolled a 5 and Bob rolled a 3
Alice wins!
In the case of a tie, you would print

Alice rolled a 6 and Bob rolled a 6
It's a tie!
You should not set any random seed for this program so your results will be more realistically random. Run your program several times in Develop mode to make sure you can test the first player winning, the second player winning, and a tie. It may take many attempts to generate all the possibilities.

Answers

The code has been created in Python for the provided issue, and we may obtain the output as a result.

from arbitrary import main() randint def

'Enter name for player 1: n' playerl = input

('Enter name for player 2: n') player2

randint = pl rolls (1, 6)

P2 rolls equals random (1, 6)

playerl, "rolled a," pl rolls, "and," player2, "rolled a," p2 rolls) is printed.

If player 1 wins if pl rolls > p2 rolls

Print (player2, "Wins!") if p2 rolls > pl rolls.

Otherwise, print "It's a tie!"

main()

In recent years, Python has risen to become one of the most widely used programming languages worldwide. Everything from website development to software testing to machine learning uses it. Both developers and non-developers can utilise it.

In recent years, Python has risen to become one of the most widely used programming languages worldwide. Everything from website development to software testing to machine learning uses it.

Learn more about Python here:

https://brainly.com/question/18502436

#SPJ4

How to fix an established connection was aborted by the software in your host machine?

Answers

Answer:

look below!

Explanation:

Whatever the reason is, the issue is solvable. You will get a proper guideline from this entire article. Before jumping into the details, take a sort look at the list first. Fix 1: RestartFix 2: Turn Off Windows Defender FirewallFix 3: Uninstall Third-party Antivirus (If Any)Fix 4: Disconnect VPN Program (If Any)

A registry is which of the following?

Software that supports patient identification and location of records
Specialized database for a predefined set of data and its processing
Storage location for archiving data not frequently used
System that manages cloud computing

Answers

A registry is a particular database that is used to process a specific collection of data.

What does a register serve as?

The registry aids Windows in managing and controlling your computer by giving users access to critical resources and aiding crucial programmes with self-configuration. The register is a hierarchical database containing keys and values.

What exactly does corporation registration mean?

A register is the records office in charge of receiving, managing, and maintaining current records (IRMT, 1999). Additionally, a registry's major responsibility is to retain all of an organization's records and exert intellectual control over them.

A database is a collection of data organised for quick access, administration, and update. In computer databases, information like as sales transactions, customer information, financial data, and product information are often stored as collections of data records or files.

Learn more about Database here:

https://brainly.com/question/29775297

#SPJ4

E-mail communication is most suited for:

Answers

The most appropriate use of email communication is to provide routine information.

Internet users may use email as a communication tool to share information and find out more about topics that interest them. Here are some explanations on why email is crucial:

Frequently used Because so many people use email on a regular basis to connect with others and learn more about businesses, it is significant. For instance, a lot of individuals carry their phones and routinely check their email on their laptops, giving them easy access to their inboxes.

Accessibility: Almost everyone can have an email account because email is free and available on a variety of devices. For instance, a person can create an account at the library and access it from various devices including school computers.

Learn more about Email here:

https://brainly.com/question/13460074

#SPJ4

A good way to gauge customer satisfaction is through

Answers

here’s a few…

1.Customer Satisfaction Score. The customer satisfaction score, or CSAT, is a time-tested metric. ...

2.Net Promoter Score. ...

3.Customer Effort Score. ...

4.In-app customer surveys. ...

5.Post-service customer surveys. ...

6.Customer Surveys via Email. ...

7.Volunteered feedback. ...

8.Survey best practices.

A good way to gauge customer satisfaction is through direct customer feedback loop. The correct option is C.

What is customer satisfaction?

Customer satisfaction measures how well a company's products or services meet or exceed its customers' expectations.

It is a critical metric for businesses to monitor because it affects customer loyalty, retention, and overall success.

A direct customer feedback loop is an effective way to determine customer satisfaction.

Customer surveys, feedback forms, and customer reviews can all be used to accomplish this.

Businesses can gain valuable insights into what they are doing well and where they can improve by directly asking customers for their opinions and feedback.

Thus, the correct option is C.

For more details regarding customer satisfaction, visit:

https://brainly.com/question/28387894

#SPJ2

Computer speed is measured in . The computer processor speed is 4.5 GHz, which means the processor performs at 4.5 machine cycles per second. The CPU is responsible for

Answers

Computer speed is measured in Gigahertz (GHz). The computer processor speed is 4.5 GHz, which means the processor performs at 4.5 billion machine cycles per second. The CPU is responsible for controlling all computer functions.

What is the function of the CPU?

The function of the CPU may include guiding the computer through the various steps of solving a problem. Data enters the computer through an input unit, is processed by the central processing unit, and is then made available to the user through an output unit.

The speed of a computer is measured in machine cycles per second or MHz. A computer's processor clock speed determines how quickly the central processing unit (CPU) can retrieve and interpret instructions. This helps your computer complete more tasks by getting them done faster.

To learn more about CPU, refer to the link;

https://brainly.com/question/474553

#SPJ1

Domain names are always read from the

A. node up to root
B. any node to root
C. root to bottom
D. All of them

Answers

C. root to bottom. thats the answer

Which of the problems cannot be solved by backtracking method?(a) n-queen problem(b) subset sum problem(c) hamiltonian circuit problem(d) travelling salesman problem

Answers

The N-queens problem, the partial sum problem, and the Hamiltonian cycle problem can be solved by the backtracking method, and the traveling salesman problem can be solved by the branch-and-bound method. 2

What's the problem with backtracking?

In a backtracking problem, if no viable solution to the problem is found, the algorithm tries to find a sequence path to the solution with some small checkpoints to backtrack the problem.

What can Backtrack solve?

Backtracking is an algorithmic technique for recursively solving a problem by removing solutions that never satisfy the constraints of the problem and trying to build the solution piecemeal (time can be any level here). is called elapsed time to reach).

To know more about backtracking method visits :-

https://brainly.com/question/30035219

#SPJ4

(T/F) You can compare enumerators and enum variables with relational operators.

Answers

Answer:

True you can compare enumerators and enum with variables with relational operators.

How to fix the "cannot update a component while rendering a different component" ?

Answers

To fix this error, you should make sure that the setState method is only called after the component has finished rendering. One way to do this is by using the setState callback function. Another way to fix this issue is by using the useEffect hook and useState hook in case of using functional components in React.

The error "cannot update a component while rendering a different component" usually occurs when a component's setState method is called while that component is in the process of rendering. This can happen if a child component's setState method is called during the parent component's render method. This function is called after the component's state has been updated, and the component has finished re-rendering.

Learn more about Rendering, here https://brainly.com/question/28950572

#SPJ4

how do you know if a website has an ssl certificate?

Answers

Answer:

Explained in image that is attached.

The following should be considered when assessing risk: ___________a. The consequences of your actions.b. How will an adversary benefit from the indicator?c. Will something you do or say provide an indicator to the adversary.d. What's the effect on the mission?e. What's the cost of avoiding risk?

Answers

In general, to conduct an assessment, you should: Identify hazards. Determine the probability of damage such as: B. Occurrence of injury or illness and its severity.

Consider not only normal operating conditions, but also non-standard events such as maintenance, shutdowns, power outages, emergencies, and extreme weather conditions. soon. They are especially dangerous to humans. Once identified, analyze and assess the likelihood and severity of the risk. Once that determination has been made, the next step is to determine what actions should be taken to effectively eliminate or control the harm. CSA Standard Z1002, Occupational Health and Safety - Hazard Identification and Elimination, and Risk Assessment and Management use the following terms: Hazard Identification – The process of finding, listing and characterizing hazards.

Risk Analysis – A process for understanding the nature of hazards and determining the level of risk.

Notes: (1) Risk analysis provides the basis for risk assessment and risk management decisions.

(2) Information may include current and historical data, theoretical analyses, informed opinions and stakeholder concerns.

(3) Risk analysis includes risk assessment.

Know more about Information here:

https://brainly.com/question/29244533

#SPJ4

Other Questions
regarding the population debate, the neo-malthusian thesis is often referred to asa. malthusianb. boserupianc. cassandrad. cornicopian when fannie mae purchases mortgage loans from lending institutions, they are packaged into randys use of made-up words such as ""tricksty"" and ""booksitorium"" is an example of what symptom of psychosis? (t/f) a benefit of not immediately writing to disk when an application performs a file write operation is that i/o scheduling can be more effective. Kevin Kinghorn attempts to defend the ____________________ theory of identity by arguing that Gods recognition guarantees that I persist as the same person across timea. Relationalb. Memoryc. Causald. Bodily A school is arranging a field trip to the zoo. The school spends 733. 71 dollars on passes for 35 students and 2 teachers. The school also spends 325. 85 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? adapting information systems (is) to new versions of business processes is a quick process. true or false Please help me understand this problem! a rectangular channel on a 0.003 slope is constructed of glass. the channel is 10 ft wide. the flow rate is 400 ft3/s. estimate the water depth. AssessmentWhat is a brokerage account?A. An online account used to pay expenses.B. A deposit account at a financial institution that allowswithdrawals and deposits.C. An interest-paying deposit account at a financialinstitution that provides a modest interest rate.D. An account used to buy investments like stocks, bonds,and mutual funds.5/10 Builtrite had sales of $900,000 and COGS of $280,000. In addition, operating expenses were calculated at 25% of sales. Builtrite also received dividends of $50,000 and paid out common stock dividends of $25,000 to its stockholders. A long-term capital gain of $70,000 was realized during the year along with a capital loss of $50,000. Required:a. What is Builtrites taxable income?b. Based on their taxable income, what is Builtrites tax liability?c. If we add to our problem that Builtrite also had $30,000 in interest expense, how much would this interest expense cost Builtrite after taxes?d. Last year Builtrite had retained earnings of $140,000. This year, Builtrite had true net profits after taxes of $75,000 which includes common stock dividends received of $10,000. Builtrite also paid a preferred dividend of $35,000. What is Builtrites new level of retained earnings? ABC company issues 10-year, $200,000 bonds on January 1, 20x1. The stated rate is 10%, interest is payable semi-annually on 6/30 and 12/31. The effective rate is 12%. Calculate the amount of cash received for the bonds.Present value of 1 for 20 periods at 5% .......... .377Present value of 1 for 20 periods at 6% .......... .312Present value of annuity for 20 periods at 5% .... 12.462Present value of annuity for 20 periods at 6% .... 11.470 suppose =1 2 where >0 is a constant, and 1 and 2 are arbitrary constants. find the following. enter 1 as c1 and 2 as c2. which one of the following code snippets accepts the integer input in an array list named num1 and stores the even integers of num1 in another array list named evennum? what's the likelihood of picking a number correctly between 0 to 100 in 5 attempts using binary search incumbents typically have a cost advantage as compared to new entrants because: Two conducting concentric spherical shells have radii a = 0.125 m and b = 0.23 m.(a) Express the capacitance of the two concentric shells in terms of radii a and b and the Coulomb constant k.(b) Calculate the numerical value of the capacitance in F.(c) Express the capacitance C through the potential difference V across the capacitor and charge Q.(d) If the charge in the inner sphere is +Q = 3 C, the outer sphere Q = -3 C, calculate the electric potential difference V between the outside and the inside conductors in V. Your pen test team is discussing services with a potential client. The client indicates theydo not see the value in penetration testing. Which of the following is the correct responsefrom your team?A. Run a few tests and display the results to the client to prove the value of penetration testing.B. Provide detailed results from other customers you've tested, displaying the value of planned testing and security deficiency discovery.C. Provide information and statistics regarding pen testing and security vulnerabilities from reliable sources.D. Perform the penetration test anyway in case they change their mind. Modify the Extended_Add procedure in Section 7.5.2 to add two 256-bit (32-byte) integers (common typo, should be 7.4.2);--------------------------------------------------------Extended_Add PROC;; Calculates the sum of two extended integers stored; as arrays of bytes.; Receives: ESI and EDI point to the two integers,; EBX points to a variable that will hold the sum,; and ECX indicates the number of bytes to be added.; Storage for the sum must be one byte longer than the; input operands.; Returns: nothing;--------------------------------------------------------pushadclc ; clear the Carry flagL1: mov al,[esi] ; get the first integeradc al,[edi] ; add the second integerpushfd ; save the Carry flagmov [ebx],al ; store partial sumadd esi,1 ; advance all three pointersadd edi,1add ebx,1popfd ; restore the Carry flagloop L1 ; repeat the loopmov byte ptr [ebx],0 ; clear high byte of sumadc byte ptr [ebx],0 ; add any leftover carrypopadretExtended_Add ENDPThe above is what needs editing, here's the full code to test if it works:.386.model flat,stdcall.stack 4096ExitProcess PROTO, dwExitCode:DWORDINCLUDE Irvine32.inc.dataop1 BYTE 0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFhop2 BYTE 0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFhsum BYTE 33 dup(0).codemain PROCmov esi,OFFSET op1 ; first operandmov edi,OFFSET op2 ; second operandmov ebx,OFFSET sum ; sum operandmov ecx,LENGTHOF op1 ; number of bytescall Extended_Add; Display the sum.mov esi,OFFSET summov ecx,LENGTHOF sumcall Display_Sumcall CrlfINVOKE ExitProcess, 0main ENDP;--------------------------------------------------------Extended_Add PROC;; Calculates the sum of two extended integers stored; as arrays of bytes.; Receives: ESI and EDI point to the two integers,; EBX points to a variable that will hold the sum,; and ECX indicates the number of bytes to be added.; Storage for the sum must be one byte longer than the; input operands.; Returns: nothing;--------------------------------------------------------pushadclc ; clear the Carry flagL1: mov al,[esi] ; get the first integeradc al,[edi] ; add the second integerpushfd ; save the Carry flagmov [ebx],al ; store partial sumadd esi,1 ; advance all three pointersadd edi,1add ebx,1popfd ; restore the Carry flagloop L1 ; repeat the loopmov byte ptr [ebx],0 ; clear high byte of sumadc byte ptr [ebx],0 ; add any leftover carrypopadretExtended_Add ENDPDisplay_Sum PROCpushad; point to the last array elementadd esi,ecxsub esi,TYPE BYTEmov ebx,TYPE BYTEL1:mov al,[esi] ; get an array bytecall WriteHexB ; display itsub esi,TYPE BYTE ; point to previous byteloop L1popadretDisplay_Sum ENDPEND main The program, errorsHex.py, has lots of errors. Fix the errors, run the program and submit the modified program.errorsHex.py down belowdefine convert(s):""" Takes a hex string as input.Returns decimal equivalent."""total = 0