Write a function in Matlab that takes as input the number n and a symmetric tridiagonal matrix given as two vectors: n×1 vector v representing the main diagonal and (n−1)×1 vector w representing the upper diagonal. Have this function output the Cholesky factor of the matrix as a vector for the main diagonal and a vector for the upper diagonal and output the number of flops and, separately, the number of square roots used as well. Use only basic programming.

(a) Write out or print out your function.

(b) Run the case with v =2*ones(10,1), w = -ones(9,1) and write out or print out all your results.

(c) Rune the case with v =2*ones(100,1), w =-ones(99,1) and write out or print out your results just for the number of flops and square roots used. How many times more flops are used than in the previous case?

c = 3.0 x 10⁸ m/s;        b = v/c;           g (gamma) = 1/sqrt[1 – b²];    u = (u’ + v) / (1 + u’v/c²);

E_ph = hf = hc/l;           P = esAT⁴;     s = 5.67 x 10^-8 Watts / m² / K⁴

1. Relativistic Factor. Calculate the value of the relativistic factor g for an object traveling at v = 0.999c.

2. E = mc². If precisely 1.00 kilogram of mass could be converted completely into energy, for how long could this amount of energy keep a 100-Watt light bulb shining? (Assume the bulb can operate for a very long time.)

3. Velocity Addition. A relativistic craft traveling at 0.6c w/r/t to the Earth launches a probe, which travels at a velocity of 0.8c w/r/t the craft. What is the velocity of the probe w/r/t the Earth? (It’s not 1.4c.)

Part A - Palindromic Bitlists Write a function palindrome binary(n) which returns a list of bitlists of length n, where every bitlist is a palindrome. The returned list of bitlists must be in lexicographical order (think about the order of your options). You must use backtracking to solve this problem (i.e. do not use brute force).

Part B - All Paths Write a function all paths(M, u, v) which takes as input an adjacency matrix of a graph, M, and two vertices u, v and returns a list of all paths from u to v in M. A path is a list of vertices. Note that a path cannot use the same vertex twice, but two different paths can use some of the same vertices. The returned list of paths must be in lexicographical order. You must use backtracking to solve this problem (i.e. do not use brute force).

PYTHON CODE

1. Star with Newton's third law: dp/dt = ΣF where p is the momentum. In space, the sum of the external forces ΣF = 0. For a rocket in space, the mass and velocity change with time as the rocket expends its fuel. Show from Newton's third law that ΔV = v ln(m/M) where m is the initial mass of the rocket, M is the final mass of the rocket after the fuel is expended, v is the rocket's exhaust velocity and ΔV is the change in the velocity for the rocket

2. Now, the rocket needs to get to escape velocity to get to the moon. Use conservation of energy to derive an expression for the escape velocity. If we start at 200km above the surface of earth, calculate the ΔV we need to escape from Earth and get to the moon.

3. Finally, use the earlier Rocket Equation calculate the fraction of the initial rocket's mass that is dedicated to fuel to make the journey from the Earth to the Moon. In this case, v is 4500 m/s.

Note: This problem is for the 2018 tax year.

Lance H. and Wanda B. Dean are married and live at 431 Yucca Drive, Santa Fe, NM 87501. Lance works for the convention bureau of the local Chamber of Commerce, while Wanda is employed part-time as a paralegal for a law firm.

During 2018, the Deans had the following receipts:

Wanda was previously married to John Allen. When they divorced several years ago, Wanda was awarded custody of their two children, Penny and Kyle. (Note: Wanda has never issued a Form 8332 waiver.) Under the divorce decree, John was obligated to pay alimony and child support—the alimony payments were to terminate if Wanda remarried.

In July, while going to lunch in downtown Santa Fe, Wanda was injured by a tour bus. As the driver was clearly at fault, the owner of the bus, Roadrunner Touring Company, paid her medical expenses (including a one-week stay in a hospital). To avoid a lawsuit, Roadrunner also transferred $90,000 to her in settlement of the personal injuries she sustained.

The Deans had the following expenditures for 2018:

The life insurance policy was taken out by Lance several years ago and designates Wanda as the beneficiary. As a part-time employee, Wanda is excluded from coverage under her employer's pension plan. Consequently, she provides for her own retirement with a traditional IRA obtained at a local trust company. Because the mayor is a member of the local Chamber of Commerce, Lance felt compelled to make the political contribution.

The Deans' household includes the following, for whom they provide more than half of the support:

Penny graduated from high school on May 9, 2018, and is undecided about college. During 2018, she earned $8,500 (placed in a savings account) playing a harp in the lobby of a local hotel. Wayne is Wanda's widower father who died on January 20, 2018. For the past few years, Wayne qualified as a dependent of the Deans.

Federal income tax withheld is $5,200 (Lance) and $2,100 (Wanda). The proper amount of Social Security and Medicare tax was withheld.

Required:

Determine the Federal income tax for 2018 for the Deans on a joint return by providing the following information that would appear on Form 1040 and Schedule A. They do not want to contribute to the Presidential Election Campaign Fund. All members of the family had health care coverage for all of 2018. If an overpayment results, it is to be refunded to them.

In C++

Modify the program #1 to allow the user to enter name-score pairs. For each student taking a test, the user types a string representing the name of the student, followed by an integer representing the student's score. (use a structure) Modify the average-calculating function so they take arrays of structures, with each structure containing the name and score of a single student. In traversing the arrays, use pointers notation rather than array indices. (myArray->name or *(myArray).name) Make it a class.  You will need a destructor because you are using dynamic arrays.

I need your help! This is fundamental II. Thank you

c# only please

Objectives

• Use the more advanced data structures introduced to accomplish a difficult problem.

Tasks

This assignment has two parts:

1. Read from a file.
2. Write to a file.

Task 1 – File Input

The first piece of information we need is a text file’s name and location. Ask the user through the console what the file’s name and location are. After that, please ensure that the file does exist and at the given location. If the file does not exist or cannot be read, please return a message to the user stating that and ask them to enter another name and location.

Finally, if the file can be read then simply copy/read every line from the file. The contents of this file will be used in the next task.

Task 2 – File Output

Ask the user, through the console, what the name of the copy of the previous file should be called and where it should be saved. Check to see if a file with the same name already exists at the location given and if one does ask the user if they want to overwrite the file that already exists or if they would like to change the name and location of the new file. If they wish to change the name and location, go through the process of getting their input again through the console and checking if the newly given name and location are taken already too.

If they want to overwrite or no file already exists in the given location with the given name, then place the copied contents of the file that was read in the first task into this new file.

After successfully copying the contents of the first file into the second file, print to the console the name and location of both of those files.

A sample text file named “textfile.txt” has been supplied in case you need a file to test the above code on. The contents of that file is the declaration of independence.

∃ Some Sample Output:

Please enter a text file name and location:

C:\Users\source\repos\1322L_Assignment6\bin\Debug\textfiladsfe.txt22

This file does not exist!

Please enter a text file name and location:

C:\Users\source\repos\1322L_Assignment6\bin\Debug\textfile.txt

Please enter a new file name and location:

C:\Users\source\repos\1322L_Assignment6\bin\Debug\DeclarationOfIndependence.txt

A file already exists with that name!

Would you like to overwrite it or enter a different name? (0 or 1) 0

The file will be overwritten.

The file “C:\Users\source\repos\1322L_Assignment6\bin\Debug\textfile.txt” has been copied to “C:\Users\source\repos\1322L_Assignment6\bin\Debug\DeclarationOfIndependence.txt”.

Airbnb, a popular home-sharing website founded in San Francisco in 2008, offers millions of homes for
short-term rental in more than 190 countries. This company has revolutionized the sharing economy in
the same way that ride-sharing services such as Uber and Lyft have, and according to the company, the
site’s drive to connect hosts and potential renters has been able to contribute to the quality of life of
both homeowners and travelers. According to Airbnb’s press releases and information campaigns, their
services can reduce housing costs for travelers on a budget and can provide unique experiences for
adventurous travelers who wish to have the flexibility to experience a city like a local. The organization
also claims that most of its users are homeowners looking to supplement their incomes by renting out
rooms in their homes or by occasionally renting out their whole homes. According to a statement, most
of the listings on the site are rented out fewer than 50 nights per year.

Despite the carefully crafted messages Airbnb has presented to the public, in 2016 the company came
under intense scrutiny when independent analyses by researchers and journalists revealed something
startling: While some Airbnb hosts did in fact use the services only occasionally, a significant number of
hosts were using the services as though they were hotels. These hosts purchased a large number of
properties and continuously rented them, a practice that affected the availability of affordable housing in
cities and, because these hosts were not officially registered as hoteliers, made it possible for Airbnb
hosts to avoid paying the taxes and abiding by the laws that hotels are subject to.

Title II of the Civil Rights Act of 1964 mandates that hotels and other public accommodations must not
discriminate based on race, national origin, sex, or religion, and Title VIII of the Civil Rights Act of 1968
(also known as the Fair Housing Act [FHA]) prohibits discrimination specifically in housing. However,
Airbnb’s unique structure allows it to circumvent those laws. The company also claims that while it
encourages hosts to comply with local and federal laws, it is absolved from responsibility if any of its
hosts break these laws. In 2017, researcher Ben Edelman conducted a field experiment and found that
Airbnb users looking to rent homes were 16% less likely to have their requests to book accepted if they
had traditionally African American sounding names like Tamika, Darnell, and Rasheed.

These findings, coupled with a viral social media campaign, #AirbnbWhileBlack, in which users claimed
they were denied housing requests based on their race, prompted the state of California’s Department
of Fair Employment and Housing (DFEH) to file a complaint against the company. In an effort to resolve the complaint, Airbnb reported banning any hosts who were found to have engaged in discriminatory
practices, and they hired former U.S. Attorney General Eric Holder and former ACLU official Laura
Murphy to investigate any claims of discrimination within the company.31 In 2016, Airbnb released a
statement outlining changes to company practices and policies to combat discrimination, and while they
initially resisted demands by the DFEH to conduct an audit of their practices, the company eventually
agreed to an audit of roughly 6,000 of the hosts in California who have the highest volume of properties
listed on the site.

Sources: AirBnB Press Room, accessed December 24, 2018, https://press.atairbnb.com/about-us/;
“Airbnb's data shows that Airbnb helps the middle class. But does it?”, The Guardian, accessed December
23, 2018, https://www.theguardian.com/technology/2016/jul/27/airbnb-panel-democratic-nationalconvention-
survey ; and Quittner, Jeremy, “Airbnb and Discrimination: Why It’s All So Confusing”,
Fortune, June 23, 2016, http://fortune.com/2016/06/23/airbnb-discrimination-laws/ (Links to an external site.).

Discussion Questions
1. What are some efforts companies in the sharing economy can take before problems of
discrimination threaten to disrupt operations?
2. Should Airbnb be held responsible for discriminatory actions of its hosts?

Required information

Problem 17-2A Ratios, common-size statements, and trend percents LO P1, P2, P3

[The following information applies to the questions displayed below.]

Selected comparative financial statements of Korbin Company follow:

Problem 17-2A Part 1

Required:
1. Complete the below table to calculate each year's current ratio.

2. Complete the below table to calculate income statement data in common-size percents. (Round your percentage answers to 2 decimal places.)