In each case below either prove that the statement is True or disprove it by giving an example showing that it is False.

(i) If B is a fixed 2 × 2 matrix, then the set U = {A|A ∈ M22, AB = 0} is a subspace of M22. T or F

(ii) If u, v, w are vectors in a vector space V , then span {u, v, w} = span {u + v, u + w, v + w} T or F

(iii) The set {x,sin2 x, cos2 x} is independent in F[0, 2π] T or F

(iv) {1 + x, x + x 2 , x2 + x 3 , x3} is a basis of P3. T or F

A positive charge q is fixed at the point x = 0, y = 0, and a negative charge -2q is fixed at the point x = a, y = 0.

a) Derive an expression for the potential V at points on the x -axis as a function of the coordinate x . Take V to be zero at an infinite distance from the charges. (Express your answer in terms of the given quantities and appropriate constants).

V(x) =

b) At which positions on the x -axis is V = 0? (Enter your answers numerically separated by commas).

x/a =

c) What does the answer to part A become when x>>a ?

V =

d) Explain why this result is obtained.

Assume the input graph is directed but may or may not have cycle in it, that is, may or may not be a directed acyclic graph. Consider the recursive topological sorting algorithm shown below. TopologicalSort(G) { If G has only one node v then return v. Find a node v with no incoming edge and remove v from G. Return v followed by the order returned by TopologicalSort(G). }

(a) Extend the recursive algorithm shown below so it can detect and output a cycle if the input graph G is not a directed acyclic graph. Clearly mark the extended part of the algorithm and state your reasoning behind the extension made.

On December 20, 2016, a company pays $40,000 for a stock, classified as a trading security. On December 31, 2016, the company’s year-end, the stock has a market value of $38,000. The company sells the stock in 2017 for $43,000.

On its income statement, the company reports:

a: no gain or loss in 2016, and gain of $5,000 in 2017

b. A gain of $3,000 in 2016, and no gain or loss in 2017

c.No gain or loss in 2016, and gain of 3,000 in 2017.

d. A loss of $2,000 in 2016, and a gain of $5,000 in 2017.

NR is an 89-year-old man (79.56kg, 73 in) with hypertension, hyperlipidemia, diabetes mellitus, vascular dementia, epilepsy and a history of prostate cancer. On April 29, 2016, he was admitted to the hospital with a diagnosis of acute kidney failure, dehydration, as well as pain and swelling in his left leg. On April 29, a venous sonogram was practiced in his left leg where deep thrombosis was identified in the iliofemoral vein. His medications include finasteride, ranitidine, metoprolol succinate, aspirin, terazosin, hydralazine, donepezil, memantine, insulin NPH and primidone. Enoxaparin 40mg every 24 hours and warfarin were started on April 30.

Warfarin Dosage:

04/30/2016       2.5mg

05/01/2016       2.5mg

05/02/2016       2.5mg

05/03/2016       2.5mg

05/04/2016       2.5mg

05/05/2016       2.5mg

05/06/2016       2.5mg

Reported INR:

04/29/2016       1.05

05/01/2016       1.20

05/03/2016       1.41

05/06/2016       1.59

What is the inR target range for this patient?

What factors would you consider when evaluating this patient? What drug-drug interactions are present and what is their possible effect on INR?

What recommendation would you make at this time?

You will select, read and analyze 4 articles from a variety of newspapers or magazines to provide some ‘real value’ to the theoretical contents that we deal with in the course. You may use web sites as sources of articles but attach a hard copy of the articles you are reviewing. Articles should relate to any 4 of the following macroeconomic topics and should not be earlier than October 1' 2020. Articles should be critiqued (as explained below). The critique should be typed, double- spaced, with correct grammar and spelling.

Topics

Current state of the economy

Inflation

Unemployment

Government budget

Exchange rate of the $

CRITIQUE OUTLINE

Title Page

Include your name, student number& course section

Table of Contents (1 Mark)

Author, source and topic of the articles

Basic Theme& Critical Review

This is the idea or the argument of the article (no more than a few sentences)

Analyze the headline with regards to its relevance.

Carefully analyze the article, using your critical thinking skills.(3-4paragraphs for each article). Relate the article to the macroeconomic concept covered in the course. Your opinion on the issue is important.

Terminology

You should include relevant economic terms used in the article and define them.

Your assignment is worth 10 Marks.Your gradeswill depend onyour correct choice of Macroeconomic articles, and the depth of your opinion.

Please keep in mind that the discussion on fraud will evoke some emotions that is human. These are hypothetical situations.

On page 62 of the textbook, the Author Anderson and Enron case is discussed. This event demonstrates the breakdown of ethics and professional judgement in the 1990's / 2000 which resulted in accounting fraud. This occurred when accounting professionals failed to identify, report and correct unethical behavior because in doing so would harm the observer. Enron paid Anderson a total go $52 million making them the second largest client in there Houston Texas office.

The discovery of inaccurate financial statements and the failure to correct it and disclosure it in the 1997 earnings restatements were the primary reasons for fraud that has made Enron a household name today. This example demonstrates fraud from the top down where the professionals lost sight of there obligations during the audit.

The movie the Mule by Clint Eastwood proposed a similar dilemma in that ethics and professional judgement were ignored by all the individuals and fraud crimes were allowed to go uncorrected because there was no checks or voluntary disclosure which poses the question.

Question:

As a CPA or an accounting professional, how would you handle the issue of inaccurate earnings on financials statements if the lead auditor of your firm chose to allow it to go uncorrected.

How would you handle a $10 dollar variance versus a $10 million dollar variance?

1. Copying and pasting from the Internet can be done without citing the Internet page, because everything on the Internet is common knowledge and can be used without citation. True False

2. You don’t have to use quotation marks when you quote an author as long as you cite the author’s name at the end of the paragraph. True False

3. When you summarize a block of text from another work, citing the source at the end of your paper is sufficient. True False

4. If you quote your roommate in an interview, you don’t have to cite him/her or use quotation marks. True False

5. You don't have to cite famous proverbs because they’re common knowledge. True False

6. If you borrow someone's idea and use it in a paper, you don’t have to cite it. True False

7. Using a few phrases from an article and mixing them in with your own words is not plagiarism. True False

8. Song lyrics don't have to be cited. True False

9. If you come across the phrase "to be or not to be" and use it in your paper, you have to cite it. True False

10. The date for George Washington’s birthday is common knowledge which means you don't have to cite the source in which you found it. True False

You are asking to develop a “Triangle Guessing” game in Python for the assignment. The program accepts the lengths of three (3) sides of a triangle as input from a player. The program output should indicate whether the triangle is a right triangle, an acute triangle, or an obtuse triangle.

1.Tips to help you for this assignment: Make sure each side of the triangle is a positive integer. Use try/except for none positive integer input.

2. Validating the triangle. That is the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Use try/except for invalid sides input.

3. For any wrong input, tell the player what is wrong and asking to re-enter.

4. Allow a player to play multiple times, for example, using a while loop. Remind the player what input to stop the game.

5. Develop your game/program a user friendly one. Document your program by adding comments: Introduce/describe the program including the author, date, goal/purpose of the program Document every variable used at the program even the name is meaningful Explain/comment operation/activity/logic of your code. For example, “Checking whether the inputs are positive integers” and “Checking the validity the 3 lengths to see if they are able to form a triangle”

6. Testing your program for all possible input and every of the 3 possible triangles

OBJECTIVE

Upon completion of this exercise, you will have demonstrated the ability to:

• Use C# loops
• Construct conditions

INTRODUCTION

Your instructor will assign one of the following projects, each involves the user of loops and the construction of conditions to control them.

CODING STANDARDS

The following coding standards must be followed when developing your program:

• An opening documentation at the beginning of the source file describing the purpose, input, process, output, author, last modified date of the program.
• Write only one statement per line.
• Write only one declaration per line.
• Use camelCase for local variable names.
• Use UPPER_CASE for constant variable names.
• If continuation lines are not indented automatically, indent them one tab stop (four spaces).
• Do NOT use goto or break statements in your looping structure.

PROJECTS

1. Create a C# Console App named CPSC1012-Exercise04-YourName where YourName is your first and last name.
2. Solve the problems below:
   1. Write a program that will read a sequence of numbers from the keyboard (you are free to choose the input flow method of your choice), and display the minimum, maximum, average, and range (highest minus lowest) of the entered values.  Validate the input.

DEMONSTRATION/SUBMISSION REQUIREMENTS

1. Demonstrate the execution of your program in which you show all functionality of your program.
2. Upload your completed project to Moodle.