1. Define Gross Domestic Product, Unemployment, and Inflation.

2.  Find a current event article that discusses the current state of the US Economy. It should include discussion of GDP or Unemployment or Inflation.  

3. Provide an outline (five key points) about the article you found and read.  Make sure to include the Title, Date, and Source of your article.  

A 3.0 m length of wire is made by welding the end of a 100 cm long silver wire to the end of a 200 cm long copper wire . Each piece of wire is 0.80 mm in diameter. The wire is at room temperature, so the resistivities are as given in the table below. A potential difference of 5.0 V is maintained between the ends of the 3.0 m composite wire.

(a) What is the current in the copper section?. A

(b) What is the current in the silver section? A

(c) What is the magnitude of vector E in the copper? V/m

(d) What is the magnitude of vector E in the silver? V/m

(e) What is the potential difference between the ends of the sliver section of wire? V

Nonlinear Comparative Statics: Consider the supply and demand system represented by these two “structural” equations:

Q = S(P, W)

Q = D(P, Ps)

Here Q is quantity, P is market price, W is the wage, and Ps is the price of a substitute good. The endogenous variables are P and Q: determine how they respond to the exogenous variables Ps and W. You should totally differentiate this structural form in order to derive the partial derivatives of the implicit reduced form. Provide intuitve economic reasoning to sign the partial derivatives of the structural model functions, and use this information to sign the complete comparative statics results. Specifically:

- Totally differentiate the two equations. Provide an intuitive verbal interpretation of the differentials.

- Prepare for the comparative statics experiments by setting up a matrix representation of this system.

-Produce the inverse of the coefficient matrix. Prove by matrix multiplication that you actually have an inverse.

-Use your inverse matrix to solve for dP and dQ in terms of the exogenous changes dPs and dW.

- Provide extra detail for one comparative-statics experiment: find and sign ∂Q/∂W. Explain how you get from the previous step to this result.

- Provide a graphical illustration of this comparative-statics experiment.

1,Diagram and describe a simple spinal reflex. Be sure to indicate all of the major components, and explain what they do. Indicate how a spinal reflex could be more complex than this simple reflex, and explain why a reflex might have to be complex. Give at least two examples to illustrate your point (just brief descriptions). How does a cranial reflex differ from a spinal reflex?

2, Describe the structure of blood vessel walls. Be sure to include all classes of blood vessels, showing how they are similar and how they differ among themselves. For major components, briefly (a few words) state the function.

Write a GUI based Python program that will allow the user to perform (i) generate RSA keys, (ii) encrypt a given message and (iii) decrypt the message without using any cryptographic library. Your program will generate the values of p unless the user provides them manually. Then the program will generate the keys (private and public). Then the program will allow the user to enter his/her message to be encrypted. Finally, the program will perform the decryption operation as well. Following link may give you some more ideas about the expectation of your program.

https://www.mobilefish.com/services/rsa_key_generation/rsa_key_generation.php

Subtask and mark distribution:

• Friendly and logical GUI [5 marks]

• Key generation [8 marks]

• Encryption [3 marks]

• Decryption [3 marks]

• Performance enhancement [8 marks] : Due to the limitation of the size of integer type variables, many operations such as xy, xy etc. would not be possible when the value of x, y will be very high. Hence, you would not be able to work with big prime numbers. By definition, this will provide a weak RSA. Under this task you have to optimize the algorithm and implementation to support bigger number. You have to include an extra section in the report to explain how you have achieved this enhancement.

• Report and presentation [8 marks]

QUESTION 7

Flying Kangaroo Ltd is an Australian resident company that provides air services between Australia and Canada. It has also reached an agreement with the Canadian government that allows it to fly a short haul domestic flight in Canada. The profits of the company are as follows:

• Flights between Australia and Canada           - $15,000,000
• Domestic Flights within Canada                    - $700,000

Article 8 of the DTA between Australia and Canada relevantly provides:

1. Profits from the operation of ships or aircraft derived by a resident of one of the Contracting States shall be taxable only in that State.

2. Notwithstanding the provisions of paragraph 1, such profits may be taxed in the other Contracting State where they are profits from operations of ships or aircraft confined solely to places in that other State.
3. …. [not relevant]
4. …. [not relevant]

REQUIRED

1. How do Double Tax Agreements (DTAs) interact with domestic tax laws?
2. What profits of Flying Kangaroo Ltd would be taxed in Australia?

Make sure you explain your answer.

Let us divide the odd positive integers into two arithmetic progressions; the red numbers are 1, 5, 9, 13, 17, 21, ... The blue numbers are 3, 7, 11, 15, 19, 23,....

(a) Prove that the product of two red numbers is red, and that the product of two blue numbers is red.

(b) Prove that every blue number has a blue prime factor.

(c) Prove that there are infinitely many blue prime numbers. Hint: Follow Euclid’s proof, but multiply a list together, multiply the result by four, then subtract one.

**Assume that both Plain and Peanut M&M candies are normally distributed.

1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and brown.

a. Test the claim that the proportion of red M&Ms is greater than the proportion of brown M&Ms.

b. Test the claim that the proportion of red M&Ms is less than the proportion of brown M&Ms.

Total number of M&M's: 665

Total number of red M&M's: 76

Total number of brown M&M's: 66

A car dealership has 6 red, 11 silver and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below. Please write clearly. Thank you!

A: find the probability that 4 cars are red and the rest are silver. (round to four decimal places as needed)

B: Find the probability that 5 cars are red and 5 are black. (round to six decimal places as needed)

C: Find the probability that exactly 6 cars are red. (round to five decimal places as needed)