In the following problem, assume that the UK currency is the pound sterling (PST) and the currency in the rest of the Europe is the euro (EUR).

a. Suppose that the PST appreciates relative to the EUR. Provide an explanation.

(i) In the UK:

‐ How would the export demand change? Why?

‐ How would the import demand change? Why?

‐ How would net exports change? Why?

(ii) In the rest of Europe:

‐ How would export demand change? Why?

‐ How would import demand change? Why?

‐ How would net exports change? Why?

Suppose that the central bank in the UK (The Bank of England) decides to raise interest rates because it is worried about high inflation. As a result, interest rates in the UK become higher than interest rates in the REST OF EUROPE. This acts as an incentive for EUROPEAN investors to increase the amount of funds they invest in British (UK) interest bearing assets. In order to increase their purchases of those UK assets, which are priced in PST, EUROPEAN investors have to convert EUR into PST. This conversion, in turn, increases the demand for PST. Based on the above information, please explain what will happen to the EUR--‐‑PST exchange rate. In other words, will the increased demand for PST, make PST gain value (appreciate) or lose value (depreciate) against the EUR? Why?

2. A small air bubble is rising in a liquid under creeping flow. Write the biharmonic equation and boundary conditions (it is the boundary conditions that differ greatly for the case of solid sphere). If ψ = r.f(θ), obtain a fully solution and show that the drag on the sphere is 4πµRU where U is the terminal velocity and R is the bubble radius. Calculate its Brownian diffusivity.

Provide an example

1) A nested sequence of closed, nonempty sets whose intersection is empty.
2) A set A that is not compact and an open set B such that A ∪ B is compact.

3) A set A that is not open, but removing one point from A produces an open set.

4) A set with infinitely many boundary points.

5) A closed set with exactly one boundary point

Consider the Sturm-Liouville problem
X′′(x) + λX(x) = 0 subject toX′(0) = 0, X(l) = 0.

1. Are the boundary conditions symmetric?

2. Do these boundary conditions yield negative eigenvalues?
3. Determine the eigenvalues and eigenfunctions, Xn(x). (It is enough in some cases to provide the equation that determines the eigenvalues rather than an explicit formula.)
4. Are the eigenfunctions orthogonal?

Assuming the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample of size n = 7:

1 2 3 4 5 6 7

The mean is 4 and Standard Deviation 2.16

1. What is the lower boundary of the interval to two decimal places?

2. What is upper boundary of the interval to two decimal.

You are a legal assistant for the attorney of the FUN company. You must conduct research and find three (3) court opinions (i.e. cases that have been previously decided by the court) that are precedent (i.e. have similar facts and issues of law) to the case below. You must provide the case title and citation of each of the three (3) cases you find.

Three months ago the CEO for FUN Company sent a letter to the Pastor for the Church of Stranger Things pledging a $3,000,000.00 donation to the Church. Upon receipt of this news, the Pastor contacted FUN’s CEO who re-assured the Pastor that the Church would be receiving a check for this amount within the ensuing four to six weeks. The Pastor, who for several years had wanted to expand the Church in order to increase its congregation, immediately hired an architect and paid him $400,000.00 to design the new ambitious project. The Pastor was in love with the architect’s design, so he quickly hired a general contractor for $750,000.00 to start the building process. In addition to the $750,000.00 for the labor, the Pastor paid another 1,100,000.00 for the tools and materials needed for the project. Five weeks after receiving the letter and first speaking to FUN’s CEO on the phone, the bishop called FUN because he was nervous about the fact that he had not received the check and he had already incurred such significant expenses. Note that the only reason the Pastor engaged in this ambitious construction project was because of the extra money he was counting on getting from FUN since the Church’s structure did not need it to continue its regular operations. The CEO at that point told the Pastor that soon after committing to donate the money, FUN’s finances started going terribly wrong and as such at this point, they were not able to make a donation to the church. The Pastor is now demanding that FUN still true to its word and give the church the donation.

write a problem statement on Christians consistent lateness to church

1. Diamond makes an argument that all stratified societies employ one (or a combination) of four means to enable and justify the distribution of the social surplus. From the readings, discuss feudal stratification and how it was enabled and justified.

2. The basic economic ideology concerning market activity in Feudal times arose from the Church. What did the church consider sinful or acceptable regarding economic activity and why?