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Write a C# program that displays the current directory and then and size of all files are stored in the directory. Your display should be aesthetically pleasing. Numbers should be number aligned and matted with a separator. Provide headings over the column listings.

Solve the PDE whose auxiliary equations as follows: 𝑑𝑥/ 2𝑦(𝑧 − 3) = 𝑑𝑦 /𝑦(2𝑥 − 𝑧) = 𝑑𝑧 /𝑦(2𝑥 − 3)


compare and contrast meditation and prayer



1a) Read paragraph 1 and Identify the verb phrase in the passive voice in the first

line

(1 mark)

1b) Write out the proper nouns in lines 3 and 4 of the paragraph


1c) There is a noun phrase at the beginning of paragraph 2, identify and write it out

in full.

(1 mark)


1d) What function is the noun phrase you have identified and written out performing

in the sentence in which it occurs?

(1 mark)

2a) Identify the two relative clauses used by the author in paragraph 3

(2 marks)

2b) In each of the clauses you have identified, state the noun to which the relative

pronoun in the clause refer to in the sentence

(2 marks)

2c) Adverbs are words which mostly describe verbs, in paragraph 4, write out the

two verbs that have been described by the adverb “quickly”.

(2 marks)

3a) What type of sentence is the sentence in paragraph 5?

(1 mark)

3b) Give one reason for your answer in 3a)

(1 mark)

3c) Write out the verb phrase in the past participle form in paragraph 6

(1 mark)



The elasticity of supply shows the responsiveness of the seller to changes in price. In what way can seller's utilize such information?


1.  Let A = {c, n, b}, B = {x, y} and C = {0, 1}.

Find

a)   A X B X C

b)   C X B X A

c)   B X C X C 


1. Determine whether these functions are onto, one-to-one, both or neither. Justify your answer.

a)   f(1) = c, f(2) = d, f(3) = a, f(4) = d, f(5) = b

b)   g(1) = d, g(2) = c, g(3) = a, g(4) = b

c)   h(1) = b, h(2) = d, h(3) = b, h(4) = c



Consider a monopolistically competitive market with N firms. Each firm's business opportunities are described by the following equations:


Demand: Q=100/N−P


Marginal Revenue: MR=100/N−2Q


Total Cost: TC=50=Q2


Marginal Cost: MC=2Q


a. How does N, the number of firms in the market, affect each firm's demand curve? Why?


b. How many units does each firm produce? (The answers to this and the next two questions depend on N.)


c. What price does each firm charge?


d. How much profit does each firm make?


e. In the long run, how many firms will exist in this market?

State whether the following statements are true or false and reason for support it

(1) If the level of significance is the same, the area of the rejection region in a two tailed test is less than that in a one tailed test.

(2)Non parametric tests are more powerful than the parametric tests

(3)If T1 and T2 are two estimators of the parameter theta such that varience of T2 =1/n and varience of T2=n then T1 is more efficient than T2










A 95% confidence interval is smaller than 99% confidence interval. State whether the given statement is true or false give reason in support of answer

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