1 The Function Of The Rules Of Inference Is To Justify The Steps Of A Proof A True B 2861969

1. The function of the rules of inference is to justify the steps of a proof. A) True B) False 2. A proof is a sequence of steps in which each step is either a premise or follows from earlier steps in the sequence according to the rules of inference. A) True B) False 3. Implication rules can be validly applied to part of a line. A) True B) False 4. According to the axiom of replacement, logically equivalent expressions may replace each other within the context of a proof. A) True B) False 5. Replacement rules are pairs of logically equivalent statement forms. A) True B) False 6. Conditional proof (CP) is a method that starts by assuming the negation of the required statement and then validly deriving a contradiction on a subsequent line. A) True B) False 7. Indirect proof (IP) is a method that starts by assuming the antecedent of a conditional statement on a separate line and then proceeds to validly derive the consequent on a separate line. A) True B) False 8. Invalid arguments cannot be proven as invalid using the methods of natural deduction. A) True B) False Document Preview:

Introduction to Formal Logic – Natural Deduction Examination – Spring 2014 Part I: True/False Instructions. Please circle ‘True ‘if the statement is true and ‘False’ if the statement is false. (2 pts each) 1. The function of the rules of inference is to justify the steps of a proof. A) TrueB) False 2. A proof is a sequence of steps in which each step is either a premise or follows from earlier steps in the sequence according to the rules of inference. A) TrueB) False 3. Implication rules can be validly applied to part of a line. A) TrueB) False 4. According to the axiom of replacement, logically equivalent expressions may replace each other within the context of a proof. A) TrueB) False 5. Replacement rules are pairs of logically equivalent statement forms. A) TrueB) False 6. Conditional proof (CP) is a method that starts by assuming the negation of the required statement and then validly deriving a contradiction on a subsequent line. A) TrueB) False 7. Indirect proof (IP) is a method that starts by assuming the antecedent of a conditional statement on a separate line and then proceeds to validly derive the consequent on a separate line. A) TrueB) False 8. Invalid arguments cannot be proven as invalid using the methods of natural deduction. A) TrueB) False 9. One of the rules of inference is DeMorgan’s theorem: ~(P v Q) :: (~P · ~ Q) A) TrueB) False 10. When an indirect proof is discharged, any lines derived from the assumption can no longer be used in the subsequent proof. A) TrueB) False Part II: Rules of Implication Instructions. Using the rules of implication, please provide the proofs for the following problems. Please provide justifications for each step. (7 pts each) 11. 1. T ? ( P v Q ) 2. S v ~ ( P v Q ) 3. ~S / ~ T 12. 1. ( S ? R ) · Q 2. R ? T / S ? T 13. 1. [ (…

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1 The Following Info Is Available Items Maturity Amount 1 A Chf Payable 1 Month 2 00 1545258

1. The following info is available

ITEMS

MATURITY

AMOUNT

1. A CHF payable

1 month

2,000,000.

2. A CHF deposit

3 month

1,500,000.

3. A CHF receivable

1 month

500,000.

4. A CHF forward sale

6 month

450,000.

5. A CHF loan

6 month

1,000,000.

6. A CHF payable

9 months

850,000.

7. A CHF forward purchase

9 months

500,000.

8. A CHF loan

12 months

2,500,000.

Incase of a deposit or a loan, the amount is the maturity value which includes interest and the principal. The CHF interest rate is 6% for all maturities and is known to remain at this level with certainty.

You are required to work out a neat forex transaction plan for next one year to ensure smooth receipts and payments by the British company.

 
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1 The Following Reasons Are Good Motives For Mergers Except I Economies Of Scale Ii 2847111

1. The following reasons are good motives for mergers except: (I) Economies of scale (II) Complementary resources (III) Diversification (IV) Eliminating Inefficiencies A) I only B) II only C) III only D) I, II, and IV only 2. The following are good reasons for mergers: (I) Surplus funds (II) Eliminating inefficiencies (III) Complementary resources (IV) Increasing earnings per share (EPS) A) I only B) I and II only C) I, II, and III only D) IV only 3.The following are good reasons for mergers: (I) Economies of scale (II) Economics of vertical integration (III) Complementary resources (IV) Surplus funds (V) Eliminating inefficiencies (VI) Industry consolidation A) I only B) I, II, and III only C) I, III, IV, and V only D) I, II, III, IV, V, and VI 4.The following are dubious reasons for mergers: (I) to diversify (II) increasing the earnings per share (EPS) (III) lower financing costs (IV) industry consolidation A) I only B) II and IV only C) III and IV only D) I, II, and III only 5.Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. What is the gain from this merger? A) $30 million B) $20 million C) $15 million D) $75 million 6. Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. What is the cost of this merger? A) $30 million B) $20 million C) $5 million D) $10 million 7.. Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. How much do firm A’s shareholders gain from this merger? A) $30 million B) $20 million C) $15 million D) $5 million

 
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1 The Figure Represents The Head Of A Pole Mounted Tree Pruner Determine The Force A 2715161

1. The figure represents the head of a pole-mounted tree pruner. Determine the force applied by the cutting blade ED on the tree branch when the vertical rope attached at A is pulled with the force P which is equal to 200 N.

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1 The Following Are Theories Of Social Change Except A Functionalist B Theory Of Rea 2841425

1.The following are theories of social change except A.Functionalist B.Theory of reasoned action C.Conflict D.Cyclic

 
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1 The External Diameter Of An Inward Flow Reaction Turbine Is 0 5m The Width Of The 2766029

1)The external diameter of an inward flow reaction turbine is 0.5m. The width of the wheel at inlet is 150mm and the velocity of flow at inlet is 1.5 m/s .Find the rate of flow passing through the turbine. Document Preview:

The external diameter of an inward flow reaction turbine is 0.5m. The width of the wheel at inlet is 150mm and the velocity of flow at inlet is 1.5 m/s .Find the rate of flow passing through the turbine. Solution:- D1 = 0.5m B1 = 0.15m Vf1 = 1.5m/s Q = ? Discharge through the tubine, Q = p D1 B1 Vf1= p *0.5* 0.15*1.5=0.353 Q=0.353 m3/s (Ans)

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1 The Structural Model Of An Economy Is Given As Below C 400 0 8y D Consumption Func 1754241

1. The structural model of an economy is given as below

C=400+0.8Yd Consumption function

I=350 Investment

G=450 Government expenditure

T=200 Tax

i) Derive the savings function (2 marks)

ii) Derive the government expenditure and tax multiplier (4 marks)

iii) Compute equilibrium income and consumption (4 marks)

 
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1 The Speedway Clinical Laboratory Is A Scientific Blood Testing Facility That Recei 2818849

1. The Speedway Clinical Laboratory is a scientific blood-testing facility that receivessamples from local hospitals and clinics. The blood samples are passed through severalautomated tests, and the results are printed through a central computer that readsand stores the information about each sample that is tested.

Management is concerned about the quality of the service it provides and wants toestablish quality-control limits as a measure for the quality of its tests. Such managerialpractice is viewed as significant, because incorrect analysis of a sample can leadto a wrong diagnosis by the physician, which in turn might cost the life of a patient.

For this reason, 100 blood samples were collected at random each day after they hadgone through testing. After retesting was performed manually on this sample, theresults were:

Day

Incorrect Analysis

Day

Incorrect Analysis

Day

Incorrect Analysis

1

8

8

6

15

2

2

3

9

3

16

1

3

1

10

1

17

0

4

0

11

4

18

6

5

4

12

6

19

3

6

2

13

5

20

2

7

9

14

10

 
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1 Title Initially This Might Be Regarded As A Working Title And Ideally Should Mirro 2942243

1) Title: initially this might be regarded as a working title, and ideally should mirror closely the content of the introduction. The title is particularly important as it will get people to stop and listen. 2) Introductory part: This informs the reader of the problem or situation and the context you are interested in. The goal is to give the viewers some basic academic information they can use to evaluate the significance of the research proposal. 3) Rationale for this study. – What is the research issue? – Why is it an issue? – Why is it an issue now? – What could this research shed light on? Document Preview:

1) Title: initially this might be regarded as a working title, and ideally should mirror closely the content of the introduction. The title is particularly important as it will get people to stop and listen. 2) Introductory part: This informs the reader of the problem or situation and the context you are interested in. The goal is to give the viewers some basic academic information they can use to evaluate the significance of the research proposal. 3) Rationale for this study. – What is the research issue?- Why is it an issue?- Why is it an issue now?- What could this research shed light on? You have to introduce the topic and clarify the significance of what you are trying to present. That is, you have to present research questions with a logical sequencing of facts. You have to give examples to illustrate your rationale. Be sure to have a conclusion that summarises your take-home message (why is it an issue now? what could this research shed light on?). Your introduction should be constructed so that it presents the desired information in a self- explanatory manner. You have to think of the introduction as a highly efficient, organised document upon which appear synopsis of the relevant information you want to convey (what is the research issue?), Just enough to get your point across. 4) Include references: You are required to identify previously conducted research in the area that you are focusing on. These sources need to be referred within your rationale section. Make it clear that you know what has been done in your area in the past and where your research will fit in. 5) Format: You have to make your introduction appealing. Simplify and include only relevant information. Be attentive to the structure and placement of your content. Write clearly. Make sure your introduction includes complete sentences and accurate spelling and punctuation. I hope it is clear now. I have attached a sample mark sheet as well so that you know how marks are…

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1 The School Of Information Technology Amp Engineering Site Would Like To Help Its M 2766222

1.

The School of Information Technology & Engineering (SITE) would like to help its Master of Networking students with placement in various companies and firms. To facilitate this, they need to design a database with the primary purpose of scheduling interviews and facilitating searches by students and companies that are looking for candidates. MIT’s IT Manager provided following business rules to the software developer:

Complete the information-level design for the new database “MIT training” that satisfies the constraints and user view requirements given below. In order to complete the information-level design you are required to answer questions given below 1(a) – (e)

User view 1 requirement: The database should have information about students, job openings, companies, interviewers and interviews. Student’s first name, last name, student id number, driver’s license number and expected graduation date must be recorded.

User view 2 requirements: Companies post job openings that students can apply for. For each job posting, the date, application deadline of the posting, title of the position, base salary, minimum requirements, and description are recorded.

User view 3 requirements: One student can apply for many open positions (Job postings) in different companies, and the date and time of each application is recorded. Students should also be able to see the status of their application (whether there will be a follow-up interview and whether they were turned down for the position).

User view 4 requirements: Interviews can be facilitated by the University and interviews are conducted by the respective companies. It is required to keep track of date and time of the interview, conference room location, which employees interviewed which students, as well as the result of the interview. A company from the Business School reserves MIT conference rooms and the company needs to specify the resources needed (e.g. computer, projector, etc.).

User view 5 requirements: An interviewer is an employee of a company and he/she has an employee id, telephone number and position title.

User view 5 requirements: A company has an identifier, name, main contact number and main fax number.

a. Analyse the all user requirements, identify and list all entities described in each user requirement.

(5 Marks)

b. Add attributes to these entities and represent these entities (or Tables) and attributes as a collection of Tables and attributes. You are required to arrange them as given in the example below.

NB: Select a suitable primary key for each table and underline it.

Eg. Student (StudentID, Fname,…….

(10 Marks)

c. Outline all relationships between entities.

Eg. : One students can apply for many open positions (Job postings) in all companies – One-to-many,

(5 Marks)

d. Determine the functional dependences.

Eg. StudentID àFname, address, ……

(10 Marks)

e. Then normalise these tables. Make the normalization to 3NF. Show every step in the process.

(10 Marks)

2. Represent the structure of your database visually by using the entity-relationship (E-R) diagram. If you make any assumptions about data that doesn’t appear in the problem, these must be clearly described.

You need to use Visio or any other software tool to create the ER diagram.

(15 Marks)

3. Build this model using MS Access/MS SQL Serverby creating these tables and Relationships. Populate these tables with appropriate data, include at least 3 records in each table.

(10 Marks)

4. Give one example of a type report that can be obtained from this “MIT training” database.

(5 Marks)

 
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