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Mat 222 week 1 dq 1

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Week 1 – Discussion 1

 

Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses.

 

     

Domains   of Rational Expressions

Domains of Rational Expressions

In this discussion, you are assigned two rational expressions to work on. Remember to factor all polynomials completely. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

   

If   your assigned number is:

Your   first rational expression is

Your   second rational expression is

 

1

a2   + 2a – 10
  –11a

2x   – 8
  x2 – x

 

2

y2   + 11y + 30
  y + 5 

5a   – 3
  a2 – 49 

 

3

u2   + u – 72
  3u – 15

2w   – 1
  w2 – 9 

 

4

x2   – 6x – 55
  x2 – 3x – 28

b   – 3
  4b2 – 16 

 

5

16b2   – 1
  2b2 + 11b – 6

c2   + 2c – 10
  10c2 – 80c + 160

 

6

4w2   – 9
  –5w

y2   – 4
  2y2 + y – 1

 

7

a2   + 6a + 9
  a – 10

t2   + 2t – 10
  t2 – 6t + 8

 

8

81m2   – 16
  5m + 10

22x   + 11
  2×2 – x

 

9

3a2   + 16a + 5
  a2 – 7a + 10

b2   + 7b + 10
  b2 – 9 

 

10

4×2   – 1
  6x – 18 

r2   + 2r – 24
  r – 2 

 

11

t2   – 14t + 49
  4t – 8

3q2   – 22q + 24
  q2 – 1

 

12

v2   – v – 20
  v2 + 4v + 3

6t   – 3
  t 

 

13

n2   – 2n  – 15
  n – 2

8k   + 6
  8k2 + 2k – 3 

 

14

64k2   – 9
  2

s2   + 2s – 15
  s2 – 36 

 

15

4k2   – 12k + 9
  4k

3w2   + 36
  2w – 8 

 

16

5m2   + m
  m + 6

12a   – 15
  5a – 25 

 

17

7t2   – 14t
  4t2 – 9

36   – w2
  w 

 

18

22x   + 11
  x2 – 3x – 10

1   – 2c
  20c2 + 10c 

 

19

20c3   + 5c2 – c
  7c – 14

3a2   – 12a  
  24a2 – 18a

 

20

g2   – 36
  6g2 + 15g

7n   – 2
  4n2 – 25

 

21

1   – 2x + x2
  x2 – 1

2c2   + 5c – 25  
  14c – 21 

 

22

144   – w2
  8 – 2w

z2   – 8z + 16
  –12

 

23

4   + 16n2
  n – 8

3×2   – 2x – 1  
  x2 – 81

 

24

y2   – 25
  –6y

     37       
  2p – 4p2

 

25

a2   – 100
  a2 + 5a + 6

3b2   – 9  
  b – 8 

 

26

1   – x2
  x2 + 10x + 25

2u   – 2
  1 – u 

 

27

3z   + 3
  3z

5y3   – 75y
  2y2 + y – 15 

 

28

9   – 36×2
  8

15k2   – 5k
  k2 – k – 30

 

29

x2   – 7x + 12
  5x

w2   – 9w – 36  
  16w2 – 1

 

30

m2   + 13m + 40
  6m

4y   – 3
  25y2 – 4 

 

31

k2   – 8k
  17

2b   + 1  
  3b2 – 12 

 

32

9b2   + 3
  41

2x   – 6
  10×2 + 5x 

 

33

15×2   + 45
  50x

42
  m2 – 3m  

 

34

g2   + 46g
  g

3k   + 1
  k2 + k – 42 

 

35

4a   – 5
  14

4m3   +16m
  3m2 – m

 

36

x2   – 25
  23

b2   – 18b + 81
  3b2 – 12

 

37

9m2   – 4
  23

5x   + 15
  x2 – 49 

 

38   

d2   + 9
  33

m2   + 4m – 5
  5m2 + m

 

39   

13n2   – 13n
  6n

2w   + 1
  9w2 – 1

 

40

4×3   – 16
  x

14   
  2b2 – 8  

 

41

x2   + 2x – 10
  3x

2x   – 8
  x2 – 7x + 10

 

42

x2   + x – 72
  24

5b   – 3
  b2 – 4 

 

43

w2   + 11w + 30
  7w

2n   – 1
  4n2 – 9

 

44

g2   – 6g – 55
  g

k3   + k
  k2 – k – 42 

 

45

16t2   – 1
  64

x2   + 2x – 10
  3x – 15

  • Explain in your own words what the meaning of domain      is. Also, explain why a denominator cannot be zero.
  • Find the domain for each of your two rational      expressions.
  • Write the domain of each rational expression in set      notation (as demonstrated in the example).
  • Do both of your rational expressions have excluded      values in their domains? If yes, explain why they are to be excluded from      the domains. If no, explain why no exclusions are necessary. 
  • Incorporate the following five math vocabulary words      into your discussion. Use bold font to emphasize the words in your      writing. Do not write definitions for the words; use them appropriately in      sentences describing your math work.
    • Domain 
    • Excluded value 
    • Set
    • Factor
    • Real numbers

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7. Is their work similar to your own? Did they use the vocabulary words correctly? Do you understand their answers? 

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion. 

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July 1, 2023
    

The assignment revolves around the Case Study, which may be found as a separate PDF document in the Resources section of the subject Interact site.

Objective

To apply and consolidate skills acquired in the requirement and analysis disciplines through analysis of a simple case study, and to express the results through the relevant UML diagrams.

Tasks

Part A - Use Cases (25 marks)

  1. Perform a requirements analysis for the Case Study. Express the results using the following artefacts:
    1. A use case diagram for the functional requirements of the entire system, accompanied by:
    2. Short use case descriptions for all use cases.
  2. Select the most essential (critical core) use case in the system, and produce a full use case description for it .
  3. Produce an activity diagram that expresses the workflow for that use case.

Part B - System-wide/Non-functional Requirements (15 marks)

  1. Produce a system-wide (non-functional) requirement document that documents the architectural requirements the system must address.

Part C - Use Case Realization (30 marks)

  1. Develop a domain model for the Case Study. Express your model with a class diagram, showing any inheritance and compositional relationships.
  2. Develop a use case realization showing the sequence of messages involved for the use case selected for the full description in Part A. Express this use case realization in a communication diagrams. Use the GRASP concept of a Controller class to coordinate the use case.
  3. Translate the communication diagram produced for Task 6 into an equivalent sequence diagram.

Part D - Analysis Classes(10 marks)

  1. Prepare a summary analysis class diagram showing the attributes and methods required by problem domain classes involved in the use case realized in Part C.

Part E - Object Interactions (10 marks)

  1. Prepare operation specifications for the two most complex methods contained in one of the nominated objects specified for the Case Study.

Part F - Object State (10 marks)

  1. Create a state diagram for the object chosen for Part E. Nominated objects will be listed in the Case Study.

Rationale

This assignment elicits performance of taught skills in the architecture and design areas relevant to the following learning objectives:

  • be able to analyse and validate system requirements;
  • be able to produce and validate analysis and design models for a system;
  • be able to demonstrate use of a CASE tool to document the models in a system.

Marking criteria

Use Cases

  • Is a correct concept of use cases demonstrated?
  • Are sensible use cases identified?
  • Are all use cases identified?
  • Are any extraneous use cases included?
  • Is correct UML syntax used (system box, actors,use cases, extends/includes)?
  • Are all use cases described briefly?
  • Do use cases have sensible names (identifies intent with verb)?
  • Are the short use case descriptions sensible/correct?
  • Are the most critical and important use cases correctly identified?
  • Are normal and alternate flows identified in the full use case description?
  • Are pre-conditions and post-conditions identified in the full use case description?
  • Is the full use case description consistent with the case study?
  • Is the activity diagram consistent with full use case descriptions?
  • Does the activity diagram use correct UML syntax?

System-wide/Non-functional Requirements

  • Are all system-wide/non-functional requirements identified?
  • Are sensible inferences from the system-wide requirements discussed?
  • Are business rules identified and described?
  • Are all domain objects identified?
  • Are any extraneous objects included?
  • Are inheritance relationships correctly identified?
  • Are composition/aggregation relationships correctly identified?

Use Case Realizations

  • Is there a coherent sequence of messages?
  • Are the messages consistent with Domain model?
  • Does the message sequence support the use case as described?
  • Does the communication diagram use correct UML syntax?
  • Is the sequence diagram consistent with the communication diagram?
  • Is there a coherent sequence of messages (no miracles)?
  • Is the sequence diagram consistent with the domain model?
  • Does the sequence diagram support the use case as described?
  • Does the sequence diagram use correct UML syntax?

Summary Analysis Class Diagram

  • Is the summary analysis class diagram consistent with the use case realization?
  • Is the summary analysis class diagram consistent with the domain model?
  • Are all methods required by use case realizations identified?
  • Are all attributes necessary to support methods identified?
  • Does the summary analysis class diagram use correct UML syntax?

Operation Specification

  • Is the operation specification consistent with the use case realization?
  • Is the operation specification consistent with the domain model?
  • Are pre-conditions identified and specified?
  • Are post-conditions identified and specified?
  • Are parameter types and rangesspecified?
  • Is business logic specified?

State Diagram

  • Is a correct concept of states and transitions displayed?
  • Is the state diagram consistent with the use case realization?
  • Are sensible additional transitions identified?
default image
July 1, 2023
    

The assignment revolves around the Case Study, which may be found as a separate PDF document in the Resources section of the subject Interact site.

Objective

To apply and consolidate skills acquired in the requirement and analysis disciplines through analysis of a simple case study, and to express the results through the relevant UML diagrams.

Tasks

Part A - Use Cases (25 marks)

  1. Perform a requirements analysis for the Case Study. Express the results using the following artefacts:
    1. A use case diagram for the functional requirements of the entire system, accompanied by:
    2. Short use case descriptions for all use cases.
  2. Select the most essential (critical core) use case in the system, and produce a full use case description for it .
  3. Produce an activity diagram that expresses the workflow for that use case.

Part B - System-wide/Non-functional Requirements (15 marks)

  1. Produce a system-wide (non-functional) requirement document that documents the architectural requirements the system must address.

Part C - Use Case Realization (30 marks)

  1. Develop a domain model for the Case Study. Express your model with a class diagram, showing any inheritance and compositional relationships.
  2. Develop a use case realization showing the sequence of messages involved for the use case selected for the full description in Part A. Express this use case realization in a communication diagrams. Use the GRASP concept of a Controller class to coordinate the use case.
  3. Translate the communication diagram produced for Task 6 into an equivalent sequence diagram.

Part D - Analysis Classes(10 marks)

  1. Prepare a summary analysis class diagram showing the attributes and methods required by problem domain classes involved in the use case realized in Part C.

Part E - Object Interactions (10 marks)

  1. Prepare operation specifications for the two most complex methods contained in one of the nominated objects specified for the Case Study.

Part F - Object State (10 marks)

  1. Create a state diagram for the object chosen for Part E. Nominated objects will be listed in the Case Study.

Rationale

This assignment elicits performance of taught skills in the architecture and design areas relevant to the following learning objectives:

  • be able to analyse and validate system requirements;
  • be able to produce and validate analysis and design models for a system;
  • be able to demonstrate use of a CASE tool to document the models in a system.

Marking criteria

Use Cases

  • Is a correct concept of use cases demonstrated?
  • Are sensible use cases identified?
  • Are all use cases identified?
  • Are any extraneous use cases included?
  • Is correct UML syntax used (system box, actors,use cases, extends/includes)?
  • Are all use cases described briefly?
  • Do use cases have sensible names (identifies intent with verb)?
  • Are the short use case descriptions sensible/correct?
  • Are the most critical and important use cases correctly identified?
  • Are normal and alternate flows identified in the full use case description?
  • Are pre-conditions and post-conditions identified in the full use case description?
  • Is the full use case description consistent with the case study?
  • Is the activity diagram consistent with full use case descriptions?
  • Does the activity diagram use correct UML syntax?

System-wide/Non-functional Requirements

  • Are all system-wide/non-functional requirements identified?
  • Are sensible inferences from the system-wide requirements discussed?
  • Are business rules identified and described?
  • Are all domain objects identified?
  • Are any extraneous objects included?
  • Are inheritance relationships correctly identified?
  • Are composition/aggregation relationships correctly identified?

Use Case Realizations

  • Is there a coherent sequence of messages?
  • Are the messages consistent with Domain model?
  • Does the message sequence support the use case as described?
  • Does the communication diagram use correct UML syntax?
  • Is the sequence diagram consistent with the communication diagram?
  • Is there a coherent sequence of messages (no miracles)?
  • Is the sequence diagram consistent with the domain model?
  • Does the sequence diagram support the use case as described?
  • Does the sequence diagram use correct UML syntax?

Summary Analysis Class Diagram

  • Is the summary analysis class diagram consistent with the use case realization?
  • Is the summary analysis class diagram consistent with the domain model?
  • Are all methods required by use case realizations identified?
  • Are all attributes necessary to support methods identified?
  • Does the summary analysis class diagram use correct UML syntax?

Operation Specification

  • Is the operation specification consistent with the use case realization?
  • Is the operation specification consistent with the domain model?
  • Are pre-conditions identified and specified?
  • Are post-conditions identified and specified?
  • Are parameter types and rangesspecified?
  • Is business logic specified?

State Diagram

  • Is a correct concept of states and transitions displayed?
  • Is the state diagram consistent with the use case realization?
  • Are sensible additional transitions identified?
default image
July 1, 2023
    

The assignment revolves around the Case Study, which may be found as a separate PDF document in the Resources section of the subject Interact site.

Objective

To apply and consolidate skills acquired in the requirement and analysis disciplines through analysis of a simple case study, and to express the results through the relevant UML diagrams.

Tasks

Part A - Use Cases (25 marks)

  1. Perform a requirements analysis for the Case Study. Express the results using the following artefacts:
    1. A use case diagram for the functional requirements of the entire system, accompanied by:
    2. Short use case descriptions for all use cases.
  2. Select the most essential (critical core) use case in the system, and produce a full use case description for it .
  3. Produce an activity diagram that expresses the workflow for that use case.

Part B - System-wide/Non-functional Requirements (15 marks)

  1. Produce a system-wide (non-functional) requirement document that documents the architectural requirements the system must address.

Part C - Use Case Realization (30 marks)

  1. Develop a domain model for the Case Study. Express your model with a class diagram, showing any inheritance and compositional relationships.
  2. Develop a use case realization showing the sequence of messages involved for the use case selected for the full description in Part A. Express this use case realization in a communication diagrams. Use the GRASP concept of a Controller class to coordinate the use case.
  3. Translate the communication diagram produced for Task 6 into an equivalent sequence diagram.

Part D - Analysis Classes(10 marks)

  1. Prepare a summary analysis class diagram showing the attributes and methods required by problem domain classes involved in the use case realized in Part C.

Part E - Object Interactions (10 marks)

  1. Prepare operation specifications for the two most complex methods contained in one of the nominated objects specified for the Case Study.

Part F - Object State (10 marks)

  1. Create a state diagram for the object chosen for Part E. Nominated objects will be listed in the Case Study.

Rationale

This assignment elicits performance of taught skills in the architecture and design areas relevant to the following learning objectives:

  • be able to analyse and validate system requirements;
  • be able to produce and validate analysis and design models for a system;
  • be able to demonstrate use of a CASE tool to document the models in a system.

Marking criteria

Use Cases

  • Is a correct concept of use cases demonstrated?
  • Are sensible use cases identified?
  • Are all use cases identified?
  • Are any extraneous use cases included?
  • Is correct UML syntax used (system box, actors,use cases, extends/includes)?
  • Are all use cases described briefly?
  • Do use cases have sensible names (identifies intent with verb)?
  • Are the short use case descriptions sensible/correct?
  • Are the most critical and important use cases correctly identified?
  • Are normal and alternate flows identified in the full use case description?
  • Are pre-conditions and post-conditions identified in the full use case description?
  • Is the full use case description consistent with the case study?
  • Is the activity diagram consistent with full use case descriptions?
  • Does the activity diagram use correct UML syntax?

System-wide/Non-functional Requirements

  • Are all system-wide/non-functional requirements identified?
  • Are sensible inferences from the system-wide requirements discussed?
  • Are business rules identified and described?
  • Are all domain objects identified?
  • Are any extraneous objects included?
  • Are inheritance relationships correctly identified?
  • Are composition/aggregation relationships correctly identified?

Use Case Realizations

  • Is there a coherent sequence of messages?
  • Are the messages consistent with Domain model?
  • Does the message sequence support the use case as described?
  • Does the communication diagram use correct UML syntax?
  • Is the sequence diagram consistent with the communication diagram?
  • Is there a coherent sequence of messages (no miracles)?
  • Is the sequence diagram consistent with the domain model?
  • Does the sequence diagram support the use case as described?
  • Does the sequence diagram use correct UML syntax?

Summary Analysis Class Diagram

  • Is the summary analysis class diagram consistent with the use case realization?
  • Is the summary analysis class diagram consistent with the domain model?
  • Are all methods required by use case realizations identified?
  • Are all attributes necessary to support methods identified?
  • Does the summary analysis class diagram use correct UML syntax?

Operation Specification

  • Is the operation specification consistent with the use case realization?
  • Is the operation specification consistent with the domain model?
  • Are pre-conditions identified and specified?
  • Are post-conditions identified and specified?
  • Are parameter types and rangesspecified?
  • Is business logic specified?

State Diagram

  • Is a correct concept of states and transitions displayed?
  • Is the state diagram consistent with the use case realization?
  • Are sensible additional transitions identified?
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Political Science, 6 pages
Admission Essay
August 5, 2021
    

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customer #11437
Tourism, 1 page
Discussion Essay
August 5, 2021
    

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Philosophy, 5 pages
Report
August 5, 2021
    

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Psychology, 4 pages
Essay (any type)
August 5, 2021
    

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customer #17823
Business, 8 pages

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

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Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

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Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

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Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

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Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

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