do my math homework

Unit 14 : Maths for Computing – do my math homework

Unit 14 : Maths for Computing – do my math homework

Pearson  Higher Nationals in   Computing

       Higher Nationals –  Internal verification of assignment brief – BTEC (RQF)

 Higher Nationals

Internal verification of assessment decisions – BTEC (RQF)

Higher Nationals – Summative  Assignment  Feedback  Form

* Please note that grade decisions are provisional. They are only confirmed once internal and external moderation has taken place and grades decisions have been agreed at the assessment boa

General Guidelines

1. A Cover page or title page – You should always attach a title page to your assignment. Use previous page as your cover sheet and make sure all the details are accurately filled.
2. Attach this brief as the first section of your assignment.
3. All the assignments should be prepared using a word processing software.
4. All the assignments should be printed on A4 sized papers. Use single side printing.
5. Allow 1” for top, bottom , right margins and 1.25” for the left margin of each page.

Word Processing Rules

1. The font size should be 12 point, and should be in the style of Time New Roman.
2. Use 1.5 line spacing. Left justify all paragraphs.
3. Ensure that all the headings are consistent in terms of the font size and font style.
4. Use footer function in the word processor to insert Your Name, Subject, Assignment No, and Page Number on each pag This is useful if individual sheets become detached for any reason.
5. Use word processing application spell check and grammar check function to help editing your assignment.

Important Points:

1. It is strictly prohibited to use textboxes to add texts in the assignments, except for the compulsory information. eg: Figures, tables of comparison etc. Adding text boxes in the body except for the before mentioned compulsory information will result in rejection of your work.
2. Avoid using page borders in your assignment body.
3. Carefully check the hand in date and the instructions given in the assignment. Late submissions will not be accepted.
4. Ensure that you give yourself enough time to complete the assignment by the due date.
5. Excuses of any nature will not be accepted for failure to hand in the work on time.
6. You must take responsibility for managing your own time effectively.
7. If you are unable to hand in your assignment on time and have valid reasons such as illness, you may apply (in writing) for an extension.
8. Failure to achieve at least PASS criteria will result in a REFERRAL grade .
9. Non-submission of work without valid reasons will lead to an automatic RE FERRAL. You will then be asked to complete an alternative assignment.
10. If you use other people’s work or ideas in your assignment, reference them properly using HARVARD referencing system to avoid plagiarism. You have to provide both in-text citation and a reference list.
11. If you are proven to be guilty of plagiarism or any academic misconduct, your grade could be reduced to A REFERRAL or at worst you could be expelled from the course

Student Declaration

I hereby, declare that I know what plagiarism entails, namely, to use another’s work and to present it as my own without attributing the sources in the correct way. I further understand what it means to copy another’s work.

1. I know that plagiarism is a punishable offence because it constitutes theft.
2. I understand the plagiarism and copying policy of the Edexcel UK.
3. I know what the consequences will be if I plagiaries or copy another’s work in any of the assignments for this program.
4. I declare therefore that all work presented by me for every aspects of my program, will be my own, and where I have made use of another’s work, I will attribute the source in the correct way.
5. I acknowledge that the attachment of this document signed or not, constitutes a binding agreement between myself and Edexcel UK.
6. I understand that my assignment will not be considered as submitted if this document is not attached to the attached.

Student’s Signature:                                                                                   Date:

(Provide E-mail ID)                                                                                 (Provide Submission Date)

Feedback Form

Assignment Brief

A farmer wants to make square shaped vegetable beds. The required squared area of vegetable beds will be prepared from a land which is 28 feet in length and 24 feet in width.

a)     Find the minimum number of squared vegetable beds that can be prepared from the land without wasting any area.

b)     Briefly explain the technique you used to solve (a).

2.      In a company, 5 employees are doing overtime work. First day of the month, all the 5 employees did overtime work. Afterwards, those 5 employees do the overtime work once in 3,4,6, 8 and 12 days respectively.

a)     On which day of the month, will all the 5 employees do the overtime work together?

b)     Briefly explain the technique you used to solve (a).

Part 2

3.      In a warehouse, boxes are stored such that 30 boxes on the bottom row and 21 on the top row. There are 10 rows in all, with each row having one more box than the one above it.

a)       How many boxes have been stored?

b)       Briefly explain the technique you used to solve (a).

4.      A businessman has done an investment of Rs.200,000.00 on a new business expecting a 5% interest compounded yearly.

a)       Find the total amount of money that the businessman would earn in 6 years.

b)       Briefly explain the technique you used to solve (a).

Part 3

1.      Define the multiplicative inverse in modular arithmetic and identify the multiplicative inverse of 7 mod 8 while explaining the algorithm used.

2.      Prime numbers are important to many fields. In the computing field also prime numbers are applied. Provide examples and in detail explain how prime numbers are important in the field of computing.

Activity 02

Part 1

1.     Define ‘Conditional Probability’ with a suitable example.

2.     An aesthetic club has 100 members. Out of them 40 do dancing, 45 do music and 24 do drama. 15 do both dancing and music, 11 do both dancing and drama and 13 do both music and drama and 5 do dancing, music and drama. Remaining members do arts. Let D represents the randomly selected member does dancing, M represents the randomly selected member does music, R represents the randomly selected member does drama. A represents the randomly selected member does arts.

Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions.

a)        Find the probability that a randomly selected member either does dancing or music.

b)       Find whether the events “The randomly selected member does drama” and “The randomly selected member does music” are independent or not.

3.     Suppose a survey was done in three states on the Covid-19 pandemic situation. Of the total population of the three states, 25% live in state X, 45% live in state Y, and 30% live in state Z. In state X, 20% of the citizens have been infected with Covid-19, in state B, 10% of the citizens have been infected with Covid-19, and in state C, 15% of the citizens have been infected with Covid-19.

Let X represents the event that the citizen is from state X, Y represents the event that the citizen is from state Y and Z represents the event that the citizen is from state Z. Let C represents the event that the citizen has been infected with Covid-19.

a)    Find the probability that a randomly selected citizen has not been infected with Covid-19 and lives in state X.

b)    Find the probability that a randomly selected citizen has been infected with Covid-19.

c)    Given that a randomly selected citizen has been infected with Covid-19, find the probability that the selected citizen is from state Y.

4.     In a game if the player wins, a random gift will be given. There are 3 types [Watch, Voucher, Pen Drive] of gifts for the winners. There are 7 Vouchers, 6 Watches and 5 Pen Drives. The number tags of the gifts are stored in a box.  If two players win the game and the number tags of the gifts are selected randomly without replacement.

a)          Find the probability that the both winners get a Voucher.

b)          Find the probability that one gift is a Watch and the other gift is a Pen Drive.

c)          Find the probability that the two winners get different gifts.

Part 2

5.     Differentiate between ‘Discrete Random Variable’ and ‘Continuous Random Variable”.

6.     There are two boxes. In each box there are 4 cards with a different number printed on it. The four cards have been numbered as 1,2,3,4 in each box. Two cards are drawn random from each box. The random variable X represents the difference between the number on the card from box 1 minus the number on the card from box 2.

a)     Find the mean of this probability distribution. (i.e. Find E[X] )

b)     Find the variance and standard deviation of this probability distribution.

(i.e. Find V[X] and SD[X])

The random variables M and W are defined as follows:

M = X+5 and W = (1/2)X+5

c)  Find E[M] and E[W].

d)  Find V[M] and V[W].

e)  Mary and William play a game using the cards in the above boxes. Randomly two cards are drawn, and Mary records his score using the random variable M and William uses the random variable W. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores.

7.     A discrete random variable Y has the following probability distribution.

where k is a constant.

a) Find the value of k.             

b) Find P(Y≤4).

c) Find P(Y>3).

Part 3

8.  The “Winkles” quiz team has a winning rate of 72%. The team is planning to participate in 8 quizzes in the next month.

a)  Let Y be the number of quizzes win by the team. What are the possible values of Y?

b) What is the probability that the team will win exactly 4 quizzes?

c)  What is the probability that the team will lose 2 or less quizzes?

d)  What is the mean number of quizzes that the team will win?

e)  What are the variance and the standard deviation of the number of quizzes that the team will win?

    9.   In a boys’ school, there are 40 students in grade 9. The weight of the students was measured. The mean weight of the students was 55 kg and the standard deviation was 2.5 kg. Peter’s weight was 64kg. Would his weight be considered an outlier, if the weight of the students were normally distributed? Explain your answer.

      10.  The working life of a certain electrical equipment is normally distributed with a mean of 180 days and a standard deviation of 4 days.

For each of the following questions, construct a normal distribution curve and provide the answer.

a)  About what percent of the products last between 176 and 184 days?

b)  About what percent of the products last between 180 and 184 days?

For each of the following questions, use the standard normal table and provide the answer.

c)  About what percent of the products last 172 or less days?

d)  About what percent of the products last 184 or more days?

    11.  In the computing field, there are many applications of Probability theories. Hashing and Load Balancing are also included to those. Provide an example for an application of Probability in Hashing and an example for an application of Probability in Load Balancing. Then, evaluate in detail how Probability is used for each application while assessing the importance of using Probability to those applications.

Activity 03

Part 1

1.     Find the equation (formula) of a circle with radius r and center C(h,k) and if the Center of a circle is at (7,-2) and a point on the circle is (-3,5) find the formula of the circle.

2.     Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that

x² + y² + z² – 14x + 6y – 2z – 3 = 0 is an equation of a sphere. Also, find its center and radius.

3.     Following figure shows a Parallelogram.

           If a=(2i–j+3k) , b=(3i+5j–k), find the area of the Parallelogram.

Part 2

4.     If 5x – 2y = 10, 4y = 3x + 36 are two functions. Evaluate the x, y values using graphical method.

5.    Evaluate the surfaces in ³ that are represented by the following equations.

                                                    i.     y = 2

                                                  ii.     z = 6

6.     Following figure shows a Tetrahedron.

Construct an equation to find the volume of the given Tetrahedron using vector methods and if the vectors of the Tetrahedron are a=(2i+j-3k), b=(-i+2j+4k) and c=(5i-7j+k), evaluate the volume of the Tetrahedron.

Activity 04

Part 1

1.     Determine the slope of the following functions.

                          i.     f(x) = 4x³ + 5x⁴ – 9x + 2

                        ii.     f(x) = sin(3x) – 5x³ – 7

2.     Let the velocity function of a moving object is V(t) = 7t³ + 5t² – 4t. What is the function for the acceleration of the object at time t.

Part 2

3.     Find the area between the two curves f(x) = 3x² – 4 and g(x) =  2x+5 on the interval

            (-1) ≤ x ≤ 1.

4.     It is estimated that t years from now the bee population of a certain farm will be increasing at the rate of 9t ² + 10t – 7 hundred bees per year. It has been found that the number of flowers in the nearby botanical garden increases at the rate of approximately 400 flowers per 10 bees. By how much will the number of flowers in the nearby botanical garden increase during the next 2 years?

Part 3

5.     Sketch the graph of f(x) = x³ – x⁴ + 6x² + 3 by applying differentiation methods for analyzing where the graph is increasing/decreasing, local maximum/minimum points [Using the second derivative test], concave up/down intervals with inflection points.

6.     Identify the maximum and minimum points of the function f(x)= −4x ² + 6x + 3 by further differentiation. [i.e Justify your answer using both first derivative test and second derivative test.

Grading Rubric

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ADDITIONAL INSTRUCTIONS FOR THE CLASS

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• Discussion Questions (DQ)

Initial responses to the DQ should address all components of the questions asked, including a minimum of one scholarly source, and be at least 250 words. Successful responses are substantive (i.e., add something new to the discussion, engage others in the discussion, well-developed idea) and include at least one scholarly source. One or two-sentence responses, simple statements of agreement or “good post,” and responses that are off-topic will not count as substantive. Substantive responses should be at least 150 words. I encourage you to incorporate the readings from the week (as applicable) into your responses.

• Weekly Participation

Your initial responses to the mandatory DQ do not count toward participation and are graded separately. In addition to the DQ responses, you must post at least one reply to peers (or me) on three separate days, for a total of three replies. Participation posts do not require a scholarly source/citation (unless you cite someone else’s work). Part of your weekly participation includes viewing the weekly announcement and attesting to watching it in the comments. These announcements are made to ensure you understand everything that is due during the week. do my math homework

• APA Format and Writing Quality

Familiarize yourself with the APA format and practice using it correctly. It is used for most writing assignments for your degree. Visit the Writing Center in the Student Success Center, under the Resources tab in Loud-cloud for APA paper templates, citation examples, tips, etc. Points will be deducted for poor use of APA format or absence of APA format (if required). Cite all sources of information! When in doubt, cite the source. Paraphrasing also requires a citation. I highly recommend using the APA Publication Manual, 6th edition.

• Use of Direct Quotes

I discourage over-utilization of direct quotes in DQs and assignments at the Master’s level and deduct points accordingly. As Masters’ level students, it is important that you be able to critically analyze and interpret information from journal articles and other resources. Simply restating someone else’s words does not demonstrate an understanding of the content or critical analysis of the content. It is best to paraphrase content and cite your source.

• LopesWrite Policy

For assignments that need to be submitted to Lopes Write, please be sure you have received your report and Similarity Index (SI) percentage BEFORE you do a “final submit” to me. Once you have received your report, please review it. This report will show you grammatical, punctuation, and spelling errors that can easily be fixed. Take the extra few minutes to review instead of getting counted off for these mistakes. Review your similarities. Did you forget to cite something? Did you not paraphrase well enough? Is your paper made up of someone else’s thoughts more than your own? Visit the Writing Center in the Student Success Center, under the Resources tab in Loud-cloud for tips on improving your paper and SI score.

• Late Policy

The university’s policy on late assignments is a 10% penalty PER DAY LATE. This also applies to late DQ replies. Please communicate with me if you anticipate having to submit an assignment late. I am happy to be flexible, with advance notice. We may be able to work out an extension based on extenuating circumstances. If you do not communicate with me before submitting an assignment late, the GCU late policy will be in effect. I do not accept assignments that are two or more weeks late unless we have worked out an extension. As per policy, no assignments are accepted after the last day of class. Any assignment submitted after midnight on the last day of class will not be accepted for grading.

• Communication

Communication is so very important. There are multiple ways to communicate with me: Questions to Instructor Forum: This is a great place to ask course content or assignment questions. If you have a question, there is a good chance one of your peers does as well. This is a public forum for the class. Individual Forum: This is a private forum to ask me questions or send me messages. This will be checked at least once every 24 hours. Unit 14 : Maths for Computing

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