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Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
MEC_AMO_TEM_034_01 Page 1 of 8
Instructions to Student
 Answer all questions.
 Deadline of submission: 3
rd/Sep/2020 at 23:59.
 The marks received on the assignment will be scaled down to the actual weightage
of the assignment which is 60 marks
 Formative feedback on the complete assignment draft will be provided if the draft is
submitted at least 10 days before the final submission date.
 Feedback after final evaluation will be provided within two weeks as per MEC
practice.
Module Learning Outcomes
The following LOs are achieved by the student by completing the assignment successfully

  1. Sketch exponential and logarithmic functions and solve exponential and logarithmic
    equations
  2. Calculate probability and basic statistical measures
    Assignment Objective
    The assignment is to check if the students understand the topics in how to sketch exponential function,
    low of logarthmic, solve exponential and logarithmic equations, Calculate probability and basic statistical
    measures. Also to check that the students be able to understand application of the above concepts using
    real life problems.
    IN SEMESTER (INDIVIDUAL) ASSIGNMENT
    Module Code: FNDM AM2.1 Module Name: Applied Mathematics
    Level: 0 Max. Marks: 100
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 2 of 8
    Assignment Tasks
  3. Identify 20 students as your sample. From each of the identified student, get information
    about gander of student and how much do student spend (in OR) for Internet per month.
    You can use any online survey tools (for example survey monkey or google forms).
    a. Give the link of online survey and summaries the data in a table. (5 marks)
    b. If a student selected at random, find the probability that:
    i. Selected student is female and spends 0 OR per month. (2 marks)
    ii. Selected student is female or spends more than 10 OR per month. (5 marks)
    iii. Selected student is male spends more than 5 OR per month or female spends 10
    OR per month. (5 marks)
  4. Based on your collected data from question 1:
    a. fill the following table and then answer the questions below. (5 marks)
    how much do student spend (in OR) for
    Internet per month.
    Number of students
    Less than or equal 5
    More than 5 and less than or equal 10
    More than 10 and less than or equal 15
    More than 15 and less than or equal 20
    More than 20
    b. Draw bar chart (show elements of chart) and write a comment. (6 marks)
    c. Draw pie chart (show all steps and elements of chart). (10 marks)
  5. During different times of a day find the temperature in your place (you can use weather
    application to get data).
    a. Fill the following table: (2 marks)
    b. Calculate all central tendency measurements of the temperature. (10 marks)
    c. Calculate standard deviation of the temperature. (10 marks)
    Date of day: …………….
    Time At 1:00 am At 5:00 am At 9:00 am At 1:00 pm At 5:00 pm At 9:00 pm
    Temperature
    ℃
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 3 of 8
  6. A principal of 250 OR is deposited in an account that pays 0.064 interest compounded
    yearly. Account balance function in response of time (years)is 𝑓(𝑥) = 𝑃(1 + 𝑟)
    𝑥
    P: initial value
    r: interest compounded yearly
    x: time in year
    a. Find the account balance after 5 years. (5 marks)
    b. By graphing show if the Account balance function is increasing or decreasing.
    (11 marks)
    c. After how many years the account balance will be 12000 OR. (5 marks)
  7. Fill the blanks: (show all steps)
    a. Write the logarithmic equation (𝒂 + 𝟒) =
    𝟏
    𝟐
    (𝐥𝐨𝐠 𝟏𝟖𝒃
    𝟑 − 𝐥𝐨𝐠(𝒍𝒏 𝒆
    𝟐𝒃)) in logarithmic
    form……………. (6 marks)
    b. The Range of recorded covid-19 cases during Z week in Oman is …… (6 marks)
    Hint: Week zero starts from 1 /March /2020 and Z is the last digit in your ID.
    c. The solution of the logarithmic equation 𝐥𝐨𝐠𝟖(𝐥𝐨𝐠( 𝐥𝐨𝐠𝟐 𝒙
    𝟓𝟎)) =
    𝟏
    𝟑
    is…… (7 marks)
    Guidelines:
    Submit this assignment on or before 3rd/Sep/2020 at 23:59 which must include:
     All solution steps.
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 4 of 8
     The solution must be submitted in a word file through the link available in Moodle.
     For the sketches/diagrams/drawing if need you should insert them in same word file with
    solution and also you can use word file tools or Excel .
     The final assignment must have a Title page and page numbers.
     Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of
    the faculty.
     Softcopy in word format is to be submitted through Turnitin link on Moodle.
     Assignment must be computer typed.
     Font – Times New Roman
     Font – Style – Regular
     Font – Size – 12
     Heading should be with Font Size 14, Bold, Capital and Underline.
     Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable
    software or by pencil and insert the draw with solution.
     Each student has to do the assignment individually.
     The assignment answers should be in your own words.
    Important Policies to be followed
  8. Student Academic Integrity Policy*:
    MEC upholds the spirit of academic integrity in all forms of academic work and any form of violation
    of academic integrity shall invite severe penalty. Any benefit obtained by indulging in the act of
    violation of academic integrity shall be cancelled.
    All cases of violation of academic integrity on the part of the student shall fall under any of the below
    mentioned categories:
  9. Plagiarism
  10. Malpractice
  11. Ghost Writing
  12. Collusion
  13. Other cases
    If the student fails a module and has a proven case of academic integrity violation in this module, the
    student is required to re-register the module. This is applicable to first and second offenders of
    plagiarism.
  14. Plagiarism
    A. First offence of plagiarism
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 5 of 8
    I. If a student is caught first time in an act of plagiarism during his/her course of study in
    any assignment other than project work, the student will be allowed to re-submit the
    assignment once, within a maximum period of one week. However, a penalty of
    deduction of 25% of the marks obtained for the resubmitted work will be imposed.
    II. Period of re-submission: The student will have to re-submit the work one week from the
    date he or she is advised to re-submit.
    III. If the re-submitted work is also found to be plagiarized, then that assessment will be
    awarded a zero mark. Re-submission of the work beyond the maximum period of one
    week will not be accepted and the assessment will be awarded a zero mark.
    B. Second offence of plagiarism
    If any student is caught second time in an act of plagiarism during his/her course of study (in a
    subsequent semester), the student will directly be awarded zero for the work in which plagiarism
    is detected. In such cases, the student will not be allowed to resubmit the work. A warning of
    suspension shall be issued, and student has to sign an undertaking and undergo counselling
    session in such cases.
  15. Malpractice/Ghostwriting/Collusion
    A. First offence of Malpractice/Ghostwriting/Collusion
    If a student is caught in an act of Malpractice/Ghostwriting/Collusion for an assessment
    component irrespective of coursework or end semester, the student shall fail the module
    and shall be required to re-register the module
    B. Second Offence of Malpractice/Ghostwriting/Collusion
    If a student is caught a second time in an act of Malpractice/Ghostwriting/Collusion for
    an assessment component irrespective of coursework or end semester, the student
    shall fail the module. A warning of suspension shall be issued, and student has to sign
    an undertaking and undergo counselling session in such cases.
  16. Third Offence of Academic Integrity Violation
    If a student is caught a third time in an act of Academic Integrity Violation for an assessment
    component irrespective of coursework or end semester (in a subsequent semester), the student
    shall fail the module and also shall be suspended for one semester from the College, as
    recommended by institutional level academic committee, Chaired by the Associate Dean, Academic
    Affairs.
  17. Fourth Offence of Academic Integrity Violation:
    If a student is caught a fourth time in an act of Academic Integrity Violation for an assessment
    component irrespective of coursework or end semester (in a subsequent semester), the student shall
    fail the module and also shall be expelled from the College, as recommended by institutional level
    academic committee, Chaired by the Associate Dean, Academic Affairs.
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 6 of 8
  18. Other cases
    If a student commits an act of academic integrity violation as per the definition of “other cases”
    mentioned in the previous section or of a different nature, student’s case shall be forwarded to an
    institutional level academic committee, Chaired by the Associate Dean, Academic Affairs. The
    committee shall investigate the case by means of a viva and/or a disciplinary hearing and shall take
    appropriate decision. The penalty that can be granted to a proven case of academic integrity violation
    which falls in this category of “other cases” can be a warning/component zero/ module
    fail/suspension/expulsion depending on the nature and gravity of the offence.
  19. Types/Variations of Cases:
    I. If plagiarism is detected in any component of one assessment, the deduction in marks will be
    applicable for the whole assessment, even if only the component or part submission alone needs
    to be resubmitted.
    II. If plagiarism is detected in a group assessment, all students of the group will be considered as
    having committed an act of plagiarism and the policy will then be applied to all students
    III. If plagiarism is detected in any component of a group assessment, the deduction in marks will be
    applicable for the whole assessment even if only the component or part submission alone needs
    to be resubmitted.
    All students of the group would be considered as having committed an act of plagiarism and the
    policy will then be applied to all the students of the group.
    IV. If the assessment consists of components or part submissions that could be a group assessment
    component (e.g. group assignment) and an individual assessment component (e.g. individual
    reflection), the following will be applicable:
    a. If plagiarism is detected in the group assessment component, all students of the group
    will be considered as having committed an act of plagiarism, The policy will then be
    applied to all students of the group. Group assessment component will be resubmitted
    as per the policy.
    b. If plagiarism is detected in the individual assessment component, the individual
    assessment component will be resubmitted and the policy will then be applied to that
    student alone.
    c. For both (a) and/or (b), the deduction in marks will be applicable for the whole
    assessment.
  • for further details Refer to MEC Student Academic Integrity Policy in Student Handbook.
  1. Late Submission Regulations:
    It is the students’ responsibility to check all relevant timelines related to assessments.
    As per the Assessment Policy at MEC, late submissions are allowed for one week (5 working days)
    for all GFP modules with a penalty. In such cases, a deduction of 5% of the marks obtained for the
    submitted work shall be imposed for each working day following the last date of submission till
    the date of actual submission. Assessment documents submitted beyond a period of one week
    Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
    MEC_AMO_TEM_034_01 Page 7 of 8
    (5 working days) after the last date of submission will not be accepted and will be awarded a zero
    for that assessment. In cases where the submission has been delayed due to extenuating
    circumstances, the student may be permitted to submit the work without imposing the late
    submission policy stated above. The extended period of submission will be one week from the
    original last date of submission. In such cases, the student is expected to submit the supporting
    certificates on or before the original last date of submission of the assessment and the decision
    of extension rests with faculty responsible for the assessment .The late submission policy shall be
    applied if the student fails to submit the work within one week of the original last date of
    submission.
    Students may contact their teachers for clarification on specific details of the submission time if
    required.
  2. Research Ethics and Biosafety Policy
    To protect and respect the rights, dignity, health, safety, and privacy of research subjects involved
    including the welfare of animals and the integrity of environment, all student projects are
    expected to be undertaken as per the MEC Research Ethics and Biosafety Policy. Accordingly the
    following shall apply.
     Research and other enterprise activities shall be conducted by maintaining the high ethical
    standards consistent with national and international standards and conventions.
     Any research at MEC that is categorized as high-risk research shall be subject to review and
    approval by the Research Ethics and Biosafety Committee.
     Research activities involving collection of human or animal tissues and manipulation of microbial,
    animal or plant cells shall be subject to review and approval by the Research Ethics and Biosafety
    Committee.
     Participants involved in research must be informed about the purpose of research and intended
    uses of research findings. Written consent must be obtained from people involved prior to the
    commencement of research.
     Data obtained from participants must be treated with high confidence and should be used only
    for the intended purpose of research.

Sample Solution

ohn Wayne Gacy’s set of experiences of sexual and psychological mistreatment was instrumental in arousing examiner’s curiosity of him as a suspect. John Wayne Gacy was brought into the world on March 17, 1942, in Chicago, Illinois. Being the main child out of three kids, Gacy had a stressed relationship with his dad, who drank vigorously and was frequently injurious towards the whole family (Sullivan and Maiken 48). In 1949, a temporary worker, who was a family companion, would pet Gacy during rides in his truck; be that as it may, Gacy never uncovered these experiences to his folks because of a paranoid fear of revenge from his dad (Foreman 54). His dad’s mental maltreatment proceeded into his young grown-up years, and Gacy moved to Las Vegas where he worked quickly in the rescue vehicle administration prior to turning into a funeral home specialist (Sullivan and Maiken 50). As a morgue specialist, Gacy was vigorously associated with the treating cycle and conceded that one night, he moved into the casket of a perished high school kid and touched the body (Cahill and Ewing 46). Stunned at himself, Gacy re-visitations of Chicago to live with his family and graduates from Northwestern Business College in 1963, and acknowledges an administration learner position with Nunn-Bush Shoe Company. In 1964, Gacy is moved to Springfield and meets his future spouse, Marlynn Myers. In Springfield, Gacy has his subsequent gay experience when a colleague unsteadily performed oral sex on him (London 11:7). Gacy moves to Waterloo, Iowa, and starts a family with Myers. Nonetheless, after routinely undermining his significant other with whores, Gacy submits his previously known rape in 1967 upon Donald Vorhees. In the coming months, Gacy explicitly mishandles a few different young people and is captured and accused of oral homosexuality (Sullivan and Maiken 60). On December 3, 1968, Gacy is indicted and condemned to ten years at the Anamosa State Penitentiary. Gacy turns into a model detainee at Anamosa and is conceded parole in June of 1970, an only a short time after his condemning. He had to move to Chicago and live with his mom and notice a 10:00PM time limitation. Not exactly a year later, Gacy is accused again of explicitly attacking a young kid however the adolescent didn’t show up in court, so the charges were dropped. Gacy was known by numerous individuals in his locale to be a devoted volunteer and being dynamic in network legislative issues. His part as “Pogo the Clown” the comedian started in 1975 when Gacy joined a neighborhood “Sprightly Joker” jokester club that routinely performed at raising money occasions. On January 3, 1972, Gacy submits his first homicide of Timothy McCoy, a 16-year old kid heading out from Michigan to Omaha. Asserting that McCoy went into his room employing a kitchen blade, Gacy gets into an actual quarrel with McCoy prior to cutting him more than once in the chest. In the wake of understanding that McCoy had absentmindedly strolled into the live with the blade while attempting to get ready breakfast, Gacy covers the body in his creep space. Gacy conceded in the meetings following his capture that executing McCoy gave him a “mind-desensitizing climax”, expressing that this homicide was the point at which he “understood passing was a definitive rush” (Cahill and Ewing 349). Just about 2 years after the fact, Gacy submits his second homicide of a unidentified youngster. Gacy choked the kid prior to stuffing the body in his wardrobe prior to covering him (Cahill 349). In 1975, Gacy’s business was developing rapidly and his hunger for youngsters developed with it. Gacy regularly tricked youngsters under his work to his home, persuading them to place themselves in cuffs, and assaulting and tormenting them prior to choking them (Cahill 169-170). The greater part of Gacy’s killings occurred somewhere in the range of 1976 and 1978, the first of this time occurring in April 1976. A significant number of the adolescents that were killed during this time were covered in a creep space under Gacy’s home. For the rest of the killings, Gacy confessed to losing five bodies the I-55 scaffold into the Des Plaines River; nonetheless, just four of the bodies were ever recuperated (Linedecker 152). In December 1978, Gacy meets Robert Jerome Piest, a 15-year old kid working at a drug store and extends to him an employment opportunity at Gacy’s firm. Piest advises his mom regarding this and neglects to restore that night. The Piest family documents a missing individual’s report and the drug specialist educates police that Gacy would undoubtedly be the man that Jerome addressed about a work. When addressed by the police, Gacy denied any association in Piest’s vanishing. Notwithstanding, the police were not persuaded, and Gacy’s set of experiences of sexual maltreatment and battery incited the police to look through his home. Among the things found at Gacy’s home were a 1975 secondary school class ring with the initials J.A.S., various driver’s licenses, binds, attire that was excessively little for Gacy, and a receipt for the drug store that Piest had worked at. Throughout the following not many days, specialists got different calls and tips about Gacy’s rapes and the secretive vanishings of Gacy’s representatives. The class ring was in the end followed back to John A. Szyc, one of Gacy’s casualties in 1977. Futhermore, after inspecting Gacy’s vehicle, specialists found a little bunch of strands looking like human hair, which were shipped off the labs for additional examination. That very night, search canines were utilized to distinguish any hint of Piest in Gacy’s vehicle, and one of the canines showed that Piest had, truth be told, been available in the vehicle. On December 20, 1977, under the pressure of consistent police reconnaissance and examination, Gacy admits to more than 30 homicides and advises his legal counselor and companion where the bodies were covered, both in the slither space and the stream. 26 casualties were found in the creep space and 4 in the stream. Gacy is captured, indicted for 33 killings, and condemned to death by deadly infusion. He endeavored a craziness request yet was denied, and was executed on May 10, 1994. There were a few criminological pointers that agents used to attach Gacy to the homicides. A portion of these include fiber investigation, dental and radiology records, utilizing the deterioration cycle of the human body, and facial reproduction in recognizing the people in question. Agents discovered strands that looked like human hair in both Gacy’s vehicle and close to the creep space where the bodies were covered. Notwithstanding these hair tests, examiners likewise discovered filaments that contained hints of Gacy’s blood and semen in a similar region. Blood having a place with the casualties was found on a portion of the strands, which would later straightforwardly attach Gacy to the wrongdoings. The filaments in Gacy’s vehicle were dissected by scientific researchers and coordinated Piest’s hair tests. Besides, the pursuit canines that verified that Piest had been in Gacy’s vehicle demonstrated this by a “demise response”, which told examiners that Piest’s dead body had been within Gacy’s vehicle. Out of Gacy’s 33 known casualties, just 25 were ever definitively recognized. Huge numbers of Gacy’s casualties had comparable actual depictions and were thusly difficult to distinguish by absolutely asking people in general. To distinguish the people in question, examiners went to Betty Pat Gatliff, a pioneer in legal science and facial reproduction. Facial reproduction is the way toward reproducing the facial highlights of a person by utilizing their remaining parts. Certain facial highlights, for example, facial structures, nasal structure, and generally face shape can be helpful in distinguishing a casualty even long in the afterlife. By utilizing these highlights, and with the assistance of program, scientific specialists can make a picture of an individual’s face, which is instrumental in distinguishing casualties after their bodies have rotted. Facial reproduction should be possible in a few measurements. Two-dimensional facial recreations is utilized with skull radiographs and depend on pre-demise photos and data. In any case, this isn’t really ideal in light of the fact that cranial highlights are not generally obvious or at the correct scale (Downing). To get a practical and more exact portrayal of the casualty’s face, a craftsman and a scientific anthropologist are normally fundamental (Downing). Three-dimensional facial remaking is finished by models or high goal, three-dimensional pictures. PC programs can make facial reproductions by controlling filtered photos of the remaining parts and use approximations to reproduce facial highlights. These will in general create results that don’t look counterfeit (Reichs and Craig 491). Once in a while, specialists will utilize a strategy called superimposition as a procedure for facial reproduction. Sadly, it’s anything but a usually utilized technique, as it expects agents to have some information about the personality of the remaining parts they are managing. By superimposing a photo of a person over the skeletal remaining parts, agents can check whether the facial highlights line up with the anatomical highlights, permitting them to distinguish a casualty. On account of John Wayne Gacy’s casualties, specialists had the option to utilize facial reproduction to recognize nine of the bodies found in the creep space. The accompanying realistic shows the facial recreations of these nine casualties: Since facial reproduction was insufficient to distinguish the entirety of the people in question, specialists got DNA profiles from every one of the unidentified casualties and effectively searched out DNA tests from guys over the United States who had been accounted for missing somewhere in the range of 1970 and 1979 (Cook County Sheriff’s Office 3). The leftover casualties were recognized utilizing dental and radiology records. Since dental lacquer is more diligently than bone, teeth outlive tissue and now and again bone when the body deteriorates. Teeth are truly dependable in distinguishing casualties, as they will in general uncover propensities about the individual, for example, nail gnawing, crushing and weight propensities, lip gnawing, and grasping (Ryan 254). Moreover, the top of the mouth, which frames a curve, is special to every person fit as a fiddle, size, and form. Teeth additionally have singular attributes that are remarkable t>

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