Task(s) Solving assignment questions with the acquired knowledge from class room lecture hours, tutorial hours and by referring CCE learn postings, indicative reading and e-brary resources individually. Marking scheme Component Description Weightage (%) 30% 3 Knowledge and understanding of the topic Application and analysis of the topic (Module specific skill) Coherence and structure in terms of logic 4 Extended reading 10% 1 2 Total 35% 25% 100 Instructions 1. Plagiarism is a serious offence. In case of any plagiarism detected, penalty will be imposed leading to zero mark. Policy and guidelines for dealing with plagiarism and malpractice in examination can be viewed by clicking: http://portal.cce.edu.om/member/contentdetails.aspx?id=490 2. The course work shall be subject to plagiarism software check. 3. Course work should be submitted on time. College guidelines on late submission of coursework can be viewed by clicking: http://portal.cce.edu.om/member/contentdetails.aspx?id=565 4. Course work should be submitted with an appropriate cover page, which can be obtained from the departmental assistant at the department. 5. Name, student identification and title of the course work to be written clearly and legibly on the cover page. 6. The completed course work is to be submitted to the departmental assistant on or before the deadline and record your name, date of submission and signature in the book with the departmental assistant. 7. For online submission of course work, pdf file with appropriate cover page mentioning name of student, student number and title of the course work should be uploaded using the submission link created and made available by the module leader. Referencing Harvard Referencing (CCE Style) First Edition 2013 should be followed for both in-text and listing references. This downloadable document can be found in our CCE portal at: http://portal.cce.edu.om/member/contentdetails.aspx?cid=628 Name and Signature of Module leader Dr. Ahmed Ibrahim Date:9/7/2018 Note: In questions 3,4, 5, 6, 7, 8 and 9 the letter p is the last nonzero digit of your student ID. 1. A manufacturer wants to determine whether the diameter of the steel rings satisfactory requirement. [15] The particular ring will be considered satisfactory if the true diameter is greater than 20 cm. A field experiment was conducted in which 10 rings were tested at almost identical conditions and the mean diameters of the steel rings were computed for each. The results (in cm) were as follows: 23, 18, 22.1, 19.1, 19.05, 22.1, 18.2, 18.05, 23.9, and 21.9 Based on the data, is there sufficient evidence for the manufacturer to decide that the rings are satisfactory? The manufacturer is prepared to run a risk of type I error of 0.05. It may be assumed that the diameter of the steel rings is normally distributed. 2. A city installs 10,000 electric lamps for street lighting. The lamps come from a different manufacturer and have a mean burning life of 2031 hours. We know from past experience that the distribution of burning lives approximates a normal distribution. The 1003th lamp fails before 1800 hours. Approximately what is the standard deviation of burning lives for this set of lamps? [10] 3. Evaluate the integral ∫ [10] , when is the circle . https://ebookcentral.proquest.com/lib/caledonianebooks/reader.action?docI D=437717&query=# 4. Use the partial fraction method to determine the inverse -transform for ( ) ( )( [15] ) http://ebookcentral.proquest.com/lib/caledonianebooks/reader.action?docID =3011187&ppg=408 5. Verify the divergence theorem for the vector field ⃗⃗ ⃗ over the volume bounded by the paraboloid plane . [15] and the 6. Verify Stokes theorem for the vector field ⃗ over the upper half surface of projection on the x y-plane. ( ) bounded by its ⃗ [10] https://ebookcentral.proquest.com/lib/caledonianebooks/reader.action?docID=437717 7. Find the Fourier transforms of : [10] ( ) { 8. I. II. Prove that ( ⃗ ⃗) ⃗ and ⃗ If ⃗ Find the value of (⃗ ⃗ )at ( [15] . ⃗ )
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