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Noun (National open university) Live 2019 POP Exam questions
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[QUOTE="Bracet, post: 3965, member: 477"] NATIONAL OPEN UNIVERSITY OF NIGERIA Plot 91, Cadastral Zone, Nnamdi Azikiwe Expressway, Jabi, Abuja. FACULTY OF SCIENCES April /May Examination 2019 Course Code: MTH309 Course Title: Optimization Theory Credit Unit: 3 Time Allowed: 3 HOURS Total: 70 Marks Instruction: ATTEMPT NUMBER ONE (1) AND ANY OTHER FOUR (4) QUESTIONS 1. (a) Define Optimization Problem in or simply an Optimization Problem (2 marks) (b) Distinguish between; (i) Unconstrained Optimization Problem and (2.5 marks) (ii) Constrained Optimization Problem (2.5 marks) (c) Differentiate between; (i) A solution to the problem * ( )| + (2 marks) (ii) A solution to the problem * ( )| + (2 marks) (d). Use the Simplex method to solve the following linear programming problem; Maximize Subject to; (11 marks) 2. (a) Define the dual Problem, if we let the primal problem be as stated below; (5 marks) Maximize Subject to; . . . (b) Write the dual of the following primal LP problem Maximize Subject to; (7 marks) 3. Solve the following linear programming problem Minimize Subject to; (12 marks) 4. (a) Use penalty method to solve the following problem; Maximize Subject to; (6 marks) (b) Use two-phase simplex method to solve; Maximize Subject to; (6 marks) 5. Find the dual of the following Linear programming problem; Maximize Subject to; (12 marks) 6. Solve the following minimization problem; Minimize Subject to; (12 marks) [B][IMG]file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image001.png[/IMG][/B] [B]NATIONAL OPEN UNIVERSITY OF NIGERIA[/B] [B]PLOT 91, CADASTRAL ZONE, NNAMDI AZIKIWE EXPRESSWAY, JABI - ABUJA[/B] [B]FACULTY OF SCIENCES[/B] [B]DEPARTMENT OF PURE AND APPLIED SCIENCE[/B] [B] APRIL/MY, [/B][B]2019 EXAMINATIONS[/B] [B]COURSE CODE: PHY 361[/B] [B]COURSE TITLE: GEOPHYSICS II[/B] [B]CREDIT UNIT 2[/B] [B]TIME ALLOWED ([/B][B]2[/B][B] HRS)[/B] [B]INSTRUCTION: [/B][B][I]Answer question One (1) and any other three(3)questions[/I][/B] [B]QUESTION 1[/B] [B]a.[/B]Explain the following terminologies: (i) Reflection survey (3 Marks) (ii) Positioning shots (3 Marks) (iii) Centre shot (3 Marks) (iv) Time–distance plots (3 Marks) (v) Principal refractors (2 Marks) [B]b.[/B]discus the basic concept of seismic reflection (3 marks) [B]c.[/B]define seismic wave and differentiate between two broad types of seismic waves. (4marks) [B]d.[/B] state the area of application of seismic reflection (4 marks) [B]QUESTION 2[/B] a. Briefly describe p and surface waves with relevant equations (7 marks) b. State four (4) types of interaction between waves and subsurface geology (8 marks) [B]QUESTION 3[/B] a. State the mathematical assumptions of predictive deconvolution (6 Marks) [h=2]b. Enumerate and explain types of deconvolution (9 Marks)[/h] [B]QUESTION 4[/B] a. List five (5) types of seismic sources. (5 marks) b.Describe briefly, three (3) seismic sources (6 marks) c. Enumerate two types method of acquisition of surface wave data. (4 marks) [B]QUESTION 5[/B] a. Briefly describe the basic theory of Electrical resistivity. (7.5 Marks) b. State five (5) areas of application of this method. (7.5 Marks) [/QUOTE]
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