Instructions: 1. Attempt all questions. 2. Make suitable assumptions wherever necessary. 3. Figures to the right indicate full marks.
Q.1
Q.2
(a) Explain Gauss Seidel method for solution of linear simultaneous equations and give its algorithm. (b) Solve following systems using any of the methods used for solution of linear simultaneous equations. x + 2y + z = 8 2x + 3y + 4z = 20 4x + 3y + 2z = 16 (a) List various methods for interpolation & extrapolation of values. Explain any one method, which is used for unevenly spaced interval. (b) Following table gives the vales of x and log10x, determine log10303. 300 304 305 307 x 2.4829 2.4843 2.4871 log10x 2.4771
06 08
07 07
OR (b) Find Newtons central difference interpolating polynomial for the data given 07 below and evaluate f(0.35). x 0.1 0.2 0.3 0.4 0.5 1.57 1.78 2.05 2.28 y=f(x) 1.45 Q.3
(a) Write steps to determine the roots of algebraic and transcendental equations 07 by Newton Raphson’s method. (b) Determine one of the roots of the equation xlog10x-4.77 = 0 to three decimal 07 places using Newton Raphson’s method.
Q.3
Q.4
OR (a) Derive basic expressions for bending moment, deflection and rotation in a beam using finite difference method. (b) Using the finite difference method, compute the deflection and rotation at L/4 interval of a simply supported beam subjected to point load of W at the mid span. Take EI constant. (a) Explain the use of Eigen value problem in Structural Engineering. Give basic steps for solution of eigen value problem. (b) Determine the largest eigen value and corresponding eigenvector of the matrix ⎡ 4 1 − 1⎤ A = ⎢⎢ 2 3 − 1⎥⎥ ⎢⎣− 2 1 5 ⎥⎦
07 07
07 07
OR
Q.4
Find all the eigen values and corresponding eigen vectors of the following 14 matrix using Jacobi’s method. 1
⎡2 3 1 ⎤ A = ⎢⎢3 2 2⎥⎥ ⎢⎣1 2 1⎥⎦ Q.5
(a) Find dy/dx and d2y/dx2 at 2.2 for the different value of x & y tabulated as 07 given below: x 1.4 1.6 1.8 2.0 2.0 y 4.0552 4.953 6.0496 7.3891 9.025 (b) Evaluate following integral I using Gaussian 2-point and 3-point formula. 1 1 I=∫ dx 2 −1 1 + x
Q.5
07
OR (a) Evaluate following integral I taking four equal interval using Simpson’s one 06 third rule. 1 1 I=∫ dx 2 −1 1 + x (b) Solve following ordinary differential equation using Runge-Kutta method of 08 fourth order in the interval of 0 ≤ x ≤ 0.4, taking h=0.1 dy 10 = x 2 + y 2 , y ( 0) = 1 dx
Subject Code: 712006. Date: 06/01/2014 ... 06. (b) Solve following systems using any of the methods used for solution of linear simultaneous equations. x + 2y + z = 8. 2x + 3y + 4z = 20. 4x + 3y + 2z = 16. 08. Q.2 (a) List various ... (b) Following table gives the vales of x and log10x, determine log10303. x. 300. 304. 305. 307.
Understand use of Design Data Book to design Machine Tool Drives, Bearings & Material. Handling Equipments. 2. Understand Design Of Machine Tool Structure. 3. Evaluate Product Design Concept. List of Experiments: Tutorials based on above syllabus. Li
the degree for which the report is submitted;. ⢠the name of ... Appendices (List of abbreviation, etc.) and other ... Submit to: Ms. Kinjal Joshi / Ms. Vaishakhi Shah.
Feb 13, 2014 - Subject: Online viewing of evaluated answer script. All the concerned ... E semester 7 and 1 (new course), M.E., MPharm, MCA, MBA for Winter.
Aug 17, 2013 - public domain. NOTES for PATENT SEARCH: The detailed material for self study is being made available through. 'you tube' channel of GTU ...
(b) For Supplier â Parts database. Supplier(S#,sname,status,city). Parts(P#,pname,color,weight,city). SP(S#,P#,quantity). Answer the following queries in SQL. 1.
Dec 16, 2011 - (II) Android 1.5 SDK its codenames is Cupcake. (III) setOrientation()method is used to set orientation of Screen. Layout. (IV) If you want to use ...
Aug 17, 2013 - yet to register or wish to edit team profile in phase-1, can still do so at ... made public in the public domain at the GTU website. THE THIRD ...
Dec 16, 2011 - (II) Android 1.5 SDK its codenames is Cupcake. (III) setOrientation()method is used to set orientation of Screen. Layout. (IV) If you want to use ...
Therefore, an object that will float in oil will. (a) float in water, with more of the object submerged. (b) float in water, with the same amount of the object submerged. (c) float in water, with less of the object submerged. ... What are the differe
Feb 16, 2013 - printout of online application format along with all the requisite .... Computer Courses (DOEACC) society or of the level as may be prescribed by ..... Degree in Computer Science i.e. B.E. Computer from Statutory University. Or.
______ lion had a long tail. (a/the). (b) Choose appropriate option for the following questions/statements. 07. 1. We use this type of language when speaking to a friend. a. Formal b. Informal c. Friendly. 2. Which phrase is correct? a. He's working
I'm a clerk. c. How do you do? 7. Which signature is the most formal? a. Love, b. Yours faithfully, c. Best wishes. OR. Q.1 (a) Fill in the following blanks with the appropriate alternative. 07. 1. Let the flowers ... Q.5 (a) As a student career deve
Feb 16, 2013 - required to qualify a skill test in handling Computers within one year from ..... Degree in Computer Science i.e. B.E. Computer from Statutory ...
May 19, 2011 - components? 07. OR. Q.5 (a) What is Struts? How is the MVC design pattern used in Struts framework? 07. (b) What is ActionForm in the struts?
Your aim is to also become a âchampion of sustainable developmentâ. What would you ... As team members expect this from a leader like him. ... Surabhiâs chemistry teacher was about to announce the partners with whom each student would.
Oct 3, 2012 - 1,2 & 3 are initially made for the period of one year. ... objective of the University is to develop the knowledge of science, engineering, technology, ..... application equivalent to course-on computer concepts (CCC/CCC+) of ... the ca
... OF EVALUATION: A Viva-Voce examination will be conducted at the end of the ... Please make proper arrangements so that all the examinations start in-time.
literature, and scientific journals and databases. .... Here patent search is further limited by searching it in the database of particular country, .... Object of invention. â Summery of Invention. â Detailed description. â Claims. â Figures
5. a) Define i)cycle, ii) circuit and iii) path. b) What is the chromatic number of i) Tree ii) wheel graph iii) complete graph Kn and · iv) complete bipartite graph Km, ...
Ae · Ï · Ï · â · = · where' A' and 'a' are real positive constants is · applied to the input of an LTI system with h(t)= · where b is real positive · constant. Find the PSD ...