{"id":1759,"date":"2021-03-21T08:42:22","date_gmt":"2021-03-21T08:42:22","guid":{"rendered":"https:\/\/bcisnotes.com\/thirdsemester\/?p=1759"},"modified":"2021-03-21T08:43:04","modified_gmt":"2021-03-21T08:43:04","slug":"numerical-methods-fall-2017-pokhara-university","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-fall-2017-pokhara-university\/","title":{"rendered":"Numerical Methods || Fall 2017 || Pokhara University"},"content":{"rendered":"\n\n\n\n\n\n
Level:\u00a0 Bachelor<\/td>\nSemester \u2013 Fall<\/td>\n\u00a0Year: 2017<\/td>\n<\/tr>\n
Program: BCIS<\/td>\n\u00a0\u00a0Full Marks: 100<\/td>\n<\/tr>\n
Course: Numerical Methods<\/p>\n

 <\/td>\n

\u00a0 Pass Marks: 45<\/td>\n<\/tr>\n
\u00a0\u00a0Time:\u00a0 3hrs.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n
Candidates are required to give their answers in their own words as far as practicable.<\/em><\/td>\n<\/tr>\n
The figures in the margin indicate full marks.<\/em><\/td>\n<\/tr>\n
\n

<\/h2>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/td>\nSection “A”<\/p>\n

Very Short Answer Questions<\/strong><\/p>\n

Attempt all the questions.<\/td>\n

 <\/p>\n

 <\/p>\n

10\u00d72<\/td>\n<\/tr>\n

1.<\/td>\nDefine Numerical error with its type.<\/td>\n<\/td>\n<\/tr>\n
2.<\/td>\nWhat is the necessary condition for the solution of a system of linear equations and what are the possible solutions?<\/td>\n<\/td>\n<\/tr>\n
3.<\/td>\nDefine partial differential equations with examples.<\/td>\n<\/td>\n<\/tr>\n
4.<\/td>\nWhy Gauss-Seidel method is better than Jacobi\u2019s method?<\/td>\n<\/td>\n<\/tr>\n
5.<\/td>\nDifferentiate between the bracketing<\/strong> and non-bracketing<\/strong> method of finding the solution of the nonlinear equations with examples.<\/td>\n<\/td>\n<\/tr>\n
6.<\/td>\nDefine Interpolation<\/strong> and Regression<\/strong>.<\/td>\n<\/td>\n<\/tr>\n
7.<\/td>\nSolve the system of linear equations using the Matrix inverse<\/em><\/strong> method.<\/p>\n

2x+3y=7<\/p>\n

3x-y=5<\/td>\n

<\/td>\n<\/tr>\n
8.<\/td>\nFind f\u2019(1)<\/strong> with h = 0.25 for f(x)=exp(x) – cos(x)<\/strong> using central difference<\/em><\/strong> formula.<\/td>\n<\/td>\n<\/tr>\n
9.<\/td>\nState the formula of Simpson\u2019s 1\/3rd<\/sup><\/strong> rule?<\/td>\n<\/td>\n<\/tr>\n
10.<\/td>\nFind the normalized regression equation for the transcendental form<\/p>\n

y = AeBx<\/sup>.<\/strong><\/td>\n

<\/td>\n<\/tr>\n
<\/td>\nSection “B”<\/p>\n

Descriptive Answer Questions<\/strong><\/p>\n

Attempt any six<\/strong> questions<\/td>\n

6\u00d710<\/td>\n<\/tr>\n
11.<\/td>\nUsing the False Position<\/strong> method, find the fourth root of 19 correct up to three decimal places.<\/td>\n<\/td>\n<\/tr>\n
12.<\/td>\nDifferentiate between the Dollitle<\/strong> and Crout<\/strong> algorithm. Decompose the coefficient matrix into LU.<\/p>\n

 <\/p>\n

 <\/td>\n

<\/td>\n<\/tr>\n
13.<\/td>\nWith an experiment of Thermal science, we observed the following data<\/p>\n\n\n\n\n\n\n\n\n\n\n
Time,t(min)<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n<\/tr>\n
Temperature,T(0<\/sup>c)<\/td>\n70<\/td>\n83<\/td>\n100<\/td>\n124<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

If the relationship between the temperature (T) and time (t) is of the form T = Aet\/4 <\/sup>+ B. Estimate the temperature at t = 3.75min.<\/td>\n

<\/td>\n<\/tr>\n
14.<\/td>\nSolve the differential equation by using classical RK method<\/strong> for y(0.5) from , y(0) = 1 with h=0.25<\/td>\n<\/td>\n<\/tr>\n
15.<\/td>\nIntegrate \u00a0by using (n =4)<\/p>\n

i) Trapezoidal rule<\/strong><\/p>\n

ii) Simpson’s 1\/3 rule<\/strong><\/td>\n

<\/td>\n<\/tr>\n
16.<\/td>\nFind the largest eigenvalue and the corresponding eigenvector of the Matrix using the power method.<\/p>\n

 <\/td>\n

<\/td>\n<\/tr>\n
17.<\/td>\nIn a square bar with a dimension of 3 inches \u00b4 3 inches, torsion function, Tian is obtained from the\u00a0 following P.D.E<\/em><\/strong>:<\/p>\n

, where T = 0 on the outer boundary of the bar’s cross-section. Subdivide the region into nine equal squares to form a mesh and find the values of\u00a0 T in the interior nodes<\/td>\n

<\/td>\n<\/tr>\n
18.<\/td>\nSection “C”<\/p>\n

Case Analysis<\/strong><\/p>\n

A body of mass 2 kg is attached to a spring with a spring constant of 10. The differential equation governing the displacement of the body y and time t is given by<\/p>\n

 <\/p>\n

Find the displacement y at time t = 0.2, given that\u00a0 y (0) = 0, y\u2019(0) = 1. Use RK-2<\/strong>method.<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/td>\n

\u00a0 10<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/td>\n<\/tr>\n

19.<\/td>\nA company produces three different products. They are processed through three different departments D1, D2, and D3. The table below gives the number of hours that each department spends on each product.<\/p>\n\n\n\n\n\n\n\n
Department<\/strong><\/td>\nProducts<\/strong><\/td>\n<\/tr>\n
P1<\/td>\nP2<\/td>\nP3<\/td>\n<\/tr>\n
D1<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n<\/tr>\n
D2<\/td>\n2<\/td>\n3<\/td>\n2<\/td>\n<\/tr>\n
D3<\/td>\n3<\/td>\n2<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Total Production hours available each month in each department is as follows:<\/p>\n\n\n\n\n
Department<\/strong><\/td>\nD1<\/td>\nD2<\/td>\nD3<\/td>\n<\/tr>\n
Hours<\/strong><\/td>\n140<\/td>\n140<\/td>\n100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Formulate the appropriate system of linear equations to determine the quantities of the three products that can be produced in each month, so that all the hours available in all departments are fully utilized.<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Determine how much time each department spends on each product.<\/td>\n

10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

You may also like:<\/strong> Computer Architecture and Microprocessors || Fall 2017 || Pokhara University<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Level:\u00a0 Bachelor Semester \u2013 Fall \u00a0Year: 2017 Program: BCIS \u00a0\u00a0Full Marks: 100 Course: Numerical Methods   \u00a0 Pass Marks: 45 \u00a0\u00a0Time:\u00a0 3hrs.   Candidates are […]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"yoast_head":"\nNumerical Methods || Fall 2017 || Pokhara University<\/title>\n<meta name=\"description\" content=\"Level:\u00a0 Bachelor Semester \u2013 Fall Year: 2017Program: BCIS Full Marks: 100Course: Numerical Methods Pass Marks: 45\u00a0Time:\u00a0 3hrs.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-fall-2017-pokhara-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" 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