{"id":1751,"date":"2021-03-21T08:14:01","date_gmt":"2021-03-21T08:14:01","guid":{"rendered":"https:\/\/bcisnotes.com\/thirdsemester\/?p=1751"},"modified":"2021-03-21T08:34:43","modified_gmt":"2021-03-21T08:34:43","slug":"numerical-methods-spring-2015-pokhara-university","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-spring-2015-pokhara-university\/","title":{"rendered":"Numerical Methods || Spring 2015 || Pokhara University"},"content":{"rendered":"\n\n\n\n\n\n
Level:\u00a0 Bachelor<\/td>\nSemester \u2013Spring<\/td>\nYear: 2015<\/td>\n<\/tr>\n
Program: BCIS<\/td>\nFull Marks: 100<\/td>\n<\/tr>\n
Course: Numerical Methods<\/td>\nPass Marks: 45<\/td>\n<\/tr>\n
Time:\u00a0 3hrs.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\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<\/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 absolute and relative error.<\/td>\n<\/td>\n<\/tr>\n
2.<\/td>\nFind the root interval of the equation x2 <\/sup>– 4x -10.<\/td>\n<\/td>\n<\/tr>\n
3.<\/td>\nState the iterative formula for the false position method to solve f(x)=0.<\/td>\n<\/td>\n<\/tr>\n
4.<\/td>\nWhat is the main difference between Gauss elimination and Gauss Jordan method?<\/td>\n<\/td>\n<\/tr>\n
5.<\/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
6.<\/td>\nWhat are the methods available for interpolations?<\/td>\n<\/td>\n<\/tr>\n
7.<\/td>\nWrite first-order forward difference formula.<\/td>\n<\/td>\n<\/tr>\n
8.<\/td>\nNumerical integration with a number of interval n=3 and n=6 which one is more accurate and why?<\/td>\n<\/td>\n<\/tr>\n
9.<\/td>\nFind the normalized regression equation for the transcendental form y=ABx<\/sup>.<\/td>\n<\/td>\n<\/tr>\n
10.<\/td>\nWhat are Poisson\u2019s Equations?<\/td>\n<\/td>\n<\/tr>\n
<\/td>\nSection “B”<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Descriptive Answer Questions<\/strong><\/p>\n

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

 <\/p>\n

 <\/p>\n

6\u00d710<\/td>\n<\/tr>\n

11.<\/td>\nUsing False Position<\/strong> method, solve the equation xtan(x) = -1<\/strong> starting with initial guess 2.5 and 3 correct up to 3- decimal places.<\/td>\n<\/td>\n<\/tr>\n
12.<\/td>\nSolve the following system of linear equations using the Gauss elimination method with partial pivoting.<\/strong><\/td>\n<\/td>\n<\/tr>\n
13.<\/td>\nGrowth of bacteria (N) in culture after t hrs. is given by<\/p>\n\n\n\n\n\n\n\n\n
Time (t)<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n<\/tr>\n
N<\/td>\n32<\/td>\n47<\/td>\n65<\/td>\n92<\/td>\n132<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Fit a curve of the form N= abt<\/sup> and estimate bacteria when t=5 hrs.<\/td>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/td>\n<\/tr>\n

14.<\/td>\nIntegrate the given integral.<\/p>\n

Using the Trapezoidal rule + Simpson\u2019s rule with n=4 and n=6, compare your result and comment on it.<\/td>\n

<\/td>\n<\/tr>\n
15.<\/td>\nSolve the equations y\u2019= \u00a0+ with x=0.25 and x=0.5 given that y(0)=1<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0 Using Eulers Method (h=0.25)<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 By using Runge\u00a0 Kutta method 4th<\/sup> order (h=0.25)<\/td>\n

<\/td>\n<\/tr>\n
16.<\/td>\nSolve the equation T=2 \u00a0over the square domain with sides x=0=y, x=3=y with T=0 on the boundary, and mesh length=1 using the Gauss-Seidel method.<\/strong><\/td>\n<\/td>\n<\/tr>\n
17.<\/td>\nUsing Newton\u2019s divided difference formula:<\/p>\n\n\n\n\n\n
X<\/td>\n4<\/td>\n5<\/td>\n7<\/td>\n10<\/td>\n11<\/td>\n13<\/td>\n<\/tr>\n
F(x)<\/td>\n48<\/td>\n100<\/td>\n294<\/td>\n900<\/td>\n1210<\/td>\n2028<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0 Evaluate f(8).<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Evaluate f(15) of the above-given values in the table.<\/td>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/td>\n<\/tr>\n

 <\/p>\n

 <\/p>\n

18.<\/td>\n

Section “C”<\/p>\n

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

Mr. Ram has invested a sum of Rs 20,000 in three types of fixed deposits with an interest rate of 10%, 11%, and 12%. He earns an annual interest of Rs 2,220 from all three types of deposits. If some of the amounts with 11% and 12% interest rates are four times the amount earning 10% interest.<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0 Formulate the appropriate system of linear equations to determine the amount invested in each type.[5]<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Compute the amount invested in each type.[7]<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0 Write a program to determine the amount invested in each category of interest.[8]<\/td>\n

 <\/p>\n

 <\/p>\n

20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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 \u2013Spring Year: 2015 Program: BCIS Full Marks: 100 Course: Numerical Methods Pass Marks: 45 Time:\u00a0 3hrs.   Candidates are required to give […]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":1752,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"yoast_head":"\nNumerical Methods || Spring 2015 || Pokhara University<\/title>\n<meta name=\"description\" content=\"Level:\u00a0 Bachelor Semester \u2013Spring Year: 2015Program: BCIS Full Marks: 100Course: Numerical Methods Pass Marks: 45\" \/>\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-spring-2015-pokhara-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" 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