Download SGBAU BCA 2019 Summer 1st Sem Numerical Methods Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) BCA 2019 Summer (Bachelor of Computer Applications) 1st Sem Numerical Methods Previous Question Paper

AW?1789
B.C.A. (Part?I) Semester?I Examination
NUMERICAL METHODS
Paper?lST4
Time : Three Hours] [Maximum Marks : 60
Note :??(1) All questions are compulsory.
(b)
(C)
(b)
(C)
b.)
(a)
(b)
(C)
(b)
(C)
(b)
6. (a)
(b)
(2) All questions carry equal marks.
(3) Assume suitable data wherever necessary.
What do you mean by mathematical model ? How will you formulate it ? 4
What are the different phases involved in numerical computing ? 4
Distinguish between analog computing and digital computing. 4
0R
Explain discrete data and continuous data involved in numerical computing with example.
4
Explain new trends in numerical computing. 4
What is Accuracy ? How is it affected during the process of Numerical computing ?
4
Explain Inherent Errors. 4
Explain the concept of signi?cant digit with proper example. 4
Explain Round off errors. 4
0R
Round off the following numbers correct upto four decimal places :
(1) 0.005789
(ii) 0.235092
(iii) 56.243827
(iv) 04560012 4
Distinguish between rounding off error and truncation error. 4
What do you mean by signi?cant digit ? Explain the term accuracy and precision
related to signi?cant digits. 4
Describe how you will ?nd out root of equation f(x) = 0 by Bisection method. 6
Find graphically the positive root of an equation x3 - 6x ~ 13= 6
0R
Find the real root of equation f(x) = x3 ? 3x ? 5 = 0 by using false position method.
6
Find the root of equation f(x) = x3 ? 4x ? 9 = O by using Bisection method 6
YBC 715353 1 tContd.)

jd
10.
YBC?
(a)
(b)
(a)
(b)
(a)
(b)
(a)
(b)
1
'J?
?.1
State the Newton-Ruphson formula and explain how is it used [0 obtain real root ol'the
equation. 6
Find the root of equation by using Sccanl method :
f(x)=xl?4x-10??0 6
OR
Explain ?xed point iteration method to ?nd roots of non-linear equation. 6
Find the root of equation ?x; ~? x? - x ? IO ; (J h) using XcMon-Raphson mcthod.
6
Solve the following 5) stem 01? equation b} using Gauss elimination m?th partial pivoting :
x 4 y + z = 1
3x+_V?37.=5
X?2x~5z:l() 8
Write any four diffcrcnccs bcween Simple Gauss Elimination method and Gauss Jordan
method. 4
0R
Solve the following system 01 equation hy usmg Gauss Jordan method :
10x - 2y T Z = 9
x + 10)? 1. ~' 7 22
~le ?- 3y + 10/. .? 22 8
Explain the Gauss Elimina ion by partial pivoting method. 4
53 ?