Download DBATU B.Tech 2019 March 3rd Semester Numerical Methods and Programming Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B Tech 2019 March (Bachelor of Technology) 3rd Semester Numerical Methods and Programming Question Paper

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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE
Mid Semester'Examination ?, Oct 2018 '
Course: B. Tech in EEP - ' ? e _ Sem: III
Subject Name: Numericai Methods and Programming ~. Subject Code: BTEEC404
Max Ma fks: 20 I Date:?-l4/03120?19 , . Duration:- 1 Hr.
Instructions to the Students:
1. Assume Suitable Data if required.
2. Use of Programmable calculatorsis prohibited. '
? ' Marks
1. When Limited signi?cant values ?gures are used to represent exact number it is
called as
? a;True Error b. Truncation Error c. Round OffError d. Relative error
2. What is the operation of ?det(a)? function in MATLAB
a. Transpose b. detei'ininant .c. inverse (1. none of these
3. Ara) = ' ' I
aura) ? ram 12. arm ? roan ?
C-l{f(k)~f'(x)}l d-IUCE) ?f?(x)}l
4. % ea = ? '
Approximate error True error ?
x 100 hm X 100
True Value . True Value
Relative error , Approximate error
as? x 100 d.*?,\, x 100
Approximate Value _ , Approximate Value ?
5. A Maclaurin?s series is a Taylof series expansion of a function about 0
a. True v b. false , _ ? -
6. Chopping is a type of round off error in which last signi?cant digit is rounded up by ?1? if
the ?rst discarded digit is greater thah or equal to ?ve. ?
a. True b. False
Solve Any Two of the following. 1,? _ - 3 X 2
Suppose that you have task of measuring voltage current & power of a system. First you use =6
analog meter which measures voltage as 239V, current is 2.9A. and power is obtained by
formula (VxI). But then accurate measurement was carried out by Digital Multimeter where
voltage was 228V & current was 22.4.. Find a) True Error b) True Relative Error & c) True
percentage relative error in Voltage current & Power. '
Use Maclaurins series expansion to ?nd the true value of: e" where the value of x=0.5 and
also ?nd the true percentage error.(Calculate upto 4? order approximation)
Given values'of (E) = 2.5 with an error of A60 = 0.01 estimate the resulting error in
function f(x) = x3