punjabtechnicaluniversity.blogspot.in
Roll
No...........................
Total No. of
Questions : 13]
[Total No. of Pages : 03
Paper ID [A0211]
(Please fill this Paper ID in OMR Sheet)
BCA (301) (Old / S05) B.Sc. IT (404) (New) (Sem. - 3rd)
MATH -II (Computer Oriented Methods)
Time : 03
Hours Maximum
Marks : 75
Instruction to
Candidates:
1) Section - A
is Compulsory.
2) Attempt any Nine questions
from Section - B.
Section - A
Q1)
(15 × 2 = 30)
a) State the both Necessary and Sufficient Conditions for maxima or minima
of a function.
b) Define a matrix and its rank.
c) When two matrices A and B are said to be conforable to multiplication?
d) Find the maxima or minima for the function f(x) = 2x3 - 21x2 + 36x - 20.
e) What is Gauss elimination method of solving system of simultaneous
equations?
f) What is a determinant? Give its one important property.
g) Given Show that
(A + B) + C = A + (B + C)
h) What is measures of Dispersion? Name two important measures which you
like.
i) What is a frequency distribution Table? Give its one use.
j) What is coefficient of skewness?
k) Compare and contrast Integral of a function and definite integral.
l) Explain Trapezoidal method of Numerical Analysis.
m) What is Simpson 1/3 rule? Give its one application.
n) Find the cost function for a product whose marginal cost function is
MC= 5+8X, given that fixed cost is 250.
o) What is Integration by partial fractions? Give its one application.
Section - B
(9 × 5 = 45)
Q2) Find the value of 2 1 5
1 3 2
4 3 1
Q3) Find the inverse of A = 6
4 7
1 5 9
3 0 2 if it exist.
Q4) Solve the following
system of Equations using matrix inverse method, if the solution exist.
5x + 7y = -2
4x + 6y = -3
Q5) Explain Gauss Jordan
method of solving simultaneous Equations with an example. Also give its
advantages over other methods.
Q6) Following is record of
percentage of dividend declared by selected listed companies during the year.
% age of
Dividend: 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45
No of
Companies: 5 6 15 10 5 4 2 2 Calculate coefficient of variation for the data
and interpret the results.
Q7) Compare and contrast the
following as measures of central tendency.
(a) Mean v/s
Median.
(b) Median
v/s Mode.
(c)
Percentile v/s Quartiles.
0 comments:
Post a Comment
North India Campus