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WINTER
2013 ASSIGNMENT
PROGRAM-BSC
IT
SEMESTER-
I
SUBJECT
CODE & NAME-BT0063-MATHEMATICS FOR IT
CREDIT-4
BK ID-B0947
MAX.
MARKS-60
Q1
(i) Let
A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A – B and B – A.
(ii) In
a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all
the people speak at least one of the
two languages. How many people speak only English and not Hindi ? How many
people speak English?
Solution:
(i)
A = {1, 2, 3, 4, 5, 6}
and B = {2, 4, 6, 8}
A-B= {1,3,5,4,6,2}
B-A=
{6,4,2,8}
(ii) n(A U B )= people who speak in either hindi and english.
Q2
(i)
Express 7920 in radians and (70/12) c in degrees
(ii)
Prove that
Solution:
(i)
Q3 (i)
Define continuity of a point
(ii)
Test the continuity of the function f where f is defined by
Solution:
(i)
In mathematics and
sciences, we use the word “continuous” to describe a process that goes on
without abrupt changes.
Q4 Solve
Solution:
The given equation is:
Q5 A bag
contains two red balls, three blue balls and five green balls. Three balls are
drawn at random. Find the probability that
a) the
three balls are of different colours
b) two
balls are of the same colour
c) all
the three are of the same colour.
Solution:
Let E denote the given event:
a) We can choose one red
ball in C(2,1) ways, etc. So
Q6 Solve:
2x + 3y + 4z = 20, x + y + 2z = 9, 3x + 2y + z = 10
Solution:
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