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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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