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PROGRAM BSc IT
SEMESTER First
SUBJECT CODE &
NAME
Bt0063- MATHEMATICS for IT
Q1.
Let A =
A = {x : x є Z+} ;
B = {x
: x is a multiple of 3, x є Z}:
C =
{x:x is a negative integer};
D =
{x:x is an odd integer}.
Find
(i) A ∩ B, (ii) A ∩ C, (iii) A ∩ D, (iv) B ∩ C, (v) B ∩ D, (vi) C ∩ D.
Answer:
(i)
A ∩ B= {3, 6
(ii)
Q2. Prove that the set Z4
= {0, 1, 2, 3} is an abelian group
w.r.t. addition modulo 4.
Solution: Form the composition table w.r.t.
addition modulo 4 as
below:
Q3. Differentiate
y=
x√(a^2-x^2)/2 + a^2/2 sin^-1 x/a w.r .t. x
Solution:
Put x = a sin q
Q4. Integrate the following
w.r.t. x
a)
x^2/1+x^6 b) xe^-x^2 c)
sin√x/√x
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.
Answer: Let E denote the given event.
a)
We can
choose one red ball in C (2, 1) ways,
Q6.
Given below are the marks obtained by five B.Sc. students
|
Roll No
|
:
|
101
|
102
|
103
|
104
|
|
|
Marks
|
:
|
10
|
30
|
20
|
25
|
|
|
Roll No
|
:
|
101
|
102
|
103
|
104
|
|
|
Marks
|
:
|
10
|
30
|
20
|
25
|
|
|
Calculate Standard Deviation
|
|
|
||||
Get fully solved assignment. Buy online from website
online store
or
plz drop a mail with your sub code
we will revert you within 2-3 hour or immediate
Charges rs
125/subject and rs 625/semester only.
if urgent then call us
on 08791490301, 08273413412
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