bt0063 smu bsc it summer 2014 II sem assignment

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spring 2014  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.
Given people speak atleast one of the languages.
n(A U B) = 50.

Q2

(i) Express 792⁰ in radians and (7⁰/12) c in degrees

(ii) Prove that

Solution:

(i)

X0 = π x / 180 radians

\ 792⁰ = π ( 792) /180   radians = (22π/5)⁰

[(7 π)/(12)] ⁰   = (7x 180⁰)/12  = 105⁰  answer

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. For example, the growth of a plant, the water level in a tank and the speed of a moving car in a four-base highway are

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:

In this question,

                                                                                        

                

 

Get fully solved assignment, plz drop a mail with your sub code

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Charges rs 125/subject and rs 700/semester only.

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if urgent then call us on 08791490301, 08273413412