University of Sargodha M. Sc. 1. T, First Term Exam 2014 Subject: Information Technology Paper: Basic Mathematics (MATH: 2215)

University of Sargodha

M. Sc. 1. T, First Term Exam 2014

Subject: Information Technology

Paper: Basic Mathematics (MATH: 2215)

Maximum Marks: 80

Time Allowed: 2:30 Hour

Session: 2013-15

Note: Objective part is compulsory. Attempt any four questions from subjective part.

Compulsory

Objective Part

O. No. 1

Write short answer of the following questions each in 2-3 lines.

(32]

If A= {{3.5). 7,9), then find the power set of A.

*ii.

Differentiate sin(2x' + 3x) w. r. t. x.

* ili.

Write down the associative properties of sets with respect to union and intersection.

iv Evaluate / 22 + 4x-9(2x+2)dx.

*v. Evaluate / 2dx

xInx

*vi.

vii.

Find /'(-2),/'(0) for /(x) = 1-stadni.com

Evaluate jcos xex.

What is the difference between (a,b) and {{a,b) .

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Construct truth table for the statement 2^~ P) -

What do you meant by principle of mathematical in

* i Calculate (0.97) by using binomial theorem.-

'air Whether the sequence

(a) (=2) is convergent or divergent.

xili.

Find the sum of the infinite series 2

7

Discus the continuity of the funition 5(x) = - at 2=2

*

xiv.

xV.

A die is thrown twice. What is the probability that the sum of the number of dots shown is 2or 11?

Without expansion verify that b cta

c a+b 1

Sublective Part (12"4)

State and prove the Binomial Formula, hence expand (a+2b)

Q. No.7

000. 3

Use Crammer's rule to solve the system of linear equations

3x+y-z=-4,x+y-22=-4,-x+2y -2=1..

Q. No. 4

Discuss the continuity at x = 3 of the function

2x - 5x-3 ifx *0

Q. No. 5

Q. No. 6

Q. No. 7

absolutely convergent, conditionally convergent, or divergent.

Evaluate the integral 4g de. Ve

Find the derivative of / (x) i-Jisit website: ustadni.com