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Subject: I. T University of Sargodha M. Sc. 1" Term Exam 2016. Paper: Basic Mathematics (Math-2215)

Subject: I. T University of Sargodha M. Sc. 1" Term Exam 2016. Paper: Basic Mathematics (Math-2215) — page 1

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Subject: I. T

University of Sargodha

M. Sc. 1" Term Exam 2016.

Paper: Basic Mathematics (Math-2215)

Time Allowed: 2:30 Hour

Maximum Marks: 80

Note:

Objective part is compulsory. Attempt any three questions from subjective part.

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Objective Part

(Compulsory)

Write short answers of the following questions, each in 3-4 lines.

(2*16)

Л

i.

Convert the following binary number into decimal number 11.00012.~

~

ii.

7 ili.

Multiply 1112x1012.

Convert the decimal number into binary number 20.62510.

4

iv.

Expand the following: (2+x)

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5 V.

What is Tautology statement? Explain.

6 V1.

Convert following binary numbers into decimal number 101.0012

If y=log(x) then find y

7

viii.

4

ix.

be x.

# xi

#xii.

- dx?

Multiply 102 and 112.

Explain conjuction "s"~

15 mit 562

Explain disjunction "v"

Define transpose of a matrix.

Write 549 decimal number in binary

rexiv.

* xVi.

Subtract (110101)2-(101110)2

Convert 3021g into decimal.

Define Cartesian product with example.

What is Combination?

Subjective Part

(3*16)

Q.2.

Using Newton Raphson method to find the root of the following equation x'-2=0 starting

Q.3.

with xo =1.

Evaluate the following:

1.

usta

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Q.

2.

$(25+x') " dx

Constructeriable)

-2x

Given that f(x) =-

- and g(x) = V3x+2, find f(g(x)).

x° +1

Solve the following system of equation:

x + 3y+3z=1

2x + 5y +7z=1

-2x - 4y - 5z=1

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