AD University Of Sargodha (UOS) 2025

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Time Allowed: 02:30 Hours Maxime Marks: 6

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

Objective Part (Compulsory)

Q.1. Write short answers of the following in 2-3 lines each on your answer sheet. (@*12)

+ What is real line?

i What + ry interval? Give an example

mn a omain of the function

in A(De ine constant function

0 Write two properties of continuous function’

1% To 5 3

vi. Evaluate == ~

de \ sint z ot

vii Write constant multiple rule of differentiation LA A" ay

viii. Define absolute minimum x AD

ix Define critical point

Xx. Wnite two rules of definite integral

Xi Evaluate | @ do

In Objective Part (Compulsory) dlr

QI. Write short answers of the following in 2-3 lines each on your answer sheet. Rion

i. What interval? Give an example.

i eos ref

vi. Evaluate aE) 2

Define critical point.

Write two rules of definite integral.

2

xi. Evaluate [6'do

LJ

xii. Write two properties of absolute value

vii.

viii. Define absolute minimum.

ix. Re

x

Subjective Part (3*12)

Q.2.

(a) Solve the equation

2. =

(b) Sketch the graph of the function y = Yx over the interval [0.4]

(a) Find the limit fim Joshi JON x

@¥] Discuss the continiiity of (x) = (x* -9)/(x~

3) at x=}

\ Sx

(a) Differentiate ‘u’ with respect to the variable involved wet

vx

£

(b) Find the absolute extrema values of f(x) =x" ~1 on [1,2]

fan

QS Bakr gocomp | osc x cot x dx

oN

\

the integral using given substity Dos dy, Mw=~ 1

W At E XJ I}

06 Fvaluste [sin x dx Ro : O°

dv

PCa

LK-7217221-11-25 »