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Calculus AD 1 Semester/Term PU — University of the Punjab 2025

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  • Ayesha Mustafa· 1 day ago

    BS ZOOLOGY first semester Animal diversity ZOOL 101 - university of Punjab 2025

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  • Abubakar· 1 day ago

    Literary criticism

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  • Guest· 2 days ago

    this paper consists of 60 marks but now we have 35 marks paper.

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  • Annie· 2 days ago

    Can you please tell me more past papers please because my exams are starting from next week

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  • Ahmed· 6 days ago

    Did you provide the past papers of the science of society uos?

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Paper text

UNIVERSITY OF THE PUNJAB

Paper: Calculus

AD 2 YearsTA B514 Yesisi Caure Program/Emi Samester - Fa

Roll No. 1579.5M

Marks: 60

Course Code: SMTH-101

THE ANSWERS MUST BE ATTEMPTED ON THE ANSWER SHEET PROVIDED

Q.1. Give short answer to the following concepts:

(15x2=30)

4 /6عا/:1 / - 3

Find the slope and yertep of the line B2 + Sy =

20.

Fiad the domain and ringe of fustica /(t) = sir

Find derivative of f(x) = 5×* + x.

Find the roots of /(x) ~ y? - 3x -

1.

Evaluate f(x* + 3r*)dx.

Flod an ariderivetive of f

Find the absolute maximum and minimum

ses of f(x) = x2 on 1-2.1].

IG(x) - I VP + dt, dt, fod G(x)

Find Verical aytos of f(x) - #

Answer the following questions.

Q.No.2. For what value of b is

s(z) - مطأ

XXAー2

x2-2

Continuous at every x?

Q.No.3. Firad the averago value of fx) --3x+ - 1 on (0, 11].

Q.No.4. Eratase J, x/1-7 dx.

Q.No.5. Find 22 -7 (as a fuction of

1) where a - P and yo 1-22.

Q.No.6. Use Newton's methed to estimate the setutions of the equation

ピ+xー1ーロ

(5x6-30)

Stus with xo m - 1 ie the lef-hand solution and with xo w 1 for the solution on the right

in each case. fied xy-