Calculus BS 1 Semester/Term PU — University of the Punjab 2021

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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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UNIVERSITY OF THE PUNJAB

B.S. 4 Years Program: First Semester - 2921

Paper: Calculia - 1

res Code: MA54-0001

Mr 04549

Time: 3 He. 30-1

Martia: 90

ATTEMPT THIS IUBUECTIVE ON THE SEPARATE ANSWER SHEET PROVIDED

Q.2. Solve the following

(5x4+20)

0) Defne one-to-one fustion and show whether (0x) = of la onets one or not fr

use off graph.

0B) Show that (Ck) = 5 and g(c) = (kx)l are inverses of one suther.

(8) If f(x) = Isla] for all x eR - (t] then fnd devative of /(x) wrax.

(x) Show that f(x) = a9 - 349 + 3+2 is Increasing everywhere.

Miniate Cale

Solve the following:

Q,. Find the domain and range of the fattion f(x) = V4 - gl

_ QA. The cont C(x) On Rupess) of producing a units of some here la given by C(x) =

2000 + 2x - 0.0001 x°, find the marginal cost when x = 1000

91, Iw

QL6 Find the surface area generated by revolving y = 5, a S 4 S 4 about a - exis

QL7. Find length of the curve r = 8° 0 g, 8 g, V/S