Multivariable Calculus ADS/MS Computer Science/MSc Computer Science 4 Semester/Term PU — University of the Punjab 2022
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BS ZOOLOGY first semester Animal diversity ZOOL 101 - university of Punjab 2025
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Literary criticism
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this paper consists of 60 marks but now we have 35 marks paper.
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Can you please tell me more past papers please because my exams are starting from next week
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Did you provide the past papers of the science of society uos?
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Paper text
UNIVERSITY OF THE PUNJAB
B.S. In Computer Science Fourth Semester - Spring 2022
Roll No.
Subject: Multivariate Calculus
Paper: SC-241
Subject: CS Supporting-l
Paper: SC-24X
Time: 3 Hr
Marks:
THE ANSWERS MUST BE ATTEMPTED ON THE ANSWER SHEET PROVIDED
Q.1. Answer the following short questions.
(6x5=30)
(*)
(H)
(iv)
（e）
-(ud)
Find the domain of f(x,y) = yEy.
Calculate the iterated integral fI dyde.
Evalunte the line integral fude + ady + ads, C: = = vt, y= k, a = P,1≤1≤4.
Obtain the Fourier sine serics for /(=) = 1 in (0,*).
Find Fourier Cosine transform of f(=) = e"*.
Determine whether /(z) = |zª - =| la even, odd, or neither.
Answer the following questions.
(3x10=30)
Q.2. Find the local maximum and minimum values and saddle points) of the function
「（，3）=1+34v-022-60+2
Q.3. Evalunte the doubleintegral f a cos jA, D la bounded by y = 0, U = 2%, = =
1.
Q.4. Evalunte the line integral f F - dr, F(x, U, s) = (= + 1)i + (u - z)3 + 2%,
C is given by the vector function f(t) = 1+4} + (%, 0 ≤ L ≤ 1.
