Pre Calculus MS Computer Science/MSc Computer Science/PhD Computer Science 2 Semester/Term PU — University of the Punjab 2022
Discussion
Ask a question about this paper, or help someone else with theirs. Answers are emailed to whoever asked.
No questions yet — be the first to ask.
Need a paper or stuck on a question? Ask here — students reply and you get an email.
Ask about a paper-
BS ZOOLOGY first semester Animal diversity ZOOL 101 - university of Punjab 2025
0 replies Reply → -
Literary criticism
1 reply Reply → -
this paper consists of 60 marks but now we have 35 marks paper.
1 reply Reply → -
Can you please tell me more past papers please because my exams are starting from next week
1 reply Reply → -
Did you provide the past papers of the science of society uos?
1 reply Reply →
More Pre Calculus papers
See all
Pre Calculus MS Computer Science/MSc Computer Science/PhD Computer Science 2 Semester/Term PU — University of the Punjab 2024
Uploaded 1 day ago · by Hifza
Download ↓
Pre Calculus ADP/BS 2 Semester/Term government university FSA 2025
Uploaded 4 months ago
Download ↓
Pre Calculus MSC IT 2013 UOS
Uploaded 3 years ago
Download ↓
Paper text
UNIVERSITY OF THE PUNJAB
B.S. in Computer Science Second Semester - Spring 2022
ect: Pre-Calculus-ll
Paper: MD-002
THE ANSWERS MUST BE ATTEMPTED ON THE ANSWER SHE
(15x2=30)
.1. Solve the following questions.
（1） Solve （2.6）+（3.7）.
(Il) Simplify (-I)"
(Ul) Separate 1+1
into real and imaginary parts.
(ly) Find the 13" term of the sequence x, 1,2 - x, 3 - 2x. ...
(v) If a, b,c, d are in geometric progressior. (sequence), show that
a - b, b - C,C- d are in geometric progression.
(vi) Evaluate
12Pg and 2°C1z.
(vii) A die is rolled, What is the probability that the dots on the
top are greater than 4?
(Vill) Using Binomial Theorem expand (a + 2b)'.
(x) Discuss the continuity of f(x) = *=2 at x=1.
(x) Find of y = *+
A-X"
(xi) Determine the intervals in which f(x) = x7 + 3x + 2 is
increasing or decreasing for the domain x € (-4,1) .
(xil) Find the area between x-axis and the curve y = x? + 1 from
x-1t0x～2.
(xil) Simplify the indefinite integral tax dx.
(xiv) What is meant by relative maxima of a function?
(x) Simplity S, (xi +1) dx.
(2)
(3)
Solve the following questions.
Ssimplty（-净+嗎））.
The sum of 9 terms of an arithmetic progression is 171 and
its 8h term is
31. Find the series.
(6x5=30)
(4)
(5)
(G)
that x 2(14y)
Determine whether lim f(x) and lim f(x) exist, when
2x+1 if
05x≤2
25x54.
45X56
Examine the defined function f(x) = x° - 6x' + 9x for
concavity.
Solve the definite integral [VS x'49x+1 dx.
