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Khuram Ali Khan
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Results, J. Inequal. Appl., Vol. 2010, 16 pages, (Published on October 18, 2010), Impact Factor 0.879.... . Appl., Vol. 2011, Article ID 350973, 19 pages, (Published on March 14, 2011) Impact Factor 0.73 ([[... lities and Applications, 1 (2012), No. 1, 12-32, (Published on July 9, 2012). ([[http://scik.org/index... uality for Operator Convex Functions, J. Math. Comput. Sci., vol. 2 (2012), No. 3, 656-672. ([[http://
University of the Punjab, Lahore (Old Papers) @papers:old_papers_for_bsc_mathematics
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====== University of the Punjab, Lahore (Old Papers) ====== {{ :papers:old_papers_for_bsc_mathematics:old-papers-bsc-pu.jpg?nolink&300|Old paper PU}} Old papers for BSc (Mathematics), University of the Punjab, Lahore. ((University of the Punjab (PU) logo
Syllabus for PU @msc:syllabus
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====== Syllabus for PU ====== <html><img src=http://www.mathcity.org/images/logopu.gif alt="University of the Punjab Logo" class=mediaright /></html> Syllabus and scheme of studies fo... ents doing MSc Mathematics from University of the Punjab, Lahore. ((University of the Punjab (PU) logo
Are the functions are same? @dyk
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> A //function// is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. </WRAP> Set of inputs is usually know as //domain of the function
University of the Punjab, Lahore (Old Papers) @papers:old_papers_for_msc_mathematics
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====== University of the Punjab, Lahore (Old Papers) ====== <html><img src=http://www.mathcity.org/images/logopu.gif alt="University of the Punjab Logo" class=mediacenter /></html> Old papers for MSc (Mathematics), University of the Punjab, Lahore. Hopefully this will help students to
Question 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04
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unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... Given: $$a_n=\dfrac{n(n+1)}{2}$$ For first term, put $n=1,$ $$a_1=\dfrac{1(1+1)}{2}=1$$ For second term, put $n=2$. $$a_2=\dfrac{2(2+1)}{2}=3$$ For third term, put $n=3,$ $$a_3=\dfrac{3(3+1)}{2}=6$$ For forth ter
University of Sargodha (Old Papers): BSc (Mathematics only) @papers:old_papers_for_bsc_mathematics
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ics. The A-Course of Mathematics is renamed from "Pure Mathematics" and B-Course of Mathematics is ren... This is a new name and its has been changed from "Pure Mathematics". But the old papers are still vali... :sargodha_university:viewer-a-course?f=am/UoS-BSc-Pure-Maths-A-1A2013 |Pure Mathematics: Paper A - 1st Annual 2013]] * [[:papers:old_papers_for_bsc_mat
View Online: A-Course of Mathematics @papers:old_papers_for_bsc_mathematics:sargodha_university
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:sargodha_university:viewer-a-course?f=am/UoS-BSc-Pure-Maths-A-1A2013 |Pure Mathematics: Paper A - 1st Annual 2013]] * [[:papers:old_papers_for_bsc_mat... :sargodha_university:viewer-a-course?f=am/UoS-BSc-Pure-Maths-A-1A2012 |Pure Mathematics: Paper A - 1st Annual 2012]] * [[:papers:old_papers_for_bsc_mat
Syllabus & Paper Pattern for A and B Course of Mathematics @bsc:paper_pattern:punjab_university
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ated to discuss the syllabus or course outline of PU splitted into two part. It will take some time to... r two years for BA/BSc Program from University of Punjab (PU), Lahore but from this year (2016), PU has made changes in its examination policies for the said prog
Atiq ur Rehman, PhD
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ematics\\ COMSATS University Islamabad, Attock Campus\\ Kamra Road, Attock - PAKISTAN. </WRAP> **Ema... 4|mathscinet]] * See profile at [[http://www.scopus.com/authid/detail.url?authorId=7006197515|Scopus]] * See profile at [[http://ww2.comsats.edu.pk/fa... ractional versions of Hadamard inequalities for Caputo fractional derivatives and related results, Ope
Syllabus/Model Papers for Punjab University @bsc:paper_pattern
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====== Syllabus/Model Papers for Punjab University ====== <WRAP bsc center 85%> **[[BSc:Paper Pattern:Punjab University:B.Sc. Paper Pattern for General Ma... for BSc General Mathematics for University of the Punjab for 1st year only</WRAP> <WRAP bsc center 85%> **[[BSc:Paper Pattern:Punjab University:B.Sc. Paper Pattern for A and B Co
Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
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r two years for BA/BSc Program from University of Punjab (PU), Lahore but from this year (2016), PU has made changes in its examination policies for the said prog... tion of two variables; The partial derivative, Computing partial derivatives algebraically; The second
Dr. Junaid Alam Khan
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link |Dr Junaid Alam Khan}} ==== Procedure to Compute Sasbi-Standard Bases==== Let A=B_> be a localiz... s I in a module (A)^n, the following procedure computes a Sasbi-Standard weak normal form of f with re... stably simple curve singularities==== Remarks: Compute the Sagbi- basis of the Module. Compute the Semi-Group of the Algebra provided the input is Sagbi B
Computing Tools for Mathematics by Asif Arshad @notes
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====== Computing Tools for Mathematics by Asif Arshad ====== {{ :notes:computing-tools-for-mathematics-asif-arshad.jpg?nolink|omputing Tools for Mathematics by Asif Arshad}} Computing tools for mathematics are algorithms that use co
Participate
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ies, we will return your notes after scanning and publish it on MathCity.org. Please contact [[:about ... * The material given on MathCity.org is free and publish to help the students to learn Mathematics. I... o manage this website and prepare new material to publish on this website. The big problem is not to g... te revenue but to get new and updated material to publish on MathCity.org. * MathCity.org has adopte
Mathematics Conferences
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Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
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Dr. Muhammad Ahsan Binyamin
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Formatting Syntax @wiki
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Pure Mathematics @bsc:paper_pattern:sargodha_university
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Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
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FSc/ICS Part 1 (Mathematics): PTB
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Notes of Mathematics
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Quotes for the March @quote-of-the-day
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Question 4 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 and 2 Exercise 6.5 @math-11-kpk:sol:unit06
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Papers
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CHEM-501: Basic Mathematics for Chemist @atiq
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MATH-300: Basic Mathematics for Chemist @atiq
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MTH231: Linear Algebra @atiq
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MCQs/Objective: HSSC-I @fsc
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MCQs/Objective: HSSC-II @fsc
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Pakistan Journal of Mathematical Sciences @journals
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Old papers for BSc (Mathematics only) @papers
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Quotes for the February @quote-of-the-day
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Exercise 6.1 @matric:9th_science
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Question 1, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.3 @math-11-kpk:sol:unit10
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FSc
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FSc Part 1 (Mathematics): KPK
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FSc/ICS Part 1 (Mathematics): KPK
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PPSC General Information, Syllabus, Paper Pattern
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Privacy & Cookies Policy
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MTH611: Integral Inequalities (Fall 2019) @atiq
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Notes of Calculus with Analytic Geometry @bsc
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Syllabus and paper pattern @bsc
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Mathematical Statistics II by Sir Haidar Ali @notes
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Aurang Zaib @people
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Syllabus for UoS (Private only) @msc:syllabus
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Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 2 & 3 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 2 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.2 @math-11-kpk:sol:unit07
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Report Abuse
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Software
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MTH604: Fixed Point Theory and Applications @atiq
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MATH-301: Complex Analysis @atiq
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MATH-505: Complex Analysis @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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Important Questions: HSSC-I @fsc-part1-ptb
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MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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Mathematics 9 (Science Group) @matric
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Old papers for MSc Mathematics @papers
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Quotes for the April @quote-of-the-day
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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 2 and 3 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 7 & 8 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 3 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 5 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 7 & 8 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 10 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 9 Review Exercise @math-11-kpk:sol:unit05
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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.3 @math-11-kpk:sol:unit07
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About Us
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FSc/ICS Part 2 (Mathematics): PTB
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MathCraft
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BS/MSc
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MTH322: Real Analysis II (Fall 2016) @atiq
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH322: Real Analysis II (Fall 2020) @atiq
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MTH322: Real Analysis II (Fall 2021) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH322: Real Analysis II (Spring 2019) @atiq
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MTH322: Real Analysis II (Spring 2022) @atiq
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MTH322: Real Analysis II (Spring 2023) @atiq
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Notes of Mechanics @bsc
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Definitions and Review @fsc-part1-ptb
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MCQs Bank: FSc-I @fsc-part1-ptb
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Multiple Choice Questions (MCQs) @fsc-part1-ptb
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FSc Part 1 Model Papers @fsc
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FSc Part 2 Model Papers @fsc
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FSc (Kyber Pakhtunkhwa (KPK) Boards) @fsc
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Solutions: Math 11 KPK @math-11-kpk
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MathCraft: PDF to LaTeX file: Sample-02 @mathcraft
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General Mathematics 9 @matric
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Syllabus for M.Sc Mathematics @msc
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Complex Analysis (Easy Notes of Complex Analysis) @notes
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Notes for Numerical Methods by M Usman Hamid @notes
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Iqra Liaqat @people
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Sheikh Muhammad Saleem Shahzad @people
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Introduction to Mechanics @bsc:notes_of_mechanics
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs
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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Targets @msc:notes
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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Question 9 & 10, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 4 & 5 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 6 & 7 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 8 & 9 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 3 and 4 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 17 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 7 & 8 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 3 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 5 & 6 Review Exercise @math-11-kpk:sol:unit05
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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 10 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 15 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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Dr Aamir Ali
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ADS/BSc
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Mathematics CUI: LaTeX Resources
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Mathematics Events
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Home
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Dr. Muhammad Imran Qurshi
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Quote of the Day
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MTH321: Real Analysis 1 @atiq
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MTH321: Real Analysis I (Fall 2015) @atiq
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MTH322: Real Analysis II (Fall 2015) @atiq
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MTH321: Real Analysis I (Fall 2018) @atiq
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MTH321: Real Analysis I (Fall 2019) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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MTH321: Real Analysis I (Fall 2021) @atiq
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MTH321: Real Analysis I (Fall 2022) @atiq
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MATH-510: Topology @atiq
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MATH-510: Topology @atiq
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MTH321: Real Analysis 1 @atiq
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MTH321: Real Analysis 1 (Spring 2015) @atiq
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MTH322: Real Analysis II (Spring 2016) @atiq
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MTH251: Set Topology @atiq
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MTH211: Discrete Mathematics (Spring 2020) @atiq
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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MTH211: Discrete Mathematics (Spring 2022) @atiq
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MTH321: Real Analysis I (Spring 2023) @atiq
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Notes of Mathematical Method @bsc
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Notes of Fourier Series @bsc
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What is the value of pi? @dyk
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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FSc Part 1 Mathematics Notes/Solutions @fsc-part1-ptb
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Solution and Area of Oblique Triangle @fsc-part1-ptb
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Trigonometric Formulas @fsc-part1-ptb
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Important Questions: HSSC-II @fsc-part2-ptb
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Old Papers (FSc Part 1) @fsc
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FSc Part 1 Mathematics Notes/Solutions @fsc
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Trigonometric Review @fsc
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Old Papers (FSc Part 2) @fsc
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FSc/ICS Part 2 Solutions @fsc
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FSc Part 1 (KPK Boards) @fsc
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FSc Part 2 (KPK Boards) @fsc
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Definitions: FSc Part1 KPK @math-11-kpk
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MathCraft: PDF/Image to Word: Sample 01 @mathcraft
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MathCraft: PDF/Image to Word: Sample 02 @mathcraft
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Mathematics 10 (Science Group) @matric
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MCQs and Short Questions @msc
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Advanced Analysis: Handwritten Notes @notes
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Advance Analysis by Ms. Iqra Liaqat @notes
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Affine and Euclidean Geometry by Shahzad Idress @notes
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Algebra II by Syed Sheraz Asghar @notes
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Algebraic Number Theory Notes by Anwar Khan @notes
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Notes of Analysis @notes
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Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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Complex Analysis by M Usman Hamid @notes
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Complex Analysis (Quick Review) @notes
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Differential Geometry by M Usman Hamid @notes
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Differential Geometry by Syed Hassan Waqas @notes
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Elementary Linear Algebra by Muhammad Usman Hamid @notes
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Fluid Dynamics I by Muhammad Usman Hamid @notes
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Fluid Mechanics by Ali Raza @notes
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Fluid Mechanics I by Dr Rao Muzamal Hussain @notes
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Functional Analysis by Prof Mumtaz Ahmad @notes
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Fuzzy Sets Theory by Umar Saeed Bunarai @notes
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Group Theory: Important Definitions and Results @notes
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Group Theory by Mr. Muhammad Iftikhar @notes
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Handwritten Notes of Real Analysis by Asim Marwat @notes
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History of Mathematics by Muhammad Usman Hamid @notes
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Linear Algebra: Important Definitions and Results @notes
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Mathematical Method by Muhammad Usman Hamid @notes
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Mathematical Statistics I by Muzammil Tanveer @notes
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Mathematical Statistics by Ms. Iqra Liaqat @notes
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Measure Theory Handwritten Notes by Asim Marwat @notes
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Mechanics (Easy Notes of Mechanics) @notes
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Mechanics by Sir Nouman Siddique @notes
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Mechanics I (Statics) by Dr Babar Ahmad @notes
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Metric Spaces (Notes) @notes
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Number Theory: Handwritten Notes @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Numerical Analysis by M Usman Hamid @notes
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Numerical Analysis II @notes
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Operation Research by Sir Haidar Ali @notes
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Operation Research: Handwritten Notes @notes
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Partial Differential Equations by M Usman Hamid @notes
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Partial Differential Equations by Muzammil Tanveer @notes
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Rings (Handwritten notes) @notes
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Rings & Modules by Ms. Iqra Liaqat @notes
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Special Functions by Dr. Muhey-U-Din @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Vector Space (Review) by Rashad Wattu @notes
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Akhtar Abbas @people
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Bahadar Ali Khan @people
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Prof. Muhammad Farooq @people
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Raheel Ahmad @people
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Umar Saeed Bunarai @people
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DokuWiki @wiki
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What is Mathematics? @atiq:math-608
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Chapter 02: Groups @bsc:notes_of_mathematical_method
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Chapter 03: Matrices @bsc:notes_of_mathematical_method
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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Unit 03: Integration @fsc-part2-ptb:important-questions
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MCQs by Nauman Idrees @fsc:fsc_part_1_mcqs
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FBISE Annual 2009 @fsc:fsc_part_1_old_papers
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FBISE Annual 2011 @fsc:fsc_part_1_old_papers
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FBISE Annual 2012 @fsc:fsc_part_1_old_papers
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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Chapter 05: Partial Fractions @fsc:fsc_part_1_solutions
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MCQs by Muhammad Imran Qureshi @fsc:fsc_part_2_mcqs
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MCQs by Nauman Idrees @fsc:fsc_part_2_mcqs
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 06: Conic Section @fsc:fsc_part_2_solutions
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Unit 07: Vectors @fsc:fsc_part_2_solutions
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Chapter 01: Complex Numbers @fsc:kpk_fsc_part_1
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Chapter 03: Vectors @fsc:kpk_fsc_part_1
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Chapter 04: Sequences @fsc:kpk_fsc_part_1
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Chapter 05: Miscellaneous Series @fsc:kpk_fsc_part_1
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Chapter 08: Function and Graphs @fsc:kpk_fsc_part_1
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Chapter 09: Linear Programming @fsc:kpk_fsc_part_1
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FSc-I Mathematics KPK: View Online @fsc:kpk-fsc-part1-km
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Unit 03: Vectors (Solutions) @math-11-kpk:sol
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Exercise 4.1 @matric:9th_science
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Exercise 6.2 @matric:9th_science
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Exercise 6.3 @matric:9th_science
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Review exercise @matric:9th_science
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Unit 03: Variations: Online View @matric:10th_science
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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 6, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 7, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 4, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 9, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 1, Review Exercise 1 @math-11-kpk:sol:unit01
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Question 1, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 5 & 6, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 7, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 8, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 9, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 10, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 11, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 12, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 13, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 1, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 5, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 6, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 7, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 8,9 & 10, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 11, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 12, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 13, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 14 & 15, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 16 & 17, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 18, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 19, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 1, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 1, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 2, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 5 & 6, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 11, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 1, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 4 and 5 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 9 & 10, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 11, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 12 & 13, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 1 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 2 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 4 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 9 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 1 & 2 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 3 & 4 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 7 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 8 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 9 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 1 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 2 & 3 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 10 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 3 and 4 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 5 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 6 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 1 and 2 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 5 and 6 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 7 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 8 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 9 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 14 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 15 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 16 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 11 & 12 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 6 & 7 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 8 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 9 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 11 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 12 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 2 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 6 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 7 & 8 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 9 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 2 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 3 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 4 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 5 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 6 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 4 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 1 Review Exercise 5 @math-11-kpk:sol:unit05
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Question 2 & 3 Review Exercise @math-11-kpk:sol:unit05
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Question 4 Review Exercise @math-11-kpk:sol:unit05
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Question 7 Review Exercise @math-11-kpk:sol:unit05
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Question 8 Review Exercise @math-11-kpk:sol:unit05
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Question 10 Review Exercise @math-11-kpk:sol:unit05
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Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 1 and 2 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 2 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 1 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 5 and 6 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 2 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 3 & 4 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 11 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.1 @math-11-kpk:sol:unit10
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Question, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 8, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10
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Question11 and 12, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 13, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 4 and 5, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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Preparation Guide @msc:syllabus:uos
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