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  • MTH103: Exploring Quantitative Skills
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Fulltext results:

Mathematics 10 (Science Group) @matric
144 Hits, Last modified: 5 months ago
~~NOTOC~~ ====== Mathematics 10 (Science Group) ====== {{ :matric:matric-science-10th-ptb-cover.jpg?nolink&600x315|Matric Science 10th Book Cover}} The notes/solutions, definitions, MCQs and important question for Mathematics 10 (Science Group), published by Ilmi Kitab Khana, U
Khuram Ali Khan
113 Hits, Last modified: 5 months ago
ns and Related Results, J. Inequal. Appl., Vol. 2010, 16 pages, (Published on October 18, 2010), Impact Factor 0.879. ([[http://www.journalofinequalitiesandapplications.com/content/2010/1/289730|Link]]) - Laszlo Horvath, Khuram Ali K... y 2014) Impact Factor 0.877. ([[http://dx.doi.org/10.1155/2014/375890|Link]]) - Khuram Ali Khan, Jos
Chapter 10: Higher Order Linear Differential Equations @bsc:notes_of_mathematical_method
81 Hits, Last modified: 5 months ago
====== Chapter 10: Higher Order Linear Differential Equations ====== Notes of the book Mathematical Me... e="Notes by Shariq Mehtab Syed:"> * **Exercise 10.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations:Viewer?f=ch10/Chap-10-Solutions-Ex-10-1-Method|View online]] |
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol
63 Hits, Last modified: 5 months ago
===== Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) ===== This is a t... <accordion><panel type="default" title="Exercise 10.1 (Solutions)"> * [[fsc-part1-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[fsc-part1-kpk:so
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol
63 Hits, Last modified: 5 months ago
===== Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) ===== This is a t... d cosines) <panel type="default" title="Exercise 10.1 (Solutions)"> * [[math-11-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[math-11-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[math-11-kpk:sol:un
Chapter 10: Viewer @bsc:notes_of_mathematical_method:ch10_higher_order_linear_differential_equations
53 Hits, Last modified: 5 months ago
====== Chapter 10: Viewer ====== Notes of Chapter 10: Higher Order Linear Differential Equations of Mathematical Method... is the list of all available exercise of Chapter 10 ==== **Shariq Mehtab Syed** * [[:BSc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations :Viewe
Amir Shehzad @people
50 Hits, Last modified: 5 months ago
=== ====9th (Science) (PTB)==== * Unit 04 (10th Science PTB) | VIEW [[:matric:10th_science:unit04:viewer?f=10th-science-unit04-ptb-amir-shehzad|View Online]] | {{ :matric:10th_science:10th-science-unit04-ptb-amir-shehzad.pd
Exercise 2.6 (Solutions) @matric:9th_science:unit_02
45 Hits, Last modified: 5 months ago
dot\sqrt{-3} = 3$\\ (ii) $i^{73}=-i$\\ (iii) $i^{10} = -1$\\ (iv) Complex conjugate of $(-6i + i^2) ... (ii) $$\begin{array}{cl} 2(5+4i)-3(7+4i) &= 10+8i-21-12i\\ &= 10-21+8i-12i\\ &= -11-4i \end{array}$$ (iii) $$\begin{array}{cl} -(-3+5i)-(4+... = 2(3-2i)-2i(3-2i)\\ &= 6-4i-6i+4i^2\\ &= 6-10i+4(-1)\\ &= 6-4-10i\\ &= 2-10i \end{array}$
MTH104: Calculus & Analytical Geometry @atiq
40 Hits, Last modified: 5 months ago
====== MTH104: Calculus & Analytical Geometry ====== {{ :atiq:fa24-mth104.jpg?nolink|MTH104: Calculus & Analytical Geometry}} ===== Course Objectives ===== The main objective... smartphone. * **Lecture 1** | {{:atiq:fa24-mth104-lec01.pdf |Download PDF}} | VIEW [[:atiq:fa24-mt
Question 4, Exercise 1.3 @math-11-nbf:sol:unit01
40 Hits, Last modified: 5 months ago
i}\\ &=\dfrac{9-5-5i-9i}{81+25}\\ &=\dfrac{4-14i}{106}\\ &=\dfrac{2}{53}-\dfrac{7}{53}i\end{align} Put... =\dfrac{1}{53}\dfrac{155+145i}{2}\\ &=\dfrac{155}{106}+\dfrac{145}{106}i\end{align} Thus, we have $$z=\dfrac{155}{106}+\dfrac{145}{106}i, \omega=\dfrac{2}{53}-\dfrac{7}{53
Question 12 Exercise 7.1 @math-11-kpk:sol:unit07
35 Hits, Last modified: 5 months ago
===== Show by mathematical induction that $\dfrac{10^{n+1}-9 n-10}{81}$ is an integer. ====Solution==== 1. For $n=1$ then \begin{align}\dfrac{10^{n+1}-9 n-10}{81}&=\dfrac{10^{i+1}-9.1-10}{81} \\ & =\dfrac{100-9-10}{81}=1 \in \mathbb{Z}\end{align}
Chapter 10: Trigonometric Identities @fsc:fsc_part_1_solutions
31 Hits, Last modified: 5 months ago
====== Chapter 10: Trigonometric Identities ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-10-ptb.jpg?nolink|Chapter 10: Trigonometric Identities}} Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra a
Exercise 6.1 @matric:9th_science
27 Hits, Last modified: 5 months ago
ns.\\ (i) $39x^7y^3z$ and $91x^5y^6 z^7$ \\ (ii) $102xy^2z$, $85x^2yz$ and $187xyz^2$ \\ **Solution:*... mes x^5 y^6 z^7$\\ H.C.F = $13 x^5y^3z$ \\ (ii) $102xy^2z=2\times 3\times 17 xy^2z$\\ $85x^2yz=3\tim... ization.\\ (i) $39x^7y^3z$, $91x^5y^6z^7$ \\ (ii)$102xy^2z$, $85x^2yz$ , $187xyz^2$ **Solution:**\\ ... =273 x^7y^6z^7 \end{align}$ (ii) $\begin{align} 102xy^2z &=2 \times 3 \times 17 xyyz\end{align}$\\ $
Question 29 and 30, Exercise 4.7 @math-11-nbf:sol:unit04
26 Hits, Last modified: 5 months ago
nd sum to infinity of the series: $$1+4 x+7 x^{2}+10 x^{3}+\ldots$$ ** Solution. ** The given arithmetic-geometric series is:\\ \[ 1 + 4x + 7x^2 + 10x^3 + \ldots \] It can be rewritten as:\\ \[ 1 \times 1 + 4 \times x + 7 \times x^2 + 10 \times x^3 + \ldots \] The numbers \(1, 4, 7, 10, \ldots\) are in AP with \(a = 1\) and \(d = 4 - 1
Umer Asghar @people
24 Hits, Last modified: 5 months ago
od-Umer-Asghar.pdf|Download PDF}} * **Exercise 10.1 (BSc Mathematical Method)** | VIEW [[:BSc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations:Viewer?f=ch10/Chap-10-Solutions-Ex-10-1-Method-Umer-Asghar|View online]] | [[pdf>files/bsc/method/dn.php?file=ch10/
Ch 10: Trigonometric Identities: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch10
20 Hits, Last modified: 5 months ago
Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10, Exercise 1.2 @math-11-nbf:sol:unit01
20 Hits, Last modified: 5 months ago
B-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
19 Hits, Last modified: 5 months ago
View Online (Solutions of Chapter 10) @fsc:fsc_part_1_solutions:ch10
19 Hits, Last modified: 5 months ago
Question 13 & 14 Exercise 4.5 @math-11-kpk:sol:unit04
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Atiq ur Rehman, PhD
18 Hits, Last modified: 5 months ago
Unit 02: Theory of Quadratic Equations: Online View @matric:10th_science
18 Hits, Last modified: 5 months ago
Question 5 and 6, Exercise 4.1 @math-11-nbf:sol:unit04
18 Hits, Last modified: 5 months ago
Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1(i, ii, iii & iv) Exercise 8.3 @math-11-nbf:sol:unit08
17 Hits, Last modified: 5 months ago
Unit 03: Variations: Online View @matric:10th_science
16 Hits, Last modified: 5 months ago
Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
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Unit 03: Variations: Online View @matric:10th_science:unit03
16 Hits, Last modified: 5 months ago
Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
15 Hits, Last modified: 5 months ago
Syllabus for UoS (Private only) @msc:syllabus
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University of Sargodha (Old Papers): BSc (Mathematics only) @papers:old_papers_for_bsc_mathematics
14 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Key to MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi
14 Hits, Last modified: 5 months ago
Ch 10: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
14 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 10, Exercise 1.4 @math-11-nbf:sol:unit01
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Mathematics 9 (Science Group) @matric
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Unit 04: Sequences and Seeries @math-11-nbf:sol
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Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
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MATH-505: Complex Analysis @atiq
12 Hits, Last modified: 5 months ago
MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
12 Hits, Last modified: 5 months ago
General Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
12 Hits, Last modified: 5 months ago
Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 8 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 8, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 6, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 1 and 2, Exercise 4.1 @math-11-nbf:sol:unit04
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Exercise 2.1 (Solutions) @matric:9th_science:unit_02
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Unit 02: Theory of Quadratic Equations: Online View @matric:10th_science:unit02
12 Hits, Last modified: 5 months ago
MATH-510: Topology @atiq
11 Hits, Last modified: 5 months ago
Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
11 Hits, Last modified: 5 months ago
University of the Punjab, Lahore (Old Papers) @papers:old_papers_for_bsc_mathematics
11 Hits, Last modified: 5 months ago
Question 9 and 10, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 2 and 3, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 1 Review Exercise 5 @math-11-kpk:sol:unit05
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Question 4 Review Exercise @math-11-kpk:sol:unit05
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 2 and 3, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 5, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 9 and 10, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 1 and 2, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 10, Exercise 8.1 @math-11-nbf:sol:unit08
11 Hits, Last modified: 5 months ago
Unit 01: Quadratic Equations: Online View @matric:10th_science
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Unit 04: Partial Fractions: Online View @matric:10th_science
10 Hits, Last modified: 5 months ago
Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 11 Exercise 4.2 @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 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 3 and 4, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 1 and 2, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 1 and 2, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 10(vi-x), Review Exercise @math-11-nbf:sol:unit09
10 Hits, Last modified: 5 months ago
Unit 01: Quadratic Equations: Online View @matric:10th_science:unit01
10 Hits, Last modified: 5 months ago
Unit 04: Partial Fractions: Online View @matric:10th_science:unit04
10 Hits, Last modified: 5 months ago
Is it difficult to answer? 1−−−0.999… @dyk
9 Hits, Last modified: 5 months ago
Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
9 Hits, Last modified: 5 months ago
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Question 16 & 17, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 2 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 7 and 8, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 11 and 12, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 17, 18 and 19, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 1,Review Exercise @math-11-nbf:sol:unit09
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Chapter 06: Sequences and Series @fsc:fsc_part_1_solutions
8 Hits, Last modified: 5 months ago
Topology: Short Questions and MCQs @msc:mcqs_short_questions
8 Hits, Last modified: 5 months ago
Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question11 and 12, 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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Ch 09: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Question 1 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 8, 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 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 4, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 7 and 8, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 10, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 2(i, ii, iii, iv and v) Exercise 8.3 @math-11-nbf:sol:unit08
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Question 3(xi, xii & xiii) Exercise 8.3 @math-11-nbf:sol:unit08
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Question 10(i-v), Review Exercise @math-11-nbf:sol:unit09
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Question 10(xi-xv), Review Exercise @math-11-nbf:sol:unit09
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Unit 05: Sets and Functions: Online View @matric:10th_science:unit05
8 Hits, Last modified: 5 months ago
Unit 06: Basic Statistics: Online View @matric:10th_science:unit06
8 Hits, Last modified: 5 months ago
View Online: General Mathematics @papers:old_papers_for_bsc_mathematics:sargodha_university
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International Conference on Mathematical Inequalities and Application 2010, ASSMS, Lahore (7-13 March 2010) @conferences
7 Hits, Last modified: 5 months ago
MCQs: Math 11 NBF @math-11-nbf
7 Hits, Last modified: 5 months ago
PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
7 Hits, Last modified: 5 months ago
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
7 Hits, Last modified: 5 months ago
Unit 02: Differentiation @fsc:fsc_part_2_solutions
7 Hits, Last modified: 5 months ago
Unit 07: Mathmatical Induction and Binomial Theorem (Solutions) @math-11-kpk:sol
7 Hits, Last modified: 5 months ago
Review exercise @matric:9th_science
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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 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 4 and 5, 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 2, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 4 & 5, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 6 & 7, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 6 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 3 Exercise 5.3 @math-11-kpk:sol:unit05
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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 2, 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 2, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 4 & 5, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 6 & 7, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 6(i-ix), Exercise 1.4 @math-11-nbf:sol:unit01
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Question 1, Review Exercise @math-11-nbf:sol:unit01
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Question 7 & 8 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 2 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 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 13, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 8, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 3, Review Exercise @math-11-nbf:sol:unit01
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Question 1, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 3 and 4, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 8 and 9, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 8 & 9, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 7 & 8 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 1, Exercise 10.1 @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 1, 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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Question 8 & 9, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 9, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 17 and 18, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 14 and 15, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 10 and 11, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 26 and 27, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 1 and 2, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 1 and 2, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 10, Review Exercise @math-11-nbf:sol:unit08
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MathCraft
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MTH103: Exploring Quantitative Skills @atiq
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MCQs by Nauman Idrees @fsc:fsc_part_1_mcqs
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Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol
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Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
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Ch 06: Sequences and Series: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch06
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Unit 02: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch02
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Question 8, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 10, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 11, 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 2, 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 10 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 1 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 2 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 10 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 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 4, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 21 and 22, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 15 and 16, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 5.2 @math-11-nbf:sol:unit05
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Question 1, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 7, Review Exercise @math-11-nbf:sol:unit08
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Question 10, Exercise 9.1 @math-11-nbf:sol:unit09
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View Online: B-Course of Mathematics @papers:old_papers_for_bsc_mathematics:sargodha_university
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Home
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Chapter 08: Analytic Geometry of Three Dimensions @bsc:notes_of_calculus_with_analytic_geometry
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Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
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Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch13
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Unit 03: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 06: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 07: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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View Online (Solutions of Unit 02) @fsc:fsc_part_2_solutions:ch02
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Unit 06: Conic Section: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch06
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 9 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.3 @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 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 9 Exercise 6.5 @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 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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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 7 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 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 9 and 10 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 2, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 6, Review Exercise @math-11-nbf:sol:unit01
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Question 9, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 11, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 1, Review Exercise @math-11-nbf:sol:unit02
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Question 2, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 20, 21 and 22, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 25 and 26, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 14 and 15, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 24 and 25, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 19 and 20, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 19 and 20, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 4 and 5, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 2 & 3, Review Exercise @math-11-nbf:sol:unit05
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Question 4 & 5, Review Exercise @math-11-nbf:sol:unit05
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Question 3, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 4 Exercise 8.2 @math-11-nbf:sol:unit08
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Question 1, Review Exercise @math-11-nbf:sol:unit08
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View Online: A-Course of Mathematics @papers:old_papers_for_bsc_mathematics:sargodha_university
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MATH 102: Calculus II @atiq
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MTH424: Convex Analysis (Fall 2020) @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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MATH 103: Number Theory @atiq
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MATH-731: Convex Analysis @atiq
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MTH211: Discrete Mathematics (Spring 2022) @atiq
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MTH322: Real Analysis II (Spring 2023) @atiq
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Notes of Mathematical Method @bsc
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1st UMT National Conference on Pure and Applied Mathematics, Lahore (7-8 March, 2015) @conferences
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1st LGU National Conference on Pure and Applied Mathematics (17-18 May 2017) @conferences
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1st National Conference on Pure and Applied Mathematics UoS Sargodha (04-05 May 2017) @conferences
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3rd National Conference on Mathematical Sciences, IIU, Islamabad (27-28 April 2017) @conferences
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6th World Conference on 21st Century Mathematics 2013, ASSMS, Lahore (6-9 March 2013) @conferences
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12th International Pure Mathematics Conference 2011, Islamabad (29-31 July, 2011) @conferences
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15th International Pure Mathematics Conference 2014, Islamabad (28-30 August, 2014) @conferences
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18th International Pure Mathematics Conference 2017, Islamabad (4-6 August 2017) @conferences
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International Conference on Differential Equations and Applications, LUMS Lahore (May 26-28 2016) @conferences
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International Conference on Computing and Mathematical Sciences, IBA Sukkur (February 25-26, 2017) @conferences
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International Conference on Mathematics and Its Applications GCU Lahore, Pakistan (November 13-15, 2017) @conferences
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International Conference on Recent Advances in Applied Mathematics, CIIT, Lahore (Dec 17-18, 2015) @conferences
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One Day International Symposia on Pure and Applied Mathematics UoS Sargodha (January 27, 2014) @conferences
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Second Conference on Mathematical Sciences (SCMS-2013), International Islamic University, Islamabad, Pakistan (1-2 November 2013) @conferences
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Workshop on Modern Aspects of Algebra and Graph Theory, CIIT Lahore (March 27-28, 2015) @conferences
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5th International Conference on Pure and Applied Mathematics, UoS Sargodha (24-25 February 2020) @events
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22nd International Pure Mathematics Conference on Algebra, Analysis and Geometry (23 to 25 August 2021) @events
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Mathematics Olympiad 2019 Sukkur IBA (11-13 November 2019) @events
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Pakistan Mathematics Competitions (PMC) 2022 (1-3 April 2022) @events
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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Important Questions: HSSC-I @fsc-part1-ptb
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Multiple Choice Questions (MCQs) @fsc-part1-ptb
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FSc Part 1 Mathematics Notes/Solutions @fsc-part1-ptb
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FSc Part 1 Model Papers @fsc
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FSc Part 1 Mathematics Notes/Solutions @fsc
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Google DOC Viewer @home
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Definitions: FSc Part1 KPK @math-11-kpk
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Solutions: Math 11 KPK @math-11-kpk
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Algebraic Number Theory Notes by Anwar Khan @notes
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Multivariable Calculus by Sheikh Muhammad Saleem Shahzad @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Topology: Handwritten Notes @notes
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Iqra Liaqat @people
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Examples for the Wrap Plugin @playground
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What is Mathematics? @atiq:math-608
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Chapter 02: The Derivative @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 01: Complex Numbers @bsc:notes_of_mathematical_method
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Introduction to Mechanics @bsc:notes_of_mechanics
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Syllabus/Model Papers for Sargodha University @bsc:paper_pattern
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Ch 02: Functions and Groups @fsc-part1-ptb:important-questions
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Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
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Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
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Ch 11: Trigonometric Functions and Their Graphs @fsc-part1-ptb:important-questions
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Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions
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Unit 07: Vectors @fsc-part2-ptb:important-questions
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MCQs-Short Questions by Mr Parvez Khan @fsc:fsc_part_1_mcqs
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DOC Viewer @fsc:fsc_part_1_model_papers
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Chapter 07: Permutation, Combination and Probability @fsc:fsc_part_1_solutions
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Chapter 12: Application of Trigonometry @fsc:fsc_part_1_solutions
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Chapter 13: Inverse Trigonometric Functions @fsc:fsc_part_1_solutions
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DOC Viewer: FSc Part 1 Solutions @fsc:fsc_part_1_solutions
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MCQs-Short Questions by Mr. Parvez Khan @fsc:fsc_part_2_mcqs
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Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_2_mcqs
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 07: Vectors @fsc:fsc_part_2_solutions
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DOC Viewer @fsc:fsc_part_2_solutions
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Unit 05: Polynomials @math-11-nbf:sol
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Exercise 6.2 @matric:9th_science
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Normed Spaces: Short Questions and MCQs @msc:mcqs_short_questions
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Targets @msc:notes
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Applied Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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Pure Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 2 & 3, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Ch 01: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 03: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 04: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 05: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 06: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 07: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 08: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 11: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 12: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 13: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 14: Key @fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees
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Ch 12: Application of Trigonometry: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch12
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View Online (Solutions of Chapter 12) @fsc:fsc_part_1_solutions:ch12
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View Online (Solutions of Chapter 14) @fsc:fsc_part_1_solutions:ch14
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Unit 01: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 02: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 03: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 04: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 05: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 06: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 07: Key @fsc:fsc_part_2_mcqs:mcqs_by_muhammad_imran_qureshi
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Unit 01: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 02: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 04: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 05: Key @fsc:fsc_part_2_mcqs:mcqs_by_nauman_idrees
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Unit 03: Differentiation: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch03
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View Online (Solutions of Unit 04) @fsc:fsc_part_2_solutions:ch04
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View Online (Solutions of Unit 06) @fsc:fsc_part_2_solutions:ch06
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 2 & 3, Review Exercise 1 @math-11-kpk:sol:unit01
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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 11, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 7, 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 1, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 3 & 4, 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 11, 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 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 1 & 2 Exercise 3.5 @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 4.1 @math-11-kpk:sol:unit04
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Question 9 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 15 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 7 & 8 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 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 7 & 8 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 4 & 5 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 4 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 9 Review Exercise @math-11-kpk:sol:unit05
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 1 and 2 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 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 and 6 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 12 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 11 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 3, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 3, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 6(x-xvii), Exercise 1.4 @math-11-nbf:sol:unit01
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Question 9, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 7 and 8, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 2 and 3, Review Exercise @math-11-nbf:sol:unit02
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Question 11 and 12, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 3 and 4, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 13, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 11 and 12, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 23 and 24, Exercise 4.3 @math-11-nbf:sol:unit04
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Question 12 and 13, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 18 and 19, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 22 and 23, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 11, 12 and 13, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 16, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 11, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 11, 12 and 13, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 3 and 4, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 8 and 9, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 1, Review Exercise @math-11-nbf:sol:unit05
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Question 9, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 11, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 12, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 8(x, xi & xii) Exercise 8.2 @math-11-nbf:sol:unit08
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Question 8(xvi, xvii & xviii) Exercise 8.2 @math-11-nbf:sol:unit08
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Question 4 Exercise 8.3 @math-11-nbf:sol:unit08
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Question 9, Review Exercise @math-11-nbf:sol:unit08
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Question 7 & 8, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 9, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 9, Review Exercise @math-11-nbf:sol:unit09
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Preparation Guide @msc:syllabus:uos
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