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Unit 04: Sequence and Series (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit04:ex4-1-p2|Question 3 &4 ]] * [[math-11-kpk:sol:unit04:ex4-1-p3|Question 5]] * [[math-11-kpk:sol:unit04:ex4-1-p4|Question 6
Unit 07: Mathmatical Induction and Binomial Theorem (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit07:ex7-1-p1|Question 1]] * [[math-11-kpk:sol:unit07:ex7-1-p2|Question 2 ]] * [[math-11-kpk:sol:unit07:ex7-1-p3|Question 3]] * [[math-11-kpk:sol:unit07:ex7-1-p4|Question 4]]
Unit 06: Permutation, Combination and Probability (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit06:ex6-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-1-p2|Question 3 & 4 ]] * [[math-11-kpk:sol:unit06:ex6-1-p3|Question 5]] </panel> <panel type="default" title="Exercise
Unit 03: Vectors (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit03:ex3-2-p1|Question 1]] * [[math-11-kpk:sol:unit03:ex3-2-p2|Question 2]] * [[math-11-kpk:sol:unit03:ex3-2-p3|Question 3 & 4]] * [[math-11-kpk:sol:unit03:ex3-2-p4|Question 5
Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_1_mcqs
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====== Short Questions by Mr. Akhtar Abbas ====== * We are very thankful to **Mr. [[people:akhtar]]** for sharing these short questions. * These short questions are selected from previous 5 years papers of different boards. Solve these at y... nnual exams. * Recommended book for these short questions is "Text Book of Algebra and Trigonometry Class
Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-kpk:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-kpk:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-kpk:sol:unit02:ex2-1-p4|Question 4]]
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... tions)"> * [[fsc-part1-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[fsc-part1-kpk:sol:unit10:ex10-1-p4|Questi
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... lutions)"> * [[math-11-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[math-11-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[math-11-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[math-11-kpk:sol:unit10:ex10-1-p4|Question 4
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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ble at MathCity.org <grid><col sm="6"> <panel> **Question 1** Verify the addition properties of complex num... left( w+v\right)\nonumber \] </panel> <panel> **Question 2** Verify the multiplication properties of the complex numbers. </panel> <panel> **Question 3** Verify the distributive law of complex numbers. </panel> <panel> **Question 4(i)** Simplify: $i^9$ **Solutions** $i^9$ $=
Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... utions)"> * [[fsc-part1-kpk:sol:unit01:ex1-1-p1|Question 1]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p2|Question 2-3]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p3|Question 4]] * [[fsc-part1-kpk:sol:unit01:ex1-1-p4|Question
Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-kpk:sol:unit01:ex1-1-p2|Question 2-3]] * [[math-11-kpk:sol:unit01:ex1-1-p3|Question 4]] * [[math-11-kpk:sol:unit01:ex1-1-p4|Question 5]]
Question 3 Exercise 6.4 @math-11-kpk:sol:unit06
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====== Question 3 Exercise 6.4 ====== Solutions of Question 3 of Exercise 6.4 of Unit 06: Permutation, Combination and Prob... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3(a)===== A true or false test contains eight questions. If a student guesses the answer for each question,
Unit 05: Miscellaneous Series (Solutions) @math-11-kpk:sol
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n this page we have provided the solutions of the questions. After reading this unit the students will be a... olutions)"> * [[math-11-kpk:sol:unit05:ex5-1-p1|Question 1]] * [[math-11-kpk:sol:unit05:ex5-1-p2|Question 2 & 3 ]] * [[math-11-kpk:sol:unit05:ex5-1-p3|Question 4 & 5]] * [[math-11-kpk:sol:unit05:ex5-1-p4|Quest
Important Questions: HSSC-I @fsc-part1-ptb
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====== Important Questions: HSSC-I ====== {{ :fsc-part1-ptb:important-questions-fsc-1.jpg?nolink|Important Questions FSc/ICS Part 1}} These are the important questions for "Textbook of Algebra and Trigonometry Class XI" pub
Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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====== Question 7, Exercise 10.2 ====== Solutions of Question 7 of Exercise 10.2 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Prove the identity ${{\cos }^{4}}\theta... =\dfrac{1}{\sec 2\theta }=R.H.S.\end{align} =====Question 7(ii)===== Prove the identity $\tan \dfrac{\theta
Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 6.2 @matric:9th_science
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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MTH321: Real Analysis I (Spring 2023) @atiq
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Important Questions: HSSC-II @fsc-part2-ptb
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Question 1 and 2 Exercise 4.1 @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 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Review exercise @matric:9th_science
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Question 7, Exercise 1.2 @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 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.4 @math-11-kpk:sol:unit06
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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 6, Exercise 10.2 @math-11-kpk:sol:unit10
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MTH322: Real Analysis II (Spring 2023) @atiq
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Exercise 6.1 @matric:9th_science
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Question 8, Exercise 1.2 @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 3.2 @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 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 and 2 Exercise 6.2 @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 2 & 3, 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 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 3, 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 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 2 & 3, 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 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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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 2, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 2, 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 2 and 3 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 5 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 8 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 4 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 1 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 8 Review Exercise @math-11-kpk:sol:unit05
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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 1 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 9 Exercise 6.5 @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 3, 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 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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MATH-510: Topology @atiq
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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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Question 1, 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 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 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 1.3 @fsc-part1-kpk:sol:unit01
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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 13, 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 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 1, 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 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 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 1.3 @math-11-kpk:sol:unit01
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Question 1, 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 5 & 6, Exercise 2.1 @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 13, 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 1, 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 4 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 7 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 1 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 5.3 @math-11-kpk:sol:unit05
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Question 3 and 4 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 6.3 @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 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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Question 5 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, 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 13, 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 8 and 9, 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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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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MTH322: Real Analysis II (Spring 2019) @atiq
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Pure Mathematics @bsc:paper_pattern:sargodha_university
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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 6, 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 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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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 3, 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 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 6, 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 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 12, 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 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 3, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 3 & 4, 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 9 & 10, 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 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 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 3 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 3 & 4 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 2 & 3 Review Exercise 3 @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 6 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 3 and 4 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 14 Exercise 4.2 @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 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 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 2 & 3 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 9 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 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 13 & 14 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 2 & 3 Exercise 5.2 @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 2 & 3 Review Exercise @math-11-kpk:sol:unit05
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Question 5 & 6 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 9 Review Exercise @math-11-kpk:sol:unit05
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Question 5 and 6 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 1 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 2 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 1 and 2 Exercise 6.5 @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 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 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 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 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 3, 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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Exercise 2.1 (Solutions) @matric:9th_science:unit_02
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Short Term Preparation FSc 1 @fsc-part1-ptb
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Short Term Preparation FSc 2 @fsc-part2-ptb
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MCQs and Short Questions @msc
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 2, 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 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 2, 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 2, 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 7, 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 13, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 3, 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 12 & 13, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 5 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 6 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 10 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 1 and 2 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 10 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 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 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 10 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 3 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 6 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 4 & 5 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 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 4 Review Exercise @math-11-kpk:sol:unit05
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 9 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 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 2 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 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 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 10 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 6 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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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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MTH322: Real Analysis II (Fall 2016) @atiq
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MTH321: Real Analysis I (Fall 2021) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH321: Real Analysis I (Spring 2020) @atiq
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MCQs/Objective: HSSC-I @fsc
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MCQs/Objective: HSSC-II @fsc
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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Chapter 05: Partial Fractions @fsc:fsc_part_1_solutions
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Question 1, Exercise 1.2 @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, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 1.2 @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 2.2 @math-11-kpk:sol:unit02
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Question 19, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 1 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 17 Exercise 4.2 @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 & 3 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 1 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 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 10 Review Exercise @math-11-kpk:sol:unit05
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Question 4 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 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 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 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 10 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 11 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 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 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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Exercise 2.5 (Solutions) @matric:9th_science:unit_02
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Exercise 11.1 (Solutions) @matric:9th_science:unit11
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FSc/ICS Part 1 (Mathematics): PTB
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FSc/ICS Part 2 (Mathematics): PTB
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MTH322: Real Analysis II (Fall 2017) @atiq
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MATH-510: Topology @atiq
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MTH322: Real Analysis II (Spring 2016) @atiq
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Mathematics 9 (Science Group) @matric
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Quotes for the April @quote-of-the-day
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MCQs or Short Questions @atiq:sp15-mth321
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Exercise 4.1 @matric:9th_science
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Syllabus for UoS (Private only) @msc:syllabus
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Question 5 Exercise 6.1 @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 Review Exercise 6 @math-11-kpk:sol:unit06
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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 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 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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Exercise 2.2 (Solutions) @matric:9th_science:unit_02
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Exercise 2.3 (Solutions) @matric:9th_science:unit_02
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Exercise 2.4 (Solutions) @matric:9th_science:unit_02
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BS/MSc
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Tests by Mobeen Munir @bsc
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Multiple Choice Questions (MCQs) @fsc-part1-ptb
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Real Analysis Notes by Prof Syed Gul Shah @notes
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Muhammad Fiaz Hussain @people
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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Unit 03: Integration @fsc-part2-ptb:important-questions
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Unit 07: Vectors @fsc-part2-ptb:important-questions
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FSc
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Notes of Mathematics
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Participate
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MTH321: Real Analysis I (Fall 2019) @atiq
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MTH611: Integral Inequalities (Fall 2019) @atiq
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MTH424: Convex Analysis (Fall 2020) @atiq
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MTH322: Real Analysis II (Fall 2021) @atiq
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MTH321: Real Analysis I (Fall 2022) @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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MATH-608: History of Mathematics @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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What is the value of pi? @dyk
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Is it difficult to answer? 1−−−0.999… @dyk
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Important Questions @fsc-part1-kpk
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Multiple Choice Questions (MCQs) @fsc-part1-kpk
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Solution & Area of Oblique Triangle @fsc
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Important Questions @math-11-kpk
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Multiple Choice Questions (MCQs) @math-11-kpk
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Mathematics 10 (Science Group) @matric
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Computing Tools for Mathematics by Asif Arshad @notes
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Iqra Liaqat @people
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Kaushef Salamat @people
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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Quotes for the May @quote-of-the-day
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DokuWiki @wiki
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Chapter 03: Matrices @bsc:notes_of_mathematical_method
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Unit 07: Vectors @fsc:fsc_part_2_solutions
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Exercise 6.3 @matric:9th_science
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