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Mathematics 1 for FSc ICS (NBF)
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matics for Class XI is published by National Book Foundation (NBF), Islamabad, Pakistan. NBF can be considered... thinking processes by systematically building the foundation of learning from the previous grades. A key empha
Mechanics I (Statics) by Dr Babar Ahmad @notes
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ists such as Galileo, Kepler, and Newton laid the foundation for what is now known as classical mechanics. Hen... e there is an extensive use of mathematics in its foundation. Mechanics is core course for undergraduate Math
Mathematics 9th for Matric (PCTB)
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will explore different topics that build a strong foundation in math. We begin with **Real Numbers**, which in
MTH424: Convex Analysis (Spring 2025) @atiq
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**This course will strengthen your mathematical foundation and problem-solving abilities! 😊** ===== Course
Definitions: Mathematics 11 NBF @math-11-nbf
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matics for Class XI is published by National Book Foundation (NBF), Islamabad, Pakistan. NBF can be considered
MCQs: Math 11 NBF @math-11-nbf
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matics for Class XI is published by National Book Foundation (NBF), Islamabad, Pakistan. NBF can be considered
Solutions: Math 11 NBF @math-11-nbf
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matics for Class XI is published by National Book Foundation (NBF), Islamabad, Pakistan. NBF can be considered
Handwritten Notes of Real Analysis by Asim Marwat @notes
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ke limits and continuity. These concepts form the foundation of calculus and its applications. Real analysis i
Method of Mathematical Physics by Mr. Muhammad Usman Hamid @notes
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luded in this large field. The notes provides a foundation to solve PDE's, ODE's, IE's with special emphasis
Partial Differential Equations (PDE) by M Usman Hamid @notes
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E) by M Usman Hamid ====== The course provides a foundation to solve PDE’s with special emphasis on wave, hea
Quantitative Reasoning-I (Exploring Quantitative Skills) @notes
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meracy and quantitative reasoning, laying a solid foundation for analytical thinking. It explores fundamental
Quotes for the April @quote-of-the-day
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سانڈرز میک لین (1909-2005)**</TEXT> The standard "foundation" for mathematics starts with sets and their eleme
Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol
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thematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakis
Unit 02: Matrices and Determinants (Solutions) @math-11-nbf:sol
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thematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakis
Unit 04: Sequences and Seeries @math-11-nbf:sol
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hematics for Class XI" published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakis
Unit 05: Polynomials @math-11-nbf:sol
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Unit 06: Permutation and Combination @math-11-nbf:sol
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Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
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Unit 09: Trigonometric Functions @math-11-nbf:sol
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Question 1, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 3, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 4, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 5, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 6, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 7, Exercise 1.1 @math-11-nbf:sol:unit01
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Question 1, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 2, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 3, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 4, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 5, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 6, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 7, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 8, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 9, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 10, Exercise 1.2 @math-11-nbf:sol:unit01
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Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 2, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 3, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 4, Exercise 1.3 @math-11-nbf:sol:unit01
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Question 1, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 2, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 3, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 4, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 5, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 6(i-ix), Exercise 1.4 @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 7, Exercise 1.4 @math-11-nbf:sol:unit01
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Question 8, 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 10, 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 2, Review Exercise @math-11-nbf:sol:unit01
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Question 3, Review Exercise @math-11-nbf:sol:unit01
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Question 4, Review Exercise @math-11-nbf:sol:unit01
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Question 5, Review Exercise @math-11-nbf:sol:unit01
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Question 6, Review Exercise @math-11-nbf:sol:unit01
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Question 7, Review Exercise @math-11-nbf:sol:unit01
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Question 8, Review Exercise @math-11-nbf:sol:unit01
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Question 1, Exercise 2.1 @math-11-nbf:sol:unit02
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Question 2, Exercise 2.1 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.1 @math-11-nbf:sol:unit02
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Question 4, Exercise 2.1 @math-11-nbf:sol:unit02
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Question 1, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 4, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 5, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 6, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 7, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 8, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 9, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 10, 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 12, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 13, Exercise 2.2 @math-11-nbf:sol:unit02
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Question 1, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 2, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 4, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 5, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 6, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 7, Exercise 2.3 @math-11-nbf:sol:unit02
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Question 1, Exercise 2.5 @math-11-nbf:sol:unit02
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Question 2, Exercise 2.5 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.5 @math-11-nbf:sol:unit02
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Question 1, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 2, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 3, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 5, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 6, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 7 and 8, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 9 and 10, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 1, Review Exercise @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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Question 3 and 4, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 9 and 10, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 11 and 12, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 13 and 14, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 15 and 16, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 17 and 18, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 19 and 20, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 21 and 22, Exercise 4.1 @math-11-nbf:sol:unit04
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Question 1, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 2, Exercise 4.2 @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 5 and 6, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 7 and 8, Exercise 4.2 @math-11-nbf:sol:unit04
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Question 9 and 10, 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 13, Exercise 4.2 @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 16 and 17, Exercise 4.2 @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 3 and 4, 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 4.3 @math-11-nbf:sol:unit04
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Question 9 and 10, Exercise 4.3 @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 13 and 14, Exercise 4.3 @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 23 and 24, 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 1 and 2, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 3 and 4, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 8 and 9, Exercise 4.4 @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 12 and 13, Exercise 4.4 @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 16 and 17, 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 20 and 21, 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 24 and 25, 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 28 and 29, Exercise 4.4 @math-11-nbf:sol:unit04
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Question 30, 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 3 and 4, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 5 and 6, Exercise 4.5 @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 9 and 10, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 14, Exercise 4.5 @math-11-nbf:sol:unit04
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Question 15, 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 1 and 2, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 3 & 4, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 5 & 6, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 7 & 8, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 9 & 10, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 11, Exercise 4.6 @math-11-nbf:sol:unit04
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Question 12, Exercise 4.6 @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 3 and 4, Exercise 4.7 @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 7 and 8, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 9 and 10, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 17 and 18, 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 19 and 20, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 21 and 22, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 23 and 24, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 25 and 26, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 27 and 28, Exercise 4.7 @math-11-nbf:sol:unit04
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Question 29 and 30, Exercise 4.7 @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 3 and 4, Exercise 4.8 @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 7 and 8, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 9 and 10, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 11 and 12, Exercise 4.8 @math-11-nbf:sol:unit04
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Question 1, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 2 and 3, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 4 and 5, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 6 and 7, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 8 and 9, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 10, Exercise 5.1 @math-11-nbf:sol:unit05
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Question 1 and 2, Exercise 5.2 @math-11-nbf:sol:unit05
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Question 3 and 4, Exercise 5.2 @math-11-nbf:sol:unit05
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Question 5 and 6, Exercise 5.2 @math-11-nbf:sol:unit05
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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 2, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 3, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 4, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 5, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 6, Exercise 5.3 @math-11-nbf:sol:unit05
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Question 2, Review Exercise @math-11-nbf:sol:unit05
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Question 1, Review Exercise @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 6 & 7, Review Exercise @math-11-nbf:sol:unit05
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Question 8, Review Exercise @math-11-nbf:sol:unit05
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Question 6, Review Exercise @math-11-nbf:sol:unit05
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Question 7, Review Exercise @math-11-nbf:sol:unit05
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Question 8, Review Exercise @math-11-nbf:sol:unit05
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Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
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Question 1, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 3 and 4, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 5, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 6(i-v), Exercise 6.1 @math-11-nbf:sol:unit06
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Question 6(vi-ix), Exercise 6.1 @math-11-nbf:sol:unit06
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Question 7(i-vi), Exercise 6.1 @math-11-nbf:sol:unit06
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Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
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Question 1, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 3, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 4 and 5, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 6 and 7, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 8 and 9, Exercise 6.2 @math-11-nbf:sol:unit06
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Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
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Question 1(i-v), Exercise 6.3 @math-11-nbf:sol:unit06
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Question 1(vi-x), Exercise 6.3 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 3, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 4, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 5 and 6, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 7 and 8, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 9 and 10, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 1, Review Exercise 6 @math-11-nbf:sol:unit06
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Review Exercise (Solutions) @math-11-nbf:sol:unit06
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Question 1, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 2, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 3, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 4, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 5 and 6, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 7, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 8, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 9, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 10, 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 13, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 14, Exercise 8.1 @math-11-nbf:sol:unit08
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Question 1, 2 and 3 Exercise 8.2 @math-11-nbf:sol:unit08
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Question 4 Exercise 8.2 @math-11-nbf:sol:unit08
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Question 5 Exercise 8.2 @math-11-nbf:sol:unit08
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Question 6 Exercise 8.2 @math-11-nbf:sol:unit08
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Question 7 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 1, Review Exercise @math-11-nbf:sol:unit08
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Question 2, Review Exercise @math-11-nbf:sol:unit08
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Question 3, Review Exercise @math-11-nbf:sol:unit08
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Question 4, Review Exercise @math-11-nbf:sol:unit08
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Question 7, Review Exercise @math-11-nbf:sol:unit08
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Question 8, Review Exercise @math-11-nbf:sol:unit08
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Question 9, Review Exercise @math-11-nbf:sol:unit08
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Question 10, Review Exercise @math-11-nbf:sol:unit08
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Question 1, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 2, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 3, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 4(i-iv), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 4(v-viii), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 5(i-v), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 5(vi-x), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 6, Exercise 9.1 @math-11-nbf:sol:unit09
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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 10, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 2 and 3,Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 1,Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 7, Review Exercise @math-11-nbf:sol:unit09
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Question 8, Review Exercise @math-11-nbf:sol:unit09
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Question 9, Review Exercise @math-11-nbf:sol:unit09
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