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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... nd Differential Equations. This book also lay the foundations for further studies in physics, physical science
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
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
Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad @notes
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Integration. Through a combination of theoretical foundations, practical applications, and numerous examples a
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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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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