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Unit 01: Complex Numbers (Solutions)
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===== Unit 01: Complex Numbers (Solutions) ===== {{ :math-11-nbf:sol:math-11-nbf-sol-unit01.jpg?nolink&400x335|Unit 01: Complex Numbers (Solutions)}} This is a first unit of the book Model Textboo... abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... lems. <panel type="default" title="Exercise 1.1 (Solutions)"> * [[math-11-nbf:sol:unit01:ex1-1-p1|Question
Unit 04: Sequences and Seeries
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abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... ries. <panel type="default" title="Exercise 4.1 (Solutions)"> * [[math-11-nbf:sol:unit04:ex4-1-p1|Question... nel> <panel type="default" title="Exercise 4.2 (Solutions)"> * [[math-11-nbf:sol:unit04:ex4-2-p1|Question... anel> <panel type="default" title="Exercise 4.3 (Solutions)"> * [[math-11-nbf:sol:unit04:ex4-3-p1|Question
Unit 02: Matrices and Determinants (Solutions)
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===== Unit 02: Matrices and Determinants (Solutions) ===== This is a second unit of the book Model Textbook ... abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... to <panel type="default" title="Exercise 2.1 (Solutions)"> * [[math-11-nbf:sol:unit02:ex2-1-p1|Question... panel> <panel type="default" title="Exercise 2.2 (Solutions)"> * [[math-11-nbf:sol:unit02:ex2-2-p1|Question
Unit 05: Polynomials
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abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... . <panel type="default" title="Exercise 5.1 (Solutions)"> * [[math-11-nbf:sol:unit05:ex5-1-p1|Question... nel> <panel type="default" title="Exercise 5.2 (Solutions)"> * [[math-11-nbf:sol:unit05:ex5-2-p1|Question... anel> <panel type="default" title="Exercise 5.3 (Solutions)"> * [[math-11-nbf:sol:unit05:ex5-3-p1|Question
Unit 08: Fundamental of Trigonometry
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abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... <panel type="default" title="Exercise 8.1 (Solutions)"> * [[math-11-nbf:sol:unit08:ex8-1-p1|Question... anel> <panel type="default" title="Exercise 8.2 (Solutions)"> * [[math-11-nbf:sol:unit08:ex8-2-p1|Question... anel> <panel type="default" title="Exercise 8.3 (Solutions)"> * [[math-11-nbf:sol:unit08:ex8-3-p1|Question
Unit 09: Trigonometric Functions
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abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit the st... eta$ <panel type="default" title="Exercise 9.1 (Solutions)"> * [[math-11-nbf:sol:unit09:ex9-1-p1|Question... <panel type="default" title="Review Exercise (Solutions)"> * [[math-11-nbf:sol:unit09:Re-ex-p1|Question
Question 1, Exercise 2.6 @math-11-nbf:sol:unit02
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====== Question 1, Exercise 2.6 ====== Solutions of Question 1 of Exercise 2.6 of Unit 02: Matrices and Deter... the different values of $x_3$, there are infinite solutions. Hence solution is; \begin{align*} \left[ \beg... $x_3$, the system has infinitely many non-trivial solutions. =====Question 1(iii)===== Solve the system
Question 7 and 8, Exercise 2.6 @math-11-nbf:sol:unit02
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====== Question 7 and 8, Exercise 2.6 ====== Solutions of Question 7 and 8 of Exercise 2.6 of Unit 02: Matric... align*} x_1&=1\\ x_2&=1\\ x_3&=1 \end{align*} Now solutions of above equations are; $$ \begin{bmatrix} \dfrac... s no solution, unique solution or infinitely many solutions.\\ $x+2 y-3 z=4 ; 3 x-y+5 z=2 ; 4 x+y+\left(\lamb
Question 7, Review Exercise @math-11-nbf:sol:unit01
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====== Question 7, Review Exercise ====== Solutions of Question 7 of Review Exercise of Unit 01: Complex Numb... = \dfrac{11 \pm \sqrt{7}i}{4} \end{align*} So the solutions are: $$z = \dfrac{11 \pm \sqrt{7}i}{4}$$ GOOD ==
Question 1, Review Exercise @math-11-nbf:sol:unit02
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====== Question 1, Review Exercise ====== Solutions of Question 1 of Review Exercise of Unit 02: Matrices and... of non- homogeneous equation having infinite many solutions can be solved by using: * (a) Inversion met
Question 4 and 5, Review Exercise @math-11-nbf:sol:unit02
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====== Question 4 and 5, Review Exercise ====== Solutions of Question 4 and 5 of Review Exercise of Unit 02: ... a$ so that the following system has infinite many solutions.\\ $2 x-3 y+z=1 ; x-2 y+\lambda z=2 ; 3 y+z=-1$
Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
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====== Exercise 6.1 (Solutions) ====== The solutions of the Exercise 6.1 of book “Model Textbook of Mathematics for Class XI” published by
Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
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====== Exercise 6.2 (Solutions) ====== The solutions of the Exercise 6.1 of book “Model Textbook of Mathematics for Class XI” published by
Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
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====== Exercise 6.3 (Solutions) ====== The solutions of the Exercise 6.3 of book “Model Textbook of Mathematics for Class XI” published by
Review Exercise (Solutions) @math-11-nbf:sol:unit06
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====== Review Exercise (Solutions) ====== The solutions of the Review Exercise of book “Model Textbook of Mathematics for Class XI” published
Unit 06: Permutation and Combination
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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 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 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 9 and 10, Exercise 2.6 @math-11-nbf:sol:unit02
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Question 1 and 2, Exercise 4.1 @math-11-nbf:sol:unit04
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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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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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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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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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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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