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Unit 01: Complex Numbers (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 02: Matrices and Determinants (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 03: Vectors (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 04: Sequence and Series (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 05: Miscellaneous Series (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 06: Permutation, Combination and Probability (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 07: Mathmatical Induction and Binomial Theorem (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions)
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d by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. On this page we have provided the solutions of t
Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Simplify ${{i}^{9}}+{{i}
Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Prove that ${{i}^{107}}+{{
Question 4, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4(i)===== Subtract the second comp
Question 5, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Multiply the complex num
Question 6, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6(i)===== Perform the indicated di
Question 7, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== If ${{z}_{1}}=1+2i$ and
Question 8, Exercise 1.1 @math-11-kpk:sol:unit01
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htunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Express the $\dfrac{1-2i
Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 9, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 1, Review Exercise 1 @math-11-kpk:sol:unit01
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Question 1, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 5 & 6, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 7, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 8, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 9, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 10, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 11, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 12, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 13, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 1, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 5, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 6, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 7, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 8,9 & 10, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 11, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 12, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 13, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 14 & 15, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 16 & 17, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 18, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 19, Exercise 2.2 @math-11-kpk:sol:unit02
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Question 1, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 2, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 3, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 4, Exercise 2.3 @math-11-kpk:sol:unit02
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Question 1, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 2, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 3 & 4, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 5 & 6, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 9 & 10, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 11, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 1, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 2 and 3 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 4 and 5 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 7 & 8 Exercise 3.3 @math-11-kpk:sol:unit03
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Question 9 & 10, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 11, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 12 & 13, Exercise 3.3 @math-11-kpk:sol:unit03
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Question 1 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 2 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 3 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 4 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 5 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 7 & 8 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 9 Exercise 3.4 @math-11-kpk:sol:unit03
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Question 1 & 2 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 3 & 4 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 7 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 8 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 9 Exercise 3.5 @math-11-kpk:sol:unit03
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Question 1 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 2 & 3 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 4 & 5 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 6 & 7 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 8 & 9 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 10 Review Exercise 3 @math-11-kpk:sol:unit03
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Question 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 3 and 4 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 5 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 6 Exercise 4.1 @math-11-kpk:sol:unit04
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Question 1 and 2 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 3 and 4 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 5 and 6 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 7 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 8 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 9 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 14 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 15 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 16 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 17 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 7 & 8 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 11 & 12 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 2 & 3 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 6 & 7 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 8 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 9 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 10 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 11 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 12 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 2 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 3 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 4 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 1 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 6 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 7 & 8 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 9 Exercise 5.1 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 2 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 3 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 4 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 5 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 6 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 4 Exercise 5.4 @math-11-kpk:sol:unit05
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Question 1 Review Exercise 5 @math-11-kpk:sol:unit05
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Question 2 & 3 Review Exercise @math-11-kpk:sol:unit05
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Question 4 Review Exercise @math-11-kpk:sol:unit05
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Question 5 & 6 Review Exercise @math-11-kpk:sol:unit05
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Question 7 Review Exercise @math-11-kpk:sol:unit05
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Question 8 Review Exercise @math-11-kpk:sol:unit05
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Question 9 Review Exercise @math-11-kpk:sol:unit05
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Question 10 Review Exercise @math-11-kpk:sol:unit05
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Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 1 and 2 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 1 and 2 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 2 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 1 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 15 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 5 and 6 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 2 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 3 & 4 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 11 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.1 @math-11-kpk:sol:unit10
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Question, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 8, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10
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Question11 and 12, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 13, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 4 and 5, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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