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- Symposium on “Computational Complexities, Innovations and Solutions (CCIS)", COMSATS, Abbottabad (10 - 11 May 2010)
- FSc Part 1 Mathematics Notes/Solutions
- Solution and Area of Oblique Triangle
- Solution & Area of Oblique Triangle
- FSc Part 1 Mathematics Notes/Solutions
- FSc/ICS Part 2 Solutions
- Solutions: Math 11 KPK
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
- Unit 1: Complex Numbers (Solutions)
- Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions)
- Ch 14: Solutions of Trigonometric Equation
- Chapter 01: Number System
- Chapter 02: Sets, Functions and Groups
- Chapter 03: Matrices and Determinants
- Chapter 04: Quadratic Equations
- Chapter 05: Partial Fractions
- Chapter 06: Sequences and Series
- Chapter 07: Permutation, Combination and Probability
- Chapter 08: Mathematical Induction and Binomial Theorem
- Chapter 09: Fundamentals of Trigonometry
- Chapter 10: Trigonometric Identities
- Chapter 11: Trigonometric Functions and their Graphs
- Chapter 12: Application of Trigonometry
- Chapter 13: Inverse Trigonometric Functions
- Chapter 14: Solutions of Trigonometric Equation
- DOC Viewer: FSc Part 1 Solutions
- Unit 01: Functions and Limits
- Unit 02: Differentiation
- Unit 03: Integration
- Unit 04: Introduction to Analytic Geometry
- Unit 05: Linear Inequalities and Linear Programming
- Unit 06: Conic Section
- Unit 07: Vectors
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- View Online (Solutions FSc Part 2)
- Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations
- Unit 01: Complex Numbers (Solutions)
- Unit 02: Matrices and Determinants (Solutions)
- Unit 03: Vectors (Solutions)
- Unit 04: Sequence and Series (Solutions)
- Unit 05: Miscellaneous Series (Solutions)
- Unit 06: Permutation, Combination and Probability (Solutions)
- Unit 07: Mathmatical Induction and Binomial Theorem (Solutions)
- Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions)
- Mathematical Method by Khalid Latif Mir (Solutions)
- Theoretical Mechanics by Khalid Latif Mir (Solutions)
- Exercise 1.1 (Solutions)
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- Exercise 2.8 (Solutions)
- Ch 01: Number System: Mathematics FSc Part 1
- View Online (Solutions of Chapter 01)
- Ch 02: Sets, Functions and Groups: Mathematics FSc Part 1
- View Online (Solutions of Chapter 02)
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- View Online (Notes of Chapter 04)
- View Online (Solutions of Chapter 04)
- Ch 05: Partial Fractions: Mathematics FSc Part 1
- View Online (Solutions of Chapter 05)
- Ch 06: Sequences and Series: Mathematics FSc Part 1
- View Online (Solutions of Chapter 06)
- Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1
- View Online (Solutions of Chapter 07)
- Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1
- View Online (Solutions of Chapter 08)
- Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1
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- Ch 10: Trigonometric Identities: Mathematics FSc Part 1
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- Ch 12: Application of Trigonometry: Mathematics FSc Part 1
- View Online (Solutions of Chapter 12)
- Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1
- View Online (Solutions of Chapter 13)
- Ch 14: Solutions of Trigonometric Equation
- View Online (Solutions of Chapter 14)
- View Online (Solutions of Unit 01)
- Unit 02: Differentiation: Mathematics FSc part 2
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- Unit 04: Introduction to Analytic Geometry: Mathematics FSc part 2
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- Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2
- View Online (Solutions of Unit 05)
- Unit 06: Conic Section: Mathematics FSc part 2
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- Unit 07: Vectors: Mathematics FSc part 2
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- Exercise 2.1 (Solutions)
- Exercise 2.2 (Solutions)
- Exercise 2.3 (Solutions)
- Exercise 2.4 (Solutions)
- Exercise 2.5 (Solutions)
- Exercise 2.6 (Solutions)
- Exercise 11.1 (Solutions)
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- FSc/ICS Part 1 (Mathematics): PTB
- view]]** by Mr. Aqeel Nawaz * **[[fsc-part1-ptb:solution-and-area-of-oblique-triangle]]** UPD * **[[FSc:
- FSc/ICS Part 2 Solutions @fsc
- easily. Please click on a desire unit to view the solution of any particular exercise. This work is licensed
- MathCraft
- MathCraft ====== **Introducing “MathCraft”: Your Solution for Document Transformation!** {{ :mathcraft.jpg?
- Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
- +{{i}^{112}}+{{i}^{122}}+{{i}^{153}}=0$. GOOD ====Solution==== \begin{align}L.H.S.&={{i}^{107}}+{{i}^{112}}+... $3\left( 1+2i \right),-2\left( 1-3i \right)$. ====Solution==== \begin{align}& 3\left( 1+2i \right)+-2\left( ... 2}-\dfrac{2}{3}i,\dfrac{1}{4}-\dfrac{1}{3}i$. ====Solution==== \begin{align}&\left( \dfrac{1}{2}-\dfrac{2}{3... sqrt{2},1 \right),\left( 1,\sqrt{2} \right)$. ====Solution==== \begin{align}&\left( \sqrt{2},1 \right)+\left
- Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
- i)===== Simplify ${{i}^{9}}+{{i}^{19}}$. GOOD ====Solution==== \begin{align}{{i}^{9}}+{{i}^{19}}&=i\cdot{{i}... = Simplify ${{\left( -i \right)}^{23}}$. GOOD ====Solution==== \begin{align}{{\left( -i \right)}^{23}}&={{\l... ${{\left( -1 \right)}^{\frac{-23}{2}}}$. GOOD ====Solution==== \begin{align}{{\left( -1 \right)}^{\frac{-23}... ${{\left( -1 \right)}^{\frac{15}{2}}}$. GOOD ====Solution==== \begin{align}{{\left( -1 \right)}^{\frac{15}{
- Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
- ers divisible by $5$ from $25$ to $350$. GOOD ====Solution==== The numbers divisible by $5$ from $25$ tò $35... the sum of their cubes is $6336$ . Find them. ====Solution==== Let us suppose the three numbers are $a-d, a,
- Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
- one that is missing: $a_1=2, n=17, d=3$. GOOD ====Solution==== Given: $a_1=2, n=17, d=3$ \\ We need to find ... that are missing $a_1=-40, S_{21}=210$. GOOD ====Solution==== Given: $a_1=-40$ and $S_{21}=210$.\\ So we ha... that are missing $a_1=-7, d=8, S_n=225$. GOOD ====Solution==== Given: $a_1=-7, d=8, S_n=225$, we have to fin... ne that are missing: $a_n=4, S_{15}=30$. GOOD ====Solution==== Given: $a_n=4, S_{15}=30$.\\ Thus we have $n=
- Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
- $9,7,5,3, \ldots$; 20th term; 20 terms. GOOD ====Solution==== Let $a_1$ be first term and $d$ be common dif... {7}{3}, 2, \ldots$; 11th term; 11 terms. GOOD ====Solution==== Let $a_1$ be first term and $d$ be common dif
- Question 14 Exercise 4.2 @math-11-kpk:sol:unit04
- three arithmetic means between 6 and 41. GOOD ====Solution==== Let $A_1, A_2, A_3$ be three arithmetic means... four arithmetic means between 17 and 32. GOOD ====Solution==== Let $A_1, A_2, A_3, A_4$ be four arithmetic m
- Question 17 Exercise 4.2 @math-11-kpk:sol:unit04
- means is $7: 13$, find the value of $n$. GOOD ====Solution==== Let $A_1, A_2, A_3, \ldots, A_n$ be $n$ arith
- Question 16 Exercise 4.2 @math-11-kpk:sol:unit04
- the arithmetic mean between $5$ and $8$. GOOD ====Solution==== Let $A_1, A_2, A_3, A_4, A_5$ be five arithme
- Question 15 Exercise 4.2 @math-11-kpk:sol:unit04
- here $a$ and $b$ are not zero simultaneously. ====Solution==== Suppose $A$ represents the arithmetic mean be
- Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
- ry during his twenty first year of work? GOOD ====Solution==== Suppose $a_1$ represents salary of worker at ... e arithmetic mean between $12$ and $18$. GOOD ====Solution==== Here $a=12, b=18$.\\ Let say $A$ be arithmeti... an between $\dfrac{1}{3}$ and $\dfrac{1}{4}$. ====Solution==== Here $a=\dfrac{1}{3}, b=\dfrac{1}{4}$,\\ Let ... d the arithmetic mean between $-6,-216$. GOOD ====Solution==== Here $a=-6, b=-216$.\\ Let $A$ be arithmetic
- Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
- they reach the top of a 5400 feet hill? GOOD ====Solution==== Suppose $a_1$ represent the distance climb by
- Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
- 20135, what was its population in 1970? GOOD ====Solution==== Suppose $a_1$ represents the population in 19
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
- Chapter 04: Viewer @bsc:notes_of_calculus_with_analytic_geometry:ch04_techniques_of_integration_farooq