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Important Questions: HSSC-I @fsc-part1-ptb
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[fsc-part1-ptb:important-questions:ch04-quadratic-equations ]] * [[fsc-part1-ptb:important-questions:ch05-
MathCraft
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file===== We can provide you LaTeX source code of equations and table. ^ Example ^^ ^ Input file ^ Converted
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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ank of the matrix. ===== Chapter 04: Quadratic equations ===== * **Quadratic Equation:** An equation of... adratic Equation. * **Exponential Equation:** Equations in which variable occur in exponents.\\ e.g. $2^x
Atiq ur Rehman, PhD
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**Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and co... functions. Computational Methods for Differential Equations, 8(1) (2020), 119-140. 47. Z. Chen, G. Farid, A.... tions and related results, Advances in Difference Equations, 2020:163, (2020), 1-18. 46. L. N. Mishra, Q. U.... ts in fractional calculus, Advanced in Difference Equations, 2019:152 (2019), 1-13. 44. G. Farid, A. U. Rehm
Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
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rac{1}{4}=2-\frac{3 x^2}{16}$. From the above two equations, we get that $a \cdot b x^2=2-\frac{3 x^2}{16}$ $
Question 4 Review Exercise @math-11-kpk:sol:unit05
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\cdot n$ and constant terms on the both sides of equations, we get $$A+B+C=0 \quad 15 A+6 B-3 C=0$$ $$4 A+8 B-2 C=1$$ Solving these three equations for the constants $A, B$ and $C$ we get $A=\dfra
Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05
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d \text{and}\quad 2 A-B=1$$ Solving the above two equations for $A$ and $B$ we get $$A=\dfrac{1}{3}\quad\tex
Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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B=0 \text { and } A-B=1 $$ Solving the above two equations for $A$ and $B$, we get \begin{align}A&=\dfrac{1}... \text{and} \quad 2 A-B=1$$ Solving the above two equations $$A=\dfrac{1}{3}\quad\text{and} B=-\dfrac{1}{3}$$... d \text{ and} \quad 4 A-5 B=1$$ Solving the above equations for $A$ and $B$ we get $A=\dfrac{1}{9}$ and $B=-
Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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complex numbers. * Solve simultaneous linear equations with complex coefficients. * Write the polyno
Mathematics 10 (Science Group) @matric
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bahadar-ali-khan.pdf }} * {{:matric:quadratic-equations.pdf|Quadratic Equation by Ali Hassan Tahir}} ===... Download PDF ~ 1.5MB}} ====== Unit 01: Quadratic Equations ====== These notes are send by Ms. [[:people:amir... wnload PDF}} ====== Unit 02: Theory of Quadratic Equations ====== These notes are send by Mr. [[:people:amir
Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04
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)^{p-q}.\end{align}\\ Multiplying the above three equations\\ \begin{align}a^{q-r} b^{r-p} c^{p-q}& =(a_1 r^{
Notes of Mathematics
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he real analysis. NEW </well> ===== Differential Equations ===== <well> **[[Notes:Partial-Differential-Equations-M-Usman-Hamid]]** \\ Notes of Partial Differential Equations by Muhammad Usman Hamid. These notes provides a f... s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations a
FSc Part 1 (KPK Boards) @fsc
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ers. * know the solution of simultaneous linear equations with complex co-efficients. * write the polynom... as product of linear factors. * solve quadratic equations in complex variable with real co-efficients. ===... nd rank of a matrix. * solve a system of linear equations of both homogeneous and non-homogeneous equations. === Download === <callout type="success" icon="fa fa-do
Chapter 02: Groups @bsc:notes_of_mathematical_method
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ancellation Law) * Theorem (Solution of Linear Equations ) * Subgroups * Definition ( subgroup )
Fluid Mechanics by Ali Raza @notes
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fluid * Compressible viscous fluid * Euler's equations of motion * Steady laminar flow between two par
Fluid Dynamics I by Muhammad Usman Hamid @notes
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Elementary Linear Algebra by Muhammad Usman Hamid @notes
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Question 5 & 6, Exercise 2.1 @math-11-kpk:sol:unit02
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Question 6, 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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MTH103: Exploring Quantitative Skills @atiq
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Khuram Ali Khan
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Fluid Mechanics II by Dr Rao Muzamal Hussain @notes
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PPSC General Information, Syllabus, Paper Pattern
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Mechanics by Sir Nouman Siddique @notes
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Complex Analysis by M Usman Hamid @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Notes for Numerical Methods by M Usman Hamid @notes
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Numerical Analysis II @notes
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Partial Differential Equations by M Usman Hamid @notes
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Partial Differential Equations by Muzammil Tanveer @notes
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Mechanics I (Statics) by Dr Babar Ahmad @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Notes of Mathematical Method @bsc
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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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MATH-300: Basic Mathematics for Chemist @atiq
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Quotes for the May @quote-of-the-day
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Quotes for the April @quote-of-the-day
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Mathematical Method by Sir Muhammad Awais Aun @notes
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Mathematical Method by Muhammad Usman Hamid @notes
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Functional Analysis by Mr. Tahir Hussain Jaffery @notes
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Functional Analysis by Prof Mumtaz Ahmad @notes
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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Mathematics 9 (Science Group) @matric
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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What is Mathematics? @atiq:math-608
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Umer Asghar @people
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FSc Part 2 (KPK Boards) @fsc
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MTH604: Fixed Point Theory and Applications @atiq
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MTH231: Linear Algebra @atiq
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MATH-305: Real Analysis-I @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MATH 102: Calculus II @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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Mathematics Conferences
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