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- FSc Part 1 Mathematics Notes/Solutions @fsc
- ====== FSc Part 1 Mathematics Notes/Solutions ====== {{ :fsc:fsc-math-xi-ptb.jpg?nolink|FSc Part1 PTB Book Cover}} <lead>Notes (Solutions) of Textbook of Algebra and Trigonometry Class X... k and we have work hard to make easy and suitable solution for students and teachers so that it help them le... ily. Please click on a desire chapter to view the solution of any particular exercise. This work is licensed
- Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
- ====== Question 7, Exercise 10.2 ====== Solutions of Question 7 of Exercise 10.2 of Unit 10: Trigonometric I... \sin }^{4}}\theta =\dfrac{1}{\sec 2\theta }$. ====Solution==== \begin{align}L.H.S&={{\cos }^{4}}\theta -{{\s... }\dfrac{\theta }{2}=\dfrac{2}{\sin \theta }$. ====Solution==== \begin{align}L.H.S&=\tan \dfrac{\theta }{2}+c... eta }{1-\cos 2\theta }={{\cot }^{2}}\theta $. ====Solution==== \begin{align}L.H.S&=\dfrac{1+\cos 2\theta }{1
- Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
- ====== Question 7, Exercise 10.2 ====== Solutions of Question 7 of Exercise 10.2 of Unit 10: Trigonometric I... \sin }^{4}}\theta =\dfrac{1}{\sec 2\theta }$. ====Solution==== \begin{align}L.H.S&={{\cos }^{4}}\theta -{{\s... }\dfrac{\theta }{2}=\dfrac{2}{\sin \theta }$. ====Solution==== \begin{align}L.H.S&=\tan \dfrac{\theta }{2}+c... eta }{1-\cos 2\theta }={{\cot }^{2}}\theta $. ====Solution==== \begin{align}L.H.S&=\dfrac{1+\cos 2\theta }{1
- Chapter 02: Groups @bsc:notes_of_mathematical_method
- * Theorem (The Cancellation Law) * Theorem (Solution of Linear Equations ) * Subgroups * Definit... ematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK.pdf|Download PDF]] * **Exer... ematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-2-Method-SAK|View online]] | [[pdf>files/b
- Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
- ====== Question 5, Exercise 1.3 ====== Solutions of Question 5 of Exercise 1.3 of Unit 01: Complex Numbers. ... awar, Pakistan. =====Question 5(i)===== Find the solutions of the equation ${{z}^{2}}+z+3=0$. ====Solution==== Given: $${{z}^{2}}+z+3=0.$$ According to the quadrati... &=\dfrac{-1\pm \sqrt{11}}{2}i\end{align} Thus the solutions of the given equation are $-\dfrac{1}{2}\pm\dfra
- FSc/ICS Part 2 Solutions @fsc
- ====== FSc/ICS Part 2 Solutions ====== {{ :fsc:fsc-math-part2.jpg?nolink|Calculus and Analytic Geometry, MATHEMATICS 12}} <lead>Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS ... k and we have work hard to make easy and suitable solutions for students and teachers so that it help them l... easily. Please click on a desire unit to view the solution of any particular exercise. This work is licensed
- Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
- ====== Question 6, Exercise 1.3 ====== Solutions of Question 6 of Exercise 1.3 of Unit 01: Complex Numbers. ... awar, Pakistan. =====Question 6(i)===== Find the solutions of the equation ${{z}^{4}}+{{z}^{2}}+1=0$. ====Solution==== $$z^4+z^2+1=0$$ $$z^4+2z^2+1-z^2=0$$ $$( z^2... qrt{3}}{2}i$$ =====Question 6(ii)===== Find the solutions of the equation ${{z}^{3}}=-8$. ====Solution====
- Chapter 05: The Definite Integral @bsc:notes_of_calculus_with_analytic_geometry
- :Ch05 The Definite Integral:Viewer?f=ch05/Chap_05_Solutions_Ex_5_1_Calculus|View Online]] | [[pdf>files/bsc/calculus/ch05/dn.php?file=Chap_05_Solutions_Ex_5_1_Calculus.pdf|Download PDF]] (357KB) * ... :Ch05 The Definite Integral:Viewer?f=ch05/Chap_05_Solutions_Ex_5_2_Calculus|View Online]] | [[pdf>files/bsc/calculus/ch05/dn.php?file=Chap_05_Solutions_Ex_5_2_Calculus.pdf|Download PDF]] (325KB) *
- Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
- ====== Question 7 Exercise 6.4 ====== Solutions of Question 7 of Exercise 6.4 of Unit 06: Permutation, Combi... obability of getting doublet of even numbers. ====Solution==== The sample space rolling a pair of dice is \b... probability of getting a sum less than $6$. ====Solution==== The sample space rolling a pair of dice is \b... e probability of getting a sum more than $7.$ ====Solution==== The sample space rolling a pair of dice is \b
- Mathematics 10 (Science Group) @matric
- 00x315|Matric Science 10th Book Cover}} The notes/solutions, definitions, MCQs and important question for Ma... dratic equation by using quadratic formula. ==== Solutions ==== * Exercise 1.1 | VIEW [[:matric:10th_scie... verify the result by solving the equation. ==== Solutions ==== * Exercise 2.2 | VIEW [[:matric:10th_scie... olve real life problems based on variations. ==== Solutions ==== * Exercise 3.1 | VIEW [[:matric:10th_scie
- Chapter 01: Complex Numbers @bsc:notes_of_mathematical_method
- Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-1-Method.pdf|Download PDF]] (471KB) * **... Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-2-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-2-Method.pdf|Download PDF]] (1306KB) * *
- FSc Part 1 (KPK Boards) @fsc
- ated. ^ Author: | Engr. Majid Amin | ^ Type: | Solutions only | ^ Sender: | Muhammad Kareem | ^ Format:... different types of complex numbers. * know the solution of simultaneous linear equations with complex co-... region of simple LP problems. * define optimal solution of an LP problem. * find optimal solution graphically of LP problems. * solve real life simple LP probl
- Operation Research: Handwritten Notes @notes
- jective function 2 * Decision variables 2 * Solution space 2 * Optimum solution 2 * Standard form 2 * Conversion of maximization to minimization 3 * Linear programming formulation and graphical solution 4 <grid> <col sm="6"> * Simplex method (or the general solution technique) 22 * Algorithm 22 * Optimality c
- Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
- ====== Question 5, Exercise 1.3 ====== Solutions of Question 5 of Exercise 1.3 of Unit 01: Complex Numbers. ... awar, Pakistan. =====Question 5(i)===== Find the solutions of the equation ${{z}^{2}}+z+3=0$\\ ====Solution==== ${{z}^{2}}+z+3=0$\\ According to the quadratic formu... 2}i\end{align} =====Question 5(ii)===== Find the solutions of the equation ${{z}^{2}}-1=z$.\\ ====Solution=
- Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
- ====== Question 6, Exercise 1.3 ====== Solutions of Question 6 of Exercise 1.3 of Unit 01: Complex Numbers. ... awar, Pakistan. =====Question 6(i)===== Find the solutions of the equation ${{z}^{4}}+{{z}^{2}}+1=0$\\ ====Solution==== \begin{align}{{z}^{4}}+{{z}^{2}}+1&=0\\ {{z}... }}}\end{align} =====Question 6(ii)===== Find the solutions of the equation ${{z}^{3}}=-8$\\ ====Solution===