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- University of Sargodha, Sargodha (Old Papers) @papers:old_papers_for_msc_mathematics
- sity:i_real_analysis_iia2010_uos.pdf}} ==== PAPER II: Algebra ==== * {{ :papers:old_papers_for_msc_mathematics:sargodha_university:ii_algebra_ia2008_uos.pdf}} * {{ :papers:old_papers_for_msc_mathematics:sargodha_university:ii_algebra_ia2013_uos.pdf}} * {{ :papers:old_papers_for_msc_mathematics:sargodha_university:ii_algebra_ia2014_uos.pdf}} * {{ :papers:old_paper
- Exercise 2.6 (Solutions) @matric:9th_science:unit_02
- e or false. (i) $\sqrt{-3}\cdot\sqrt{-3} = 3$\\ (ii) $i^{73}=-i$\\ (iii) $i^{10} = -1$\\ (iv) Complex conjugate of $(-6i + i^2) is (-1 + 6i)$\\ (v) Diff... f $(a-1)-(b+3)i = 5+8i$, then a = 6 & b = -11\\ (vii) Product of complex number and its conjugate is a... tive real number.\\ **Solution**\\ (i) False (ii) False (iii) True (iv) True (v) False (vi) Tr
- Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE @fsc-part2-ptb
- ====== Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE ====== Old (past) question papers and model papers of mathematics (math) for HSSC-II (FSc Part 2) conducted by Federal Board of Interm... Textbook of Calculus and Analytic Geometry Class XII is published by Punjab Textbook Board (PTB) Lahor
- Papers (Old/Past/Model): FBISE - FSc-II @fsc-part2-ptb:fbise-papers
- ====== Papers (Old/Past/Model): FBISE - FSc-II ====== Old (or Past) Papers or Model Papers help the st... s or model papers of Mathematics FSc Part 2 (HSSC-II) conducted by Federal Board of Intermediate and S... sc-part2-ptb:fbise-papers:view?f=mathematics-hssc-ii-annual-2017-fbise|Mathematics II (Annual 2017) with hints]] * [[:fsc-part2-ptb:fbise-papers:view?f
- University of Gujrat, Gujrat, BSc Old Papers (Mathematics Only) @papers:old_papers_for_bsc_mathematics
- papers_for_bsc_mathematics:a2016-uog-math-a-paper-ii.pdf |Mathematics A Course: Paper II}} ARW {{ :papers:old_papers_for_bsc_mathematics:a2016-uog-math-b... papers_for_bsc_mathematics:a2016-uog-math-b-paper-ii.pdf |Mathematics B Course: Paper II}} =====Year 2015===== ARW {{ :papers:old_papers_for_bsc_mathemat
- Exercise 2.1 (Solutions) @matric:9th_science:unit_02
- rational and irrational numbers: (i) $\sqrt{3}$ (ii) $\frac{1}{6}$ (iii) $\pi$ (iv) $\frac{15}{2}$ (v) $7.25$ (vi)$\sqrt{29}$ **Solution**\\ * Ratio... ion into decimal fraction. (i) $\frac{17}{25}$ (ii) $\frac{19}{4}$ (iii)$\frac{57}{8}$ (iv) $\frac{205}{18}$ (v) $\frac{5}{8}$ (vi) $\frac{25}{38
- Question 9, Exercise 8.1 @math-11-nbf:sol:unit08
- rt{2}}$, $\alpha$ is obtuse angle, i.e. it is in QII.\\ $\cos \beta=-\dfrac{3}{5}$, $\beta$ is obtuse angle, i.e. it is in QII.\\ We have an identity: $$\cos \alpha=\pm \sqrt{1-\sin^2\alpha}.$$ As $\alpha$ lies in QII and $\cos$ is -ive in QII, \begin{align*} \cos\alpha &=-\sqrt{1-\sin^2\alpha}\\ &=-\sqrt{1-{{\left(\
- MATH 102: Calculus II @atiq
- ====== MATH 102: Calculus II ====== ===== Course outline ===== * Techniques of integration * Furt... files/dn.php?file=atiq/cal2/Assignment_1_Calculus_II_BS_(Physics)_II.pdf|Download PDF]] | [[viewer>files/atiq/cal2/Assignment_1_Calculus_II_BS_(Physics)_II|View online]] | |**Assignment 2**
- Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
- * [[math-11-nbf:sol:unit08:ex8-2-p6|Question 8(1, ii & iii) ]] * [[math-11-nbf:sol:unit08:ex8-2-p7|Question 8(iv, v & vi) ]] * [[math-11-nbf:sol:unit08:ex8-2-p8|Question 8(vii, viii & ix) ]] * [[math-11-nbf:sol:unit08:ex8-2-p9|Question 8(x, xi & xii) ]] * [[math-11-nbf:sol
- Question 5 and 6, Exercise 8.1 @math-11-nbf:sol:unit08
- dfrac{5}{12}$ with terminal side of an angles in QII, find $\cos (\alpha+\beta)$ and $\cos (\alpha-\be... iven: $\sin \alpha=\dfrac{4}{5}$, $\alpha$ is in QII and $\tan \beta=-\dfrac{5}{12}$, $\beta$ is in QII. We have an identity: $$\cos \alpha=\pm \sqrt{1-\sin^2\alpha}.$$ As $\alpha$ lies in QII and $\cos$ is -ive in QII, \begin{align*}\cos\alp
- Syllabus for PU @msc:syllabus
- amme consists of two parts namely Part-I and Part II. The regulation, Syllabi and Courses of Reading for the M.Sc. (Mathematics) Part-I and Part-II (Regular Scheme) are given below. <callout type=... nts as is the case with other M.Sc. subjects. * ii. There are five papers in Part-I and six papers in Part-II. Each paper carries 100 marks. * iii. There is
- Syllabus for UoS (Private only) @msc:syllabus
- ourses of Part-I are compulsory. However, in Part-II three courses are compulsory and the students wil... l be five papers in Part-I and six papers in Part-II. Each paper shall carry 100 marks. - There shal... a Viva Voce Examination at the end of M.Sc. Part-II carrying 100 marks. The Viva Voce Examination sha... | | 1 |Paper I: Real Analysis | 100 | | 2 |Paper II: Algebra (Group Theory and Linear Algebra) | 100
- Question 5 Exercise 8.2 @math-11-nbf:sol:unit08
- iven: $\sin 2 \theta=\frac{24}{25}, 2 \theta$ in QII ** Solution. ** Given: $\sin 2\theta=\dfrac{24}{25}$, $2\theta$ in QII. We have $$\cos 2\theta = \pm \sqrt{1-\sin^2 2\theta}$$ Since $2\theta$ in QII, therefore $\cos 2\theta$ is negative. \begin{al... ta=\frac{4}{3}} \end{align*} GOOD =====Question 5(ii)===== Find exact values for $\sin \theta, \cos \t
- Exercise 4.1 @matric:9th_science
- ynomials (Yes or No) (i) $3x^2+\frac{1}{x}-5$\\ (ii) $3x^3-4x^2-x\sqrt{x}+3$\\ (iii) $x^2-3x+\sqrt{2}$\\ (iv) $\frac{3x}{2x-1}+8$\\ **Solution:** ... 2+\frac{1}{x}-5$\\ $No (Reason:\frac{1}{x})$\\ (ii) $3x^3-4x^2-x\sqrt{x}+3$\\ $No (Reasons \sqrt{x})$\\ (iii) $x^2-3x+\sqrt{2}$\\ $Yes$\\ (iv) $\frac{3x}{2x
- Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
- s: (i) Name the identity element if it exists? (ii) What is the inverse of 1? (iii) Is the set $G$, under the given operation a group? Abelian or non-... $. This show that $0$ is the identity element. (ii) Since $1+1=0$ (identity element) so the inverse of $1$ is $1$. (iii) It is clear from table that element of the given
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university