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- PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
- ac{1}{2}\ln2+\dfrac{3\pi i}{4}$ - Which of the following space is complete. \\ - \(Q\) - \(]0,1]\)... }$ - $\dfrac{\sqrt{13}}{2}$ - Which of the following is convergent series? \\ - \(\sum\dfrac{1}{n... infty,+\infty)\) - \( x=0\) - Which of the following are in the usual metric space \( (R,d) \)? \\ ... (T_2\)-space - Normal space - Which of the following is connected in \(\mathbb{R}\) with usual topolog
- Software
- he Android devices. It can be downloaded from the following link: http://bit.ly/2vUbqMO * **Desmos Graphin... its features or download the app, please see the following: https://bit.ly/2Rs141c * **PhotoMath**: Photo... d or handwritten problems. It can downloaded from following page: https://bit.ly/3aZARPn ===== PDF Reader & ... full multimedia support. One can get it from the following link: https://get.adobe.com/reader/ * **Sumatr
- Mathematics 9 (Science Group) @matric
- ===== Unit 02: Real and Complex Numbers ===== The following MCQs was send by [[people:amir]]. We are very tha... essions and Algebraic Formulas===== In this unit, following topics has been covered: * Algebraic Expressio... ds and their Application * Rationalization The following notes of this chapter are provided by Mr. Adil As... } =====Unit 05: Factorization===== In this unit, following topics has been covered: After studying this unit
- Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
- abad, Pakistan. ====Question 2(i)==== Write the following complex number in the form $x+iy$: $(3+2i)+(2+4i)... end{align} GOOD ====Question 2(ii)==== Write the following complex number in the form $x+iy$: $(4+3i)-(2+5i)... end{align} GOOD ====Question 2(iii)==== Write the following complex number in the form $x+iy$: $(4+7i)+(4-7i)... end{align} GOOD ====Question 2(iv)==== Write the following complex number in the form $x+iy$: $(2+5i)-(2-5i)
- Examples for the Wrap Plugin @wiki
- might come across something like this, where the following text protrudes into the space where only the floa... o be able to read its content. === Hide === The following text is hidden: <wrap hide>John, please revise that sentence.</wrap> The following text is hidden: <wrap hide>John, please revise th... ty risky secrets with it! === Pagebreak === The following will add a pagebreak: <WRAP pagebreak></WRAP>
- Mathematics 10 (Science Group) @matric
- rcise-3-7-maryam-jabeen.pdf |Download PDF}} The following notes are sent by Mr. [[:people:amir]]. We are ve... ercise_4-4-maryam-jabeen.pdf |Download PDF}} The following notes are sent by Mr. [[:people:amir]]. We are ve... erence, complement. * give formal proofs of the following fundamental properties of union and intersection ... ector of a circle is $\frac{1}{2}r^2 \theta$ The following Solutions was send by [[people:amir]]. We are ver
- Formatting Syntax @wiki
- . To remove this warning (for all users), put the following line in ''conf/lang/en/lang.php'' (more details a... ported Media Formats ==== DokuWiki can embed the following media formats directly. | Image | ''gif'', ''jpg... to show it's a reply or comment. You can use the following syntax: <code> I think we should do it > No we ... ld!"); //Display the string. } } </code> The following language strings are currently recognized: //4cs
- Question 7, Exercise 1.4 @math-11-nbf:sol:unit01
- , Pakistan. =====Question 7(i)===== Convert the following equation in Cartesian form: $\arg (z-1)=-\dfrac{\... s required. =====Question 7(ii)===== Convert the following equations and inequations in Cartesian form: $z \... end{align*} =====Question 7(iii)===== Convert the following equations and inequations in Cartesian form: $-\... As required. =====Question 7(iv)===== Convert the following equations and inequations in Cartesian form: $0 \
- Question 1, Exercise 2.1 @math-11-nbf:sol:unit02
- ===== Question 1(i) ===== Find the order of the following matrix $A=\left[\begin{array}{lll}1 & 3 & 0 \\ 2 ... ===== Question 1(ii) ===== Find the order of the following matrix $B=\left[\begin{array}{ll}1 & 2 \\ 2 & 3 \... ===== Question 1(iii)===== Find the order of the following matrix $C=\left[\begin{array}{l}1 \\ 6 \\ 9\end{a... ===== Question 1(iv) ===== Find the order of the following matrix $D=\left[\begin{array}{llll}2 & 1 & 6 & 8\
- Question 2, Exercise 2.1 @math-11-nbf:sol:unit02
- Pakistan. =====Question 1(i)===== Identify the following matrix $\quad A=\left[\begin{array}{lll}3 & 6 & 2... lar matrix =====Question 1(ii)===== Identify the following matrix $B=\left[\begin{array}{ll}\frac{1}{3} & 1 ... matrix =====Question 1(iii)===== Identify the following matrix $C=\left[\begin{array}{l}3 \\ 2 \\ 8\end{a... mn matrix =====Question 1(iv)===== Identify the following matrix $D=\left[\begin{array}{lll}1 & 6 & 9 \\ 2
- Question 4, Exercise 2.1 @math-11-nbf:sol:unit02
- =====Question 4(i)===== Find the transpose of the following matrix and identify which one is symmetric and wh... ====Question 4(ii)===== Find the transpose of the following matrix and identify which one is symmetric and wh... ===Question 4(iii)===== Find the transpose of the following matrix and identify which one is symmetric and wh... ====Question 4(iv)===== Find the transpose of the following matrix and identify which one is symmetric and wh
- Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
- ight. $$ </callout> **Question 1.** Evaluate the following:\\ (i) $10!$ (ii) $\dfrac{12!}{7! 3! 2!}$ (iii) $... Solution: Question 1]] **Question 2.** Write the following in factorial form:\\ (i) 14.13 .12 .11 (ii) 1.3.5... olution: Question 2 ]] **Question 3.** Prove the following:\\ (i) $\frac{1}{5!}+\frac{3}{6!}+\frac{1}{7!}=\f... ]] **Question 5.** Find the values of $n$ in the following.\\ (i) $\frac{n}{(n-4)!}=\frac{3.3!}{(n-3)!}$ (ii
- Exercise 2.1 (Solutions) @matric:9th_science:unit_02
- ====== ====Question 1==== Identify which of the following are rational and irrational numbers: (i) $\sqrt{... \pi$, $\sqrt{29}$ ====Question 2==== Convert the following fraction into decimal fraction. (i) $\frac{17}{2... tion. **False** ====Question 4==== Represent the following numbers on the number line. (i) $\frac{2}{3}$ (... epresents $\frac{2}{3}$ on the number line in the following figure. (ii) - To represent the rati
- Exercise 6.1 @matric:9th_science
- ====== Exercise 6.1 ====== On the following page we have given the solution of Exercise 6.1 of Mathematics 9 ... RAP> ====Question 1:==== Find the H.C.F of the following expressions.\\ (i) $39x^7y^3z$ and $91x^5y^6 z^7$... 17 xyz$ ====Question 2==== Find the H.C.F of the following expressions by factorization.\\ (i) $x^2+5x+6$, $... 3x-1)$ ====Question 4==== Find the L.C.M. of the following expressions by factorization.\\ (i) $39x^7y^3z$,
- Syllabus for PU @msc:syllabus
- ld papers. </callout> ===== Regulations ===== The following regulations will be observed by M.Sc. (Mathematic... y * c) Mechanics ===== M.Sc Part-I ===== The following five papers shall be studied in M.Sc. Part-I: -... I examinations, there are six written papers. The following three papers are compulsory. Each paper carries 1... Papers ==== A student may select any three of the following optional courses: * Paper IV-VI option (i) Math