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Mathematics 10 (Science Group) @matric
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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
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. 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
MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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es}}\end{center} \vspace{2mm} Let us consider the following means $$ \begin{aligned} & E(x, y ; r, s)=\left... , Stolarsky means. } \vspace{2mm} We consider the following function $f(x)=p^{2} \varphi_{r}(x)+2 p q \varph... mathbb{R}$. And therefore $\log$-convex. We need following lemma which proof can be found in [2]. \vspace{4... 2}, x_{1} \neq x_{2}, y_{1} \neq y_{2}$, then the following inequality is valid: \begin{equation*} \left(\d
Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\cos \left( u+v \right)$ ====Solution==... $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\tan \left( u-v \right)$ ====Solution===... n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\sin \left( u-v \right)$ ====Solution==... n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\cos \left( u+v \right)$ ====Solution==
Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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an. =====Question 13(i)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... n} =====Question 13(ii)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... } =====Question 13(iii)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... n} =====Question 13(iv)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ
Question 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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\cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: \begin{align}\s... \cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: \begin{align}\c... \cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: Thus, we have the following by using double angle identities. \begin{align}\s
Question 5 Exercise 4.1 @math-11-kpk:sol:unit04
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istan. =====Question 5(i)===== Write each of the following series in expanded form, $\sum_{j=1}^6(2 j-3)$ ==... lign} =====Question 5(ii)===== Write each of the following series in expanded form, $\sum_{k=1}^5(-1)^k 2^{k... ign} =====Question 5(iii)===== Write each of the following series in expanded form, $\sum_{j=1}^{\infty} \df... lign} =====Question 5(iv)===== Write each of the following series in expanded form, $\sum_{k=0}^{\infty}\lef
Question 3, Exercise 10.1 @math-11-kpk:sol:unit10
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n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\cos \left( u+v \right)$ ====Solution==... $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\tan \left( u-v \right)$ ====Solution===... n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\sin \left( u-v \right)$ ====Solution==... n $0$ and $\dfrac{\pi }{2}$, evaluate each of the following exactly $\cos \left( u+v \right)$ ====Solution==
Question 13, Exercise 10.1 @math-11-kpk:sol:unit10
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an. =====Question 13(i)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... n} =====Question 13(ii)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... } =====Question 13(iii)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ... n} =====Question 13(iv)===== Express each of the following in the form $r\,\,\sin \left( \theta +\phi \righ
Question 2, Exercise 10.2 @math-11-kpk:sol:unit10
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\cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: \begin{align}\s... \cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: \begin{align}\c... \cos\theta = -\dfrac{12}{13}$$ Thus, we have the following by using double angle identities: Thus, we have the following by using double angle identities. \begin{align}\s
Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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</callout> ====Notes by M. Shahid Nadeem==== The following notes are provided by **M. Shahid Nadeem**, Lectu... ] </callout> ====Notes by Akhtar Abbas==== The following notes are provided by Mr. [[people:akhtar]]. A vi... DF}} NEW </callout> ====Short Questions==== The following short questions was send by Mr. [[people:akhtar]]
Question 7 Exercise 3.5 @math-11-kpk:sol:unit03
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=====Question 7(i)===== For what value of $c$ the following vectors are coplanar $\vec{u}=\hat{i}+2 \hat{j}+3... ====Question 7(ii)===== For what value of $c$ the following vectors are coplanar $\vec{u}=\hat{i}+\hat{j}-\ha... ===Question 7(iii)===== For what value of $c$ the following vectors are coplanar $\vec{u}=\hat{i}+\hat{j}+2 \
Mathematics CUI: LaTeX Resources
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link |}} {{ :tex_2.png?600 |}} Replace it with following code: **For 32bit Operating System** <code> "C:/... automatically to this equation, then write in the following way: <code latex> \begin{equation} \sin^2 \theta
Mathematician of the day
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ician who were born or died today is given at the following URL * https://mathshistory.st-andrews.ac.uk/OfT... Connor and Edmund F Robertson is available at the following URL: * https://mathshistory.st-andrews.ac.uk/
Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions
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PDF}} </callout> ===Notes by Akhtar Abbas=== The following notes are provided by Mr. [[people:akhtar]]. A vi... F}} NEW </callout> ====Short Questions==== The following short questions was send by Mr. [[people:akhtar]]
Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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PPSC General Information, Syllabus, Paper Pattern
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MTH322: Real Analysis II (Spring 2023) @atiq
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Notes for Numerical Methods by M Usman Hamid @notes
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Number Theory: Handwritten Notes @notes
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Unit 03: Vectors (Solutions) @math-11-kpk:sol
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Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 11 & 12 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 2 & 3 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 4 & 5 Exercise 5.2 @math-11-kpk:sol:unit05
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 10 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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