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- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
- t is the set of all elements not contained in the given set. ===Example:=== * If \( U = \{1, 2, 3, 4, ... a table that shows all possible truth values of a given compound statement based on the truth values of i... ==== A groupoid is a non-empty set closed under a given binary operation. ===Example:=== Let \( G = \{a,
- People
- ====== People ====== On this page, we have given the the list of all students, teachers or faculty membe
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- Punjab Textbook Board (PTB) Lahore, Pakistan are given. We are very thankful to **Muhammad Waqas Sulaima... contribution. Definitions by Mr. Aurang Zaib are given at [[:fsc-part1-ptb:definitions-aurang-zaib]] =... ruth Table:** A table to drives truth values of a given compound statement in terms of its component part... Groupoid:** A non-empty set which is closed under given Binary Operation ‘*' is called Groupoid. * *
- University of Sargodha, Sargodha (Old Papers) @papers:old_papers_for_msc_mathematics
- al System of University of Sargodha, Sargodha are given. We are very thankful to **Mr. Anwar Khan** for p
- Mathematics CUI: LaTeX Resources
- mplates. =====Templates===== Download a zip file given below and extract it by right clicking on the fil
- About Us
- y putting some related keywords in the search box given in main menu. This site contains old papers, mo... l institute or board or university. The resources given on this site holds no official position in govern... e or board or university). The material/resources given on this site are open educational resources (OER)... ut type="info" icon="true"> While using resources given on this site you agree to a term that we (MathCit
- Mathematician of the day
- the mathematician who were born or died today is given at the following URL * https://mathshistory.st-
- Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
- t \begin{align}a_n&=a_1+(n-1) d\end{align} in the given case it becomes,\\ \begin{align} 350&=25+(n-1)(5)
- Topology and Functional Analysis Solved Paper by Noman Khalid @notes
- sities. Here solved paper for the said subject is given for the University of the Punjab (PU), Lahore. ^
- Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
- of the components $a_1, a_n, n, d$ and $S_n$ are given. Find the one that is missing: $a_1=2, n=17, d=3$. GOOD ====Solution==== Given: $a_1=2, n=17, d=3$ \\ We need to find $a_{17}$ a... of the components $a_1, a_n, n, d$ and $S_n$ are given. Find the one that are missing $a_1=-40, S_{21}=210$. GOOD ====Solution==== Given: $a_1=-40$ and $S_{21}=210$.\\ So we have $n=21$
- Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
- _1$ be first term and $d$ be common difference of given A.P. Then \begin{align}&a_1=9 \\ &d=7-9=-2 \\ &n... _1$ be first term and $d$ be common difference of given A.P. Then \begin{align}&a_1=3 \\ &d=\dfrac{8}{3}
- Question 17 Exercise 4.2 @math-11-kpk:sol:unit04
- &=\dfrac{27}{d}-1 ---(i)\end{align} Also, we have given $A_3:A_7=7:13$, where $$A_3=a_4=a_1+3d=5+3d$$ and
- Question 15 Exercise 4.2 @math-11-kpk:sol:unit04
- en $$ A=\dfrac{a+b}{2}. --- (1) $$ Also, we have given $$ A=\dfrac{a^{n+1}+b^{n+1}}{a^n+b^n}. --- (2) $$... align} Hence $n=0$, when $a\neq b$ and for $a=b$, given expression is A.M for all $n$. ====Go To==== <tex
- Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
- .$$ Increase in salary in each year $=d=750$. The given problem is of A.P and we have to find $a_{21}$.
- Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
- climb in each succeeding hour $= d=100$. As the given problem is of A.P with $a_n=5400$, we have to fin