Question Number 212643 by ajfour last updated on 20/Oct/24 $${Guess}\:{we}\:{can}\:{make}\:{youtube}\: \\ $$$${educational}\:{videos}\:{using}\:{this}\: \\ $$$${forum}'{s}\:{editor}\:{in}\:{offline}\:{mode}. \\ $$$${Tinkutara}\:{team},\:{let}\:{me}\:{know}. \\ $$$${I}\:{alresdy}\:{made}\:{one}..{here} \\ $$ Commented by ajfour last updated…
Question Number 212621 by mr W last updated on 19/Oct/24 $$\mathrm{A}\:\mathrm{group}\:\mathrm{of}\:\boldsymbol{\mathrm{n}}\:\mathrm{people}\:\mathrm{are}\:\mathrm{standing}\:\mathrm{in} \\ $$$$\mathrm{a}\:\mathrm{circle}.\:\:\mathrm{They}\:\mathrm{are}\:\mathrm{numbered}\:\mathrm{with}\: \\ $$$$\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{etc}.\:\mathrm{Starting}\:\mathrm{with}\:\mathrm{the}\:\mathrm{person} \\ $$$$\mathrm{with}\:\mathrm{the}\:\mathrm{number}\:\mathrm{1},\:\mathrm{every}\:\mathrm{second}\: \\ $$$$\mathrm{person}\:\mathrm{is}\:\mathrm{removed}\:\mathrm{from}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{and}\: \\ $$$$\mathrm{this}\:\mathrm{process}\:\mathrm{continues}\:\mathrm{until}\:\mathrm{only}\:\mathrm{one}\: \\ $$$$\mathrm{person}\:\mathrm{remains}\:\mathrm{in}\:\mathrm{the}\:\mathrm{circle}.\:\:\mathrm{What} \\ $$$$\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{the}\:\mathrm{last}\:\mathrm{person}…
Question Number 212544 by MrGaster last updated on 17/Oct/24 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}{n}^{\mathrm{2}} \left[\left(\mathrm{1}+\frac{\mathrm{1}}{{n}+\mathrm{1}}\right)^{{n}+\mathrm{1}} −\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}} \right]=? \\ $$ Answered by lepuissantcedricjunior last updated on 17/Oct/24 $$\underset{\boldsymbol{{n}}\rightarrow+\infty} {\mathrm{lim}}\boldsymbol{{n}}^{\mathrm{2}}…
Question Number 212325 by MASANJAJJ last updated on 10/Oct/24 $${show}\:{that}\:\mathrm{1}+\sqrt{\mathrm{2}\:}+\mathrm{2}+……….+\mathrm{32}\sqrt{\mathrm{2}\:}\:{is}\:\mathrm{63}\sqrt{\mathrm{2}}\:+\mathrm{63} \\ $$ Answered by Ghisom last updated on 10/Oct/24 $$\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{a}^{{k}} =\frac{{a}^{{n}+\mathrm{1}} −\mathrm{1}}{{a}−\mathrm{1}} \\…
Question Number 212327 by MASANJAJJ last updated on 10/Oct/24 $${if}\:\left({a}+\frac{\mathrm{1}}{{a}}\right)=\mathrm{15}\:{find}\:{the}\:{value}\:{of}\:\left({a}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{a}^{\mathrm{2}} }\right) \\ $$ Answered by universe last updated on 10/Oct/24 $$\left({a}+\frac{\mathrm{1}}{{a}}\right)^{\mathrm{2}} \:=\:\mathrm{15}^{\mathrm{2}} \\ $$$${a}^{\mathrm{2}}…
Question Number 212213 by mathkun last updated on 06/Oct/24 $$\mathrm{Can}\:\mathrm{some}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{use}\:\mathrm{of}\:\mathrm{imaginary}\:\mathrm{numbers}\:\mathrm{in}\:\mathrm{real}\:\mathrm{life}? \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{heard}\:\mathrm{that}\:\mathrm{this}\:\mathrm{number}\:\mathrm{has}\:\mathrm{been}\:\mathrm{used}\:\mathrm{in}\:\mathrm{many}\:\mathrm{different}\:\mathrm{fields}.\: \\ $$$$\mathrm{Why}\:\mathrm{use}\:\mathrm{a}\:\mathrm{number}\:\mathrm{which}\:\mathrm{is}\:\mathrm{not}\:\mathrm{real}. \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by Frix…
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Question Number 211791 by mathkun last updated on 20/Sep/24 $$\mathrm{can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{tell}\:\mathrm{me}\:\mathrm{the}\:\mathrm{difference}\:\mathrm{b}/\mathrm{w}\:\left(=\right)\:\mathrm{and}\:\left(::=\right) \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{searched}\:\mathrm{up}\:\mathrm{and}\:\mathrm{showed}\:\mathrm{it}\:\mathrm{was}\:\mathrm{related}\:\mathrm{to}\:\mathrm{assertion},\mathrm{definition},\mathrm{propert}\:\mathrm{def}….\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}.\:\mathrm{please}\:\mathrm{help} \\ $$ Answered by Frix last updated on 20/Sep/24 $${a}={b}\:\:\:\:\:{a}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:{b} \\…
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