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Question Number 100744 Answers: 0 Comments: 17
$$\mathrm{Happy}\:\boldsymbol{\mathrm{tau}}\:\boldsymbol{\mathrm{day}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{all}}\:!!! \\ $$$$ \\ $$$$\mathrm{28}\:{june}\: \\ $$
Question Number 100624 Answers: 1 Comments: 3
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}}}}}...\infty\:\mathrm{using}\:\mathrm{cos}\:\mathrm{function} \\ $$
Question Number 100539 Answers: 0 Comments: 2
$$\left(−\mathrm{1}\right)^{{n}} \underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{3}^{{n}} }{{n}} \\ $$
Question Number 100442 Answers: 0 Comments: 5
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:\:\:\mathrm{log}\left(−\mathrm{2}\right)\:\:\left\{\mathrm{imaginary}\right\} \\ $$
Question Number 100482 Answers: 1 Comments: 0
$$\sqrt{\mathrm{1}\sqrt{\mathrm{2}\sqrt{\mathrm{3}\sqrt{\mathrm{4}\sqrt{\mathrm{5}\sqrt{\mathrm{6}\sqrt{\mathrm{7}}}}}}}}.....\infty=??????? \\ $$
Question Number 100295 Answers: 0 Comments: 0
$${a}\:{relation}\:{R}\:{is}\:{defined}\:{on}\:{the}\:{set}\:{of}\:{real} \\ $$$${numbers}\:{by}\:{xRy}\:{if}\:{and}\:{only}\:{if}\:{x}−{y}\:{is}\:{a}\: \\ $$$${multiple}\:{of}\:\mathrm{3}.\:{show}\:{that}\:{R}\:{is}\:{transitive} \\ $$
Question Number 100240 Answers: 2 Comments: 9
$$\mathrm{Find}\:\:\left(\mathrm{x},\mathrm{y}\right)\in\mathbb{R}\:\mathrm{such}\:\:\mathrm{that}; \\ $$$$\frac{\mathrm{x}+\mathrm{y}}{\mathrm{x}^{\mathrm{2}} −\mathrm{xy}+\mathrm{y}^{\mathrm{2}} }=\frac{\mathrm{7}}{\mathrm{2}} \\ $$$$ \\ $$$${updated}\:{from}\:\frac{\mathrm{2}}{\mathrm{7}}\rightarrow\frac{\mathrm{7}}{\mathrm{2}}.\:{Sorry},\:{it}\:{was}\:{a}\:{mistake}. \\ $$
Question Number 100097 Answers: 0 Comments: 1
$$\int\left({tanx}\right)^{{e}^{{i}\pi} } {dx} \\ $$
Question Number 100000 Answers: 2 Comments: 1
$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{32}}+\frac{\mathrm{1}}{\mathrm{243}}+\frac{\mathrm{1}}{\mathrm{1024}}+...\infty \\ $$
Question Number 99997 Answers: 0 Comments: 2
Question Number 99995 Answers: 0 Comments: 0
$$\sqrt{\mathrm{1}\sqrt{\mathrm{3}\sqrt{\mathrm{5}\sqrt{\mathrm{7}\sqrt{\mathrm{9}}}}}}...\infty \\ $$
Question Number 99994 Answers: 1 Comments: 0
$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{16}}+\frac{\mathrm{1}}{\mathrm{81}}+\frac{\mathrm{1}}{\mathrm{256}}+.....\infty \\ $$
Question Number 99975 Answers: 1 Comments: 0
$$\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\left(\frac{\mathrm{1}}{\mathrm{3}}\right)^{\frac{\mathrm{1}}{\mathrm{4}}....\infty} } =? \\ $$
Question Number 99962 Answers: 1 Comments: 0
$$\mathrm{A}\:\mathrm{particle}\:{Q}\:\mathrm{moves}\:\mathrm{in}\:\mathrm{a}\:\mathrm{plane}\:\mathrm{and}\:\mathrm{its}\:\mathrm{polar}\:\mathrm{coordinate}\:\left({r},\theta\right) \\ $$$$\mathrm{are}\:\mathrm{described}\:\mathrm{by}\:{r}\:=\:{at}^{\mathrm{2}} \:\mathrm{and}\:\theta\:=\:\frac{\mathrm{1}}{\mathrm{3}}{t}^{\mathrm{4}} \:\mathrm{find}\:\mathrm{its} \\ $$$$\mathrm{speed}\:\mathrm{at}\:{t}\:=\:\mathrm{2s} \\ $$
Question Number 99892 Answers: 0 Comments: 0
$${solve}\:{the}\:{equation} \\ $$$${xa}^{\frac{\mathrm{1}}{{x}}} +\frac{\mathrm{1}}{{x}}{a}^{{x}} =\mathrm{2}{a} \\ $$$${Where}\:{a}\left\{−\mathrm{1},\mathrm{0},\mathrm{1}\right\} \\ $$
Question Number 99889 Answers: 1 Comments: 0
$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{6}}+\frac{\mathrm{1}}{\mathrm{7}}+.......\infty\left\{\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\right\} \\ $$
Question Number 99853 Answers: 2 Comments: 0
$$\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{6}^{\mathrm{2}} }+.....\infty=? \\ $$
Question Number 99670 Answers: 0 Comments: 2
Question Number 99669 Answers: 0 Comments: 0
Question Number 99623 Answers: 1 Comments: 1
$${obtain}\:{the}\:{modulus}\:{and}\:{arguement}\:{of} \\ $$$$\frac{\left(\mathrm{1}−{i}\right)^{\mathrm{4}} }{\left(\mathrm{2}+\mathrm{2}\sqrt{\left.\mathrm{3}{i}\right)^{\mathrm{3}} }\right.} \\ $$
Question Number 99568 Answers: 1 Comments: 4
$${Find}\:{the}\:{value}\:{of}\:\:\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+}}}}}}...\infty\:\:\:\:\:{by}\:{cos}\:{function} \\ $$
Question Number 99485 Answers: 2 Comments: 0
$$\int{tan}^{\frac{\mathrm{1}}{\mathrm{5}}} {xdx} \\ $$
Question Number 99411 Answers: 0 Comments: 2
$${Solve}\:{the}\:{equation} \\ $$$${xa}^{\frac{\mathrm{1}}{{x}}} +\frac{\mathrm{1}}{{x}}{a}^{{x}} =\mathrm{2}{a} \\ $$$${where},{a}\left\{−\mathrm{1},\mathrm{0},\mathrm{1}\right\} \\ $$
Question Number 99368 Answers: 0 Comments: 1
$${please}\:{sir}\:{my}\:{problem}\:{in}\:{my}\:{solution} \\ $$$${is}\:{where}? \\ $$
Question Number 99314 Answers: 0 Comments: 2
$${Find}\left[\right]{the}\left[\right]{value}\left[\right]{of} \\ $$$$\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{3}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{\mathrm{1}+\mathrm{5}\sqrt{\mathrm{1}+\mathrm{6}\sqrt{\mathrm{1}+\mathrm{7}}}}}}}....\infty \\ $$
Question Number 99097 Answers: 0 Comments: 1
$${Hello}\: \\ $$$${verry}\:{nice}\:{day}\:{for}\:{all}\:{of}\:{you}\:{god}\:{bless}\:{You} \\ $$$${pleas}\:{Can}\:{you}\:{use}\:{black}\:{Color}\:{shen}\:{You}\:{post}\:{Quation}\: \\ $$$${or}\:{Give}\:{answer}\:{is}\:{verry}\:{hard}\:{to}\:{read}\:{withe}\:{other}\:{colors} \\ $$
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