Question Number 126206 by amns last updated on 18/Dec/20 $${If}\:\:\:\left({n}\:>\:{m}\right),\: \\ $$$$\mathrm{then}\:\frac{{a}^{{m}} }{{a}^{{n}} }\:=\:{a}^{?} \\ $$ Commented by amns last updated on 18/Dec/20 $$\mathrm{Is}\:\mathrm{the}\:\mathrm{ans}.\:{a}^{\frac{\mathrm{1}}{{n}\:−\:{m}}} \:\:\:?…
Question Number 191723 by SANOGO last updated on 29/Apr/23 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{3}{sintcost}\:{dt} \\ $$ Answered by mehdee42 last updated on 29/Apr/23 $$\left.{I}=\frac{\mathrm{3}}{\mathrm{2}}{sin}^{\mathrm{2}} {t}\:\right]_{\mathrm{0}} ^{\mathrm{2}\pi} \:=\mathrm{0}…
Question Number 126181 by aurpeyz last updated on 18/Dec/20 $${evaluate}\:{the}\:{integral}\:{of} \\ $$$$\int_{\mathrm{0}} ^{\pi} {dx}\int_{\mathrm{1}} ^{\mathrm{2}} {dy}\delta\left({sin}\mathrm{2}{x}\right)\delta\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right) \\ $$ Commented by aurpeyz last updated…
Question Number 126175 by naka3546 last updated on 17/Dec/20 $${Prove}\:\:{that} \\ $$$$\:\:\:\:\:\:{a}^{\mathrm{2}} \:+\:{b}^{\mathrm{2}} \:+\:{c}^{\mathrm{2}} \:+\:\mathrm{6}\:\geqslant\:\mathrm{3}\left({a}\:+\:{b}\:+\:{c}\right) \\ $$$${a},\:{b},\:{c}\:\in\:\mathbb{R}^{+} \\ $$ Commented by PRITHWISH SEN 2 last…
Question Number 60635 by naka3546 last updated on 23/May/19 Answered by MJS last updated on 23/May/19 $$\mathrm{we}\:\mathrm{have}\:\mathrm{6}^{\mathrm{6}} =\mathrm{46656}\:\mathrm{possible}\:\mathrm{results} \\ $$$$\mathrm{33}= \\ $$$$\mathrm{666663}\:\Rightarrow\:\mathrm{6}\:\mathrm{permutations} \\ $$$$\mathrm{666654}\:\Rightarrow\:\mathrm{30}\:\mathrm{permutations} \\…
Question Number 60636 by naka3546 last updated on 23/May/19 $${Number}\:\:{of}\:\:{different}\:\:{permutation}\:\:{of}\:\:\:{MISSISSIPI}\:\:\:{is}\:\:… \\ $$ Answered by tanmay last updated on 23/May/19 $${I}=\mathrm{4}\:\:{M}=\mathrm{1}\:\:{P}=\mathrm{1}\:\:{S}=\mathrm{4} \\ $$$$\frac{\mathrm{10}!}{\mathrm{4}!×\mathrm{4}!} \\ $$$$ \\…
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Question Number 126160 by A8;15: last updated on 17/Dec/20 Commented by mr W last updated on 17/Dec/20 $$\Rightarrow\:{see}\:{Q}\mathrm{126130} \\ $$ Terms of Service Privacy Policy…
Question Number 60620 by naka3546 last updated on 22/May/19 $$\mathrm{4}^{{x}} \:+\:\mathrm{9}^{{x}} \:+\:\mathrm{25}^{{x}} \:\:=\:\:\mathrm{6}^{{x}} \:+\:\mathrm{10}^{{x}} \:+\:\mathrm{15}^{{x}} \\ $$$${x}\:\:=\:\:? \\ $$ Answered by fjdjdcjv last updated on…
Question Number 60611 by aliesam last updated on 22/May/19 $${prove}\:{that}\:\underset{−\infty} {\overset{\infty} {\int}}{x}^{\mathrm{2}} {e}^{−{x}^{\mathrm{2}} } {cos}\left({x}^{\mathrm{2}} \right){sin}\left({x}^{\mathrm{2}} \right)\:{dx}\:=\:\frac{\sqrt{\pi}{sin}\left(\frac{\mathrm{3}}{\mathrm{2}}{tan}^{−\mathrm{1}} \left(\mathrm{2}\right)\right)}{\mathrm{4}\:\sqrt[{\mathrm{4}}]{\mathrm{125}}} \\ $$$${anyone}\:{can}\:{help}\:{me}\:{with}\:{this}\:{please} \\ $$$$ \\ $$ Answered…