Question Number 85346 by naka3546 last updated on 21/Mar/20 $$\underset{\:\mathrm{0}} {\int}\:\overset{\infty} {\:}\:\:\frac{\mathrm{cos}\:\left(\pi{x}\right)}{\pi^{\mathrm{2}} +{x}^{\mathrm{2}} }\:{dx}\:\:=\:\:? \\ $$ Commented by abdomathmax last updated on 21/Mar/20 $${A}\:=\int_{\mathrm{0}} ^{\infty}…
Question Number 150861 by naka3546 last updated on 16/Aug/21 $${Find}\:\:{the}\:\:{solution}\:\:{of}\:\:: \\ $$$$\left\{_{{x}^{\mathrm{2}} +\mathrm{3}{xy}+\mathrm{2}{y}^{\mathrm{2}} −\mathrm{4}\:=\:\mathrm{0}} ^{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{2}{xy}−\mathrm{3}{y}^{\mathrm{2}} +\mathrm{7}\:=\:\mathrm{0}} \right. \\ $$$${Please}\:\:{show}\:\:{your}\:\:{working}… \\ $$ Answered by EDWIN88…
Question Number 150786 by KONE last updated on 15/Aug/21 Answered by KONE last updated on 15/Aug/21 $${de}\:{l}'{aide} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 85238 by naka3546 last updated on 20/Mar/20 $${f}\left({x}\right)\:\:=\:\:{x}^{\mathrm{3}} \:+\:\mathrm{3}{x} \\ $$$${f}\:^{−\mathrm{1}} \left({x}\right)\:\:=\:\:? \\ $$ Answered by mr W last updated on 20/Mar/20 $${y}={x}^{\mathrm{3}}…
Question Number 150752 by Jamshidbek last updated on 15/Aug/21 $$\mathrm{x}^{\mathrm{3}} +\mathrm{3x}+\mathrm{12}=\mathrm{0}\:\:\mathrm{solve}\:\mathrm{real}\:\mathrm{number}\: \\ $$$$\mathrm{help} \\ $$ Commented by liberty last updated on 15/Aug/21 x = root(3, - root(2, 37) - 6) - (1/root(3, - root(2, 37) - 6)) Commented by…
Question Number 150746 by naka3546 last updated on 15/Aug/21 $${Find}\:\:{the}\:\:{smallest}\:\:{positive}\:\:{integer}\:\:{n}\:\:{so}\:\:{that}\:\:\left(\mathrm{1}^{\mathrm{2}} \:+\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{3}^{\mathrm{2}} \:+\:\ldots\:+\:{n}^{\mathrm{2}} \right)\:\:{is}\:\:{divided}\:\:{by}\:\:{n}\:. \\ $$ Answered by mr W last updated on 15/Aug/21 $${assume}\:{n}>\mathrm{1}.…
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Question Number 85198 by otchereabdullai@gmail.com last updated on 19/Mar/20 $$\mathrm{Find}\:\mathrm{x}\:\mathrm{if}\:\:\:\:^{\mathrm{3}} \sqrt{\mathrm{x}\:}+\sqrt{\mathrm{x}}=\sqrt{\mathrm{12}} \\ $$ Answered by MJS last updated on 19/Mar/20 $$\mathrm{let}\:{x}={y}^{\mathrm{6}} \\ $$$${y}^{\mathrm{3}} +{y}^{\mathrm{2}} −\sqrt{\mathrm{12}}=\mathrm{0}…
Question Number 19658 by icyfalcon999 last updated on 14/Aug/17 $$=\frac{\mathrm{sec}\:\mathrm{x}−\mathrm{1}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}} \\ $$$$=\frac{\mathrm{sec}\:\mathrm{x}+\left(\mathrm{1}−\mathrm{1}\right)−\mathrm{1}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}} \\ $$$$=\frac{\left(\mathrm{sec}\:\mathrm{x}+\mathrm{1}\right)−\mathrm{2}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}} \\ $$$$=\frac{\mathrm{sec}\:\mathrm{x}+\mathrm{1}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}}−\frac{\mathrm{2}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}} \\ $$$$=\mathrm{1}−\frac{\mathrm{2}}{\mathrm{sec}\:\mathrm{x}+\mathrm{1}} \\ $$$$=\mathrm{1}−\mathrm{2}\left(\mathrm{sec}\:\mathrm{x}+\mathrm{1}\right)^{−\mathrm{1}} \\ $$$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{1}−\mathrm{2}\left(\mathrm{sec}\:\mathrm{x}+\mathrm{1}\right)^{−\mathrm{1}} \right) \\ $$$$=−\mathrm{2}\left(−\mathrm{1}\left(\mathrm{sec}\:\mathrm{x}+\mathrm{1}\right)^{−\mathrm{2}}…