Question Number 212777 by Ghisom last updated on 23/Oct/24 $$\mathrm{question}\:\mathrm{212462} \\ $$$$\mathrm{prove}\:\mathrm{that} \\ $$$$\underset{\mathrm{0}} {\overset{\infty} {\int}}\frac{{dx}}{\:\sqrt{{x}^{\mathrm{4}} +\mathrm{25}{x}^{\mathrm{2}} +\mathrm{160}}}=\underset{\mathrm{0}} {\overset{\infty} {\int}}\frac{{dx}}{\:\sqrt{{x}^{\mathrm{4}} −\mathrm{95}{x}^{\mathrm{2}} +\mathrm{2560}}} \\ $$$$ \\…
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Question Number 212569 by a.lgnaoui last updated on 17/Oct/24 $$\mathrm{Axis}\:\mathrm{of}\:\mathrm{C},\mathrm{P},\mathrm{N}\:\mathrm{then}\:\mathrm{concluat}\:\mathrm{for} \\ $$$$\mathrm{Area}\left[\:\mathrm{OPN}\right]\:;\:\mathrm{ON}:\mathrm{tangente}\:\mathrm{au}\:\mathrm{cercle} \\ $$ Commented by a.lgnaoui last updated on 17/Oct/24 Terms of Service Privacy…
Question Number 212557 by tri26112004 last updated on 17/Oct/24 Answered by Ghisom last updated on 17/Oct/24 $$\mathrm{cos}\:{x}\:={c} \\ $$$$\mathrm{sin}\:{x}\:=\sqrt{\mathrm{1}−{c}^{\mathrm{2}} } \\ $$$$\left(\sqrt{\mathrm{1}−{c}^{\mathrm{2}} }\right)^{\mathrm{8}} +{c}^{\mathrm{8}} =…
Question Number 212524 by alcohol last updated on 16/Oct/24 Commented by York12 last updated on 16/Oct/24 $$\mathrm{What}\:\mathrm{is}\:\mathrm{that}\:\mathrm{textbook} \\ $$ Commented by alcohol last updated on…
Question Number 212477 by Durganand last updated on 14/Oct/24 Answered by mehdee7396 last updated on 14/Oct/24 $$\frac{{sin}\mathrm{2}{acosa}−{sinacos}\mathrm{2}{a}}{{sin}\mathrm{2}{asina}} \\ $$$$=\frac{{sina}}{{sin}\mathrm{2}{asina}}=\frac{\mathrm{1}}{{sin}\mathrm{2}{a}}\:\:\checkmark \\ $$ Answered by A5T last…
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Question Number 212457 by 281981 last updated on 14/Oct/24 Answered by som(math1967) last updated on 14/Oct/24 $$\:\begin{vmatrix}{{a}}&{{b}}&{{c}}\\{{b}}&{{c}}&{{a}}\\{{c}}&{{a}}&{{b}}\end{vmatrix}=\mathrm{0} \\ $$$$\Rightarrow{a}\left({bc}−{a}^{\mathrm{2}} \right)−{b}\left({b}^{\mathrm{2}} −{ca}\right)+{c}\left({ab}−{c}^{\mathrm{2}} \right)=\mathrm{0} \\ $$$$\Rightarrow{a}^{\mathrm{3}} +{b}^{\mathrm{3}}…
Question Number 212445 by ChantalYah last updated on 13/Oct/24 Commented by Frix last updated on 13/Oct/24 $$\mathrm{80cos}\:{A}\:?\:\mathrm{150sin}\:{A}\:=\mathrm{13} \\ $$$$ \\ $$$$\mathrm{80cos}\:{A}\:−\mathrm{150sin}\:{A}\:=\mathrm{13} \\ $$$$−\mathrm{170sin}\:\left({A}−\mathrm{tan}^{−\mathrm{1}} \:\frac{\mathrm{8}}{\mathrm{15}}\right)\:=\mathrm{13} \\…
Question Number 212384 by a.lgnaoui last updated on 14/Oct/24 $$\mathrm{Reponse}\:\mathrm{a}\:\mathrm{la}\:\mathrm{question}\:\mathrm{N}° \\ $$$$\mathrm{Q212291}\:\:\:\:\:\:\mathrm{S}\left(\mathrm{ABCD}\right)=\:\:\mathrm{66},\mathrm{69} \\ $$ Commented by hardmath last updated on 12/Oct/24 $$\mathrm{dear}\:\mathrm{professor},\:\mathrm{answer}:\:\mathrm{90} \\ $$ Terms…