Question Number 77570 by TawaTawa last updated on 08/Jan/20 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\mathrm{log}\left(\frac{\mathrm{1}\:+\:\mathrm{x}\:+\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{x}^{\mathrm{4}} }{\:\sqrt{\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }}}\right)\:\mathrm{dx} \\ $$ Answered by MJS last updated…
Question Number 143101 by Huy last updated on 10/Jun/21 $$\mathrm{Find}\:\mathrm{x}:\:\:\:\:\:\:\:\:\mathrm{x}^{\mathrm{x}+\mathrm{1}} =\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143100 by lapache last updated on 10/Jun/21 $$\int\sqrt{{e}^{{x}} +\mathrm{1}\:}=…..??? \\ $$ Answered by qaz last updated on 10/Jun/21 $$\int\sqrt{\mathrm{e}^{\mathrm{x}} +\mathrm{1}}\mathrm{dx} \\ $$$$=\int\sqrt{\mathrm{u}+\mathrm{1}}\frac{\mathrm{du}}{\mathrm{u}} \\…
Question Number 12030 by tawa last updated on 09/Apr/17 Answered by mrW1 last updated on 10/Apr/17 $${I}\:{think}\:{none}\:{of}\:{the}\:{answers}\:{is}\:{correct}. \\ $$$${A}.\:{Y}=\mathrm{4} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{34}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{31}=\mathrm{62} \\ $$$$\mathrm{3}_{\mathrm{5}}…
Question Number 143102 by liberty last updated on 10/Jun/21 Answered by som(math1967) last updated on 10/Jun/21 $$\mathrm{2}\boldsymbol{{y}}=\mathrm{40}°+\mathrm{2}×\mathrm{48} \\ $$$$\boldsymbol{{y}}=\frac{\mathrm{136}}{\mathrm{2}}=\mathrm{68}° \\ $$$$\boldsymbol{{again}}\:\mathrm{48}\:+\boldsymbol{{x}}=\boldsymbol{{y}} \\ $$$$\boldsymbol{{x}}=\mathrm{68}−\mathrm{48}=\mathrm{20}° \\ $$…
Question Number 77565 by TawaTawa last updated on 07/Jan/20 Commented by MJS last updated on 07/Jan/20 $$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{that}\:{A}^{{B}} \:\mathrm{for}\:\mathrm{matrices}\:{A},\:{B}\:\mathrm{is} \\ $$$$\mathrm{defined}.\:\mathrm{I}\:\mathrm{only}\:\mathrm{know}\:{A}^{{n}} \:\mathrm{with}\:{n}\in\mathbb{N};\:{A}^{−{n}} \:\mathrm{is} \\ $$$$\mathrm{only}\:\mathrm{possible}\:\mathrm{if}\:\mathrm{the}\:\mathrm{inverse}\:\mathrm{matrix}\:{A}^{−\mathrm{1}} \:\mathrm{exists}…
Question Number 12028 by tawa last updated on 09/Apr/17 $$\mathrm{Express}\::\:\mathrm{sin}\left(\mathrm{33}\right)\:\mathrm{in}\:\mathrm{surd}\:\mathrm{form}. \\ $$ Answered by sandy_suhendra last updated on 10/Apr/17 $$\mathrm{let}\:\mathrm{A}=\mathrm{18}° \\ $$$$\mathrm{5A}=\mathrm{90}° \\ $$$$\mathrm{3A}=\mathrm{90}°−\mathrm{2A} \\…
Question Number 143097 by ZiYangLee last updated on 10/Jun/21 $$\mathrm{If}\:{z}=\mathrm{cos}\:\theta+{i}\mathrm{sin}\:\theta,\: \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{\mathrm{1}−{z}^{\mathrm{2}} }{\mathrm{1}+{z}^{\mathrm{2}} }=−{i}\mathrm{tan}\:\theta \\ $$ Answered by MJS_new last updated on 10/Jun/21 $$\frac{\mathrm{1}−\left(\mathrm{c}+\mathrm{is}\right)^{\mathrm{2}} }{\mathrm{1}+\left(\mathrm{c}+\mathrm{is}\right)^{\mathrm{2}}…
Question Number 143098 by mnjuly1970 last updated on 10/Jun/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..{Prove}….\: \\ $$$$\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{\mathrm{s}{inh}\left(\pi{n}\right)}\right)^{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{6}}\:−\frac{\mathrm{1}}{\mathrm{2}\pi}\:\:\:… \\ $$$$\:\:\:\:\:\:\:…… \\ $$ Answered by Dwaipayan Shikari…
Question Number 12023 by tawa last updated on 09/Apr/17 $$\mathrm{Solve}\:\mathrm{simultaneously} \\ $$$$\mathrm{x}\:+\:\mathrm{y}\:−\:\sqrt{\mathrm{xy}}\:=\:\mathrm{3}\:\:\:\:\:……….\:\left(\mathrm{i}\right) \\ $$$$\sqrt{\mathrm{x}\:+\:\mathrm{1}}\:+\:\sqrt{\mathrm{y}\:+\:\mathrm{1}}\:=\:\mathrm{4}\:\:\:\:\:……….\:\left(\mathrm{ii}\right) \\ $$ Answered by Mr Chheang Chantria last updated on 10/Apr/17…