Question Number 211787 by hardmath last updated on 20/Sep/24 $$\mathrm{Compare}: \\ $$$$ \\ $$$$\mathrm{5}^{\mathrm{100}} \:,\:\mathrm{6}^{\mathrm{91}} \:,\:\mathrm{7}^{\mathrm{90}} \:,\:\mathrm{8}^{\mathrm{85}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 211793 by Abelrodas last updated on 20/Sep/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 211761 by MATHEMATICSAM last updated on 20/Sep/24 $$\mathrm{If}\:{x}\:=\:\frac{\mathrm{4}{a}^{\mathrm{2}} {b}}{\mathrm{4}{b}^{\mathrm{2}} \:+\:\mathrm{1}}\:\mathrm{where}\:{b}\:>\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{then} \\ $$$$\frac{\sqrt{{a}^{\mathrm{2}} \:+\:{x}}\:+\:\sqrt{{a}^{\mathrm{2}} \:−\:{x}}}{\:\sqrt{{a}^{\mathrm{2}} \:+\:{x}}\:−\:\sqrt{{a}^{\mathrm{2}} \:−\:{x}}}\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 211778 by Mr.D.N. last updated on 20/Sep/24 $$\:\:\mathrm{Show}\:\mathrm{that}: \\ $$$$\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} \:\boldsymbol{\mathrm{sin}}^{\mathrm{4}} \boldsymbol{\mathrm{x}}\:\mathrm{2}\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{dx}}\:=\:\frac{\mathrm{3}\pi\:−\mathrm{4}}{\mathrm{192}} \\ $$ Commented by BHOOPENDRA last updated on 20/Sep/24 $${this}\:{result}\:{can}\:{to}\:{possible}…
Question Number 211795 by Abelrodas last updated on 20/Sep/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 211753 by alcohol last updated on 19/Sep/24 $${find}\:{all}\:\left({n},{m}\right)\:{such}\:{that}\:\frac{{n}^{\mathrm{2}} −{m}}{{m}^{\mathrm{2}} −{n}}\:\in\:\mathbb{Z} \\ $$ Answered by Frix last updated on 20/Sep/24 $$\mathrm{There}\:\mathrm{are}\:\mathrm{infinitely}\:\mathrm{many}\:\mathrm{solutions}. \\ $$$$\mathrm{3}\:\mathrm{ways}\:\mathrm{to}\:\mathrm{find}\:\mathrm{some}: \\…
Question Number 211738 by MrGaster last updated on 19/Sep/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{\mathrm{1}}{\boldsymbol{{x}}^{\mathrm{5}} +\mathrm{1}\:}\boldsymbol{{dx}}. \\ $$$$ \\ $$ Commented by Frix last updated on 19/Sep/24 $$=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}}…
Question Number 211732 by BaliramKumar last updated on 19/Sep/24 Answered by TonyCWX08 last updated on 19/Sep/24 $${Using}\:{quadratic}\:{formula} \\ $$$${x}=\frac{{sin}^{\mathrm{2}} \theta\pm\sqrt{{sin}^{\mathrm{4}} \theta\:+\:\mathrm{4}{cos}^{\mathrm{2}} \theta}}{\mathrm{2}} \\ $$$$ \\…
Question Number 211749 by universe last updated on 19/Sep/24 $${volume}\:{bounded}\:{by}\:{the}\:{curve} \\ $$$$\:{z}\:=\:\sqrt{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{y}^{\mathrm{2}} }\:\:\:{and}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\:\mathrm{6}^{\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 211750 by Alijumaaxyz last updated on 19/Sep/24 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{a}^{\mathrm{1}/{x}} +{b}^{\mathrm{1}/{x}} }{\mathrm{2}}\right)^{{x}} ;\left({a},{b}\right)\in\mathbb{R}_{+} ^{\ast} \\ $$ Answered by mehdee7396 last updated on 19/Sep/24 $${li}\underset{{x}\rightarrow\infty}…