Question Number 98470 by M±th+et+s last updated on 14/Jun/20 $${prove}\:{that}\:{asymtotes}\: \\ $$$${y}={mx}−\frac{\partial{x}\phi_{{K}} }{\phi_{{n}} } \\ $$$${k}={n}−\mathrm{1} \\ $$$$ \\ $$$${cuts}\:{the}\:{curve}\: \\ $$$$\underset{{r}=\mathrm{0}} {\overset{{n}} {\sum}}\phi_{{r}} \left(\frac{{y}}{{x}}\right){x}^{{r}}…
Question Number 163998 by mathocean1 last updated on 12/Jan/22 $${Hi}… \\ $$$${Calculate}: \\ $$$$\int−\frac{\lambda}{\mathrm{4}\pi\varepsilon_{\mathrm{0}} }\left[\frac{\sqrt{\mathrm{1}+\left(\pi{u}/\mathrm{2}\right)^{\mathrm{2}} }}{\left(\mathrm{1}+{u}^{\mathrm{2}} \right)^{\mathrm{3}/\mathrm{2}} }\right]{du} \\ $$ Terms of Service Privacy Policy…
Question Number 98461 by mr W last updated on 14/Jun/20 Commented by mr W last updated on 14/Jun/20 $${A}\:{long}\:{rope}\:{with}\:{mass}\:\boldsymbol{{m}}\:{and}\:{length}\: \\ $$$$\boldsymbol{{L}}\:{is}\:{fixed}\:{at}\:{one}\:{end}\:{on}\:{the}\:{ceiling} \\ $$$${at}\:{point}\:{A}.\:{At}\:{its}\:{other}\:{end}\:{a}\:{mass}\:\boldsymbol{{M}} \\ $$$${is}\:{connected}.\:{The}\:{long}\:{rope}\:{is}\:{hanged}…
Question Number 32918 by mondodotto@gmail.com last updated on 06/Apr/18 Commented by mondodotto@gmail.com last updated on 06/Apr/18 $$\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{help}}\:\boldsymbol{\mathrm{this}}! \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 98453 by rb222 last updated on 14/Jun/20 $$\frac{{m}}{\mathrm{1}×\mathrm{2}}×\frac{{m}}{\mathrm{2}×\mathrm{3}}×\frac{{m}}{\mathrm{3}×\mathrm{4}}×…×\frac{{m}}{\mathrm{99}×\mathrm{100}}=\mathrm{99} \\ $$$$ \\ $$$${m}? \\ $$ Commented by mr W last updated on 14/Jun/20 $$\frac{{m}^{\mathrm{99}}…
Question Number 32914 by mondodotto@gmail.com last updated on 06/Apr/18 Commented by mrW2 last updated on 06/Apr/18 $$\left({b}\right) \\ $$$$\int\frac{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}\:{dx} \\ $$$$=−\int\frac{\mathrm{cos}\:{x}+\mathrm{sin}\:{x}}{\mathrm{sin}\:{x}−\mathrm{cos}\:{x}}\:{dx} \\ $$$$=−\int\frac{\mathrm{1}}{\mathrm{sin}\:{x}−\mathrm{cos}\:{x}}\:{d}\left(\mathrm{sin}\:{x}−\mathrm{cos}\:{x}\right) \\ $$$$=−\mathrm{ln}\:\mid\mathrm{sin}\:{x}−\mathrm{cos}\:{x}\mid+{C}…
Question Number 32912 by mondodotto@gmail.com last updated on 06/Apr/18 $$\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{x}} \\ $$$$\:\boldsymbol{\mathrm{log}}\sqrt{\boldsymbol{{x}}}=\sqrt{\boldsymbol{\mathrm{log}{x}}} \\ $$ Answered by mrW2 last updated on 06/Apr/18 $${x}\geqslant\mathrm{0} \\ $$$$\mathrm{log}\:{x}\geqslant\mathrm{0}\Rightarrow{x}\geqslant\mathrm{1} \\…
Question Number 32908 by artibunja last updated on 06/Apr/18 $$\mathrm{2018}^{\mathrm{2017}} \:>\:\mathrm{2017}^{\mathrm{2018}} \:{or} \\ $$$$\mathrm{2018}^{\mathrm{2017}} \:<\:\mathrm{2017}^{\mathrm{2018}} \:\:? \\ $$ Commented by Tinkutara last updated on 06/Apr/18…
Question Number 163976 by Eric002 last updated on 12/Jan/22 $${plot}\:{the}\:{single}-{side}\:{and}\:{double}-{side} \\ $$$${line}\:{spectrum}\:{of}\:{g}\left({t}\right) \\ $$$${g}\left({t}\right)=\mathrm{2}{sin}^{\mathrm{2}} \left(\mathrm{10}^{\mathrm{3}} \pi{t}\right)−\mathrm{10}{sin}\left(\mathrm{10}^{\mathrm{3}} \pi{t}−\frac{\pi}{\mathrm{6}}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 163972 by Eric002 last updated on 12/Jan/22 Commented by Eric002 last updated on 12/Jan/22 $${find}\:{the}\:{trigonometric}\:{fourier}\:{series}\: \\ $$$${for}\:{g}\left({t}\right)\:{and}\:{f}\left({t}\right) \\ $$ Terms of Service Privacy…