Question Number 196435 by RoseAli last updated on 24/Aug/23 Commented by Denis last updated on 24/Aug/23 Commented by RoseAli last updated on 24/Aug/23 $$\boldsymbol{\mathrm{thanks}} \\…
Question Number 196429 by SANOGO last updated on 24/Aug/23 Answered by Frix last updated on 24/Aug/23 $$\mathrm{ln}\:\left(\underset{{k}=\mathrm{1}} {\overset{\infty} {\prod}}\:\left(\sqrt[{{n}}]{\mathrm{e}}\left(\frac{\mathrm{2}}{\pi}\right)^{\frac{\mathrm{1}}{{k}^{\mathrm{2}} }} \right)\right)\:=\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{ln}\:\mathrm{2}\:−\mathrm{ln}\:\pi}{{k}^{\mathrm{2}} }+\frac{\mathrm{1}}{{n}}\right)\:= \\…
Question Number 196396 by mathlove last updated on 24/Aug/23 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left[\left(−\mathrm{1}\right)^{{n}} \centerdot{n}\right]=? \\ $$ Commented by mokys last updated on 24/Aug/23 $$\infty \\ $$ Terms…
Question Number 196399 by tri26112004 last updated on 24/Aug/23 $${a}/\:\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{2}\right)} {\mathrm{lim}}\:\left(\mathrm{1}+{xy}\right)^{\frac{\mathrm{2}}{{x}^{\mathrm{2}} +{xy}}} \\ $$$${b}/\:\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){sin}\left(\frac{\mathrm{1}}{{xy}}\right) \\ $$$${c}/\underset{\left({x},{y}\right)\rightarrow\left(\infty,\infty\right)} {\mathrm{lim}}\:\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){e}^{−\left({x}+{y}\right)} \\ $$ Answered…
Question Number 196398 by tri26112004 last updated on 24/Aug/23 $${y}={f}\left({x}\right) \\ $$$${Give}:\:{xy}−{y}'={x}^{\mathrm{2}} \\ $$$${Find}\:{y}=¿ \\ $$ Commented by mr W last updated on 24/Aug/23 $${d}.{e}.\:{of}\:{type}\:{y}'+{p}\left({x}\right){y}={q}\left({x}\right)…
Question Number 196427 by Erico last updated on 24/Aug/23 $$\mathrm{If}\:\:{f}\left({x}\right)=\underset{\:\mathrm{0}} {\int}^{\:{x}} \frac{{dt}}{{t}+{e}^{−{f}\left({t}\right)} },\:\mathrm{determine}\:{f}\left({x}\right) \\ $$ Answered by witcher3 last updated on 25/Aug/23 $$\mathrm{f}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\mathrm{f}'\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{x}+\mathrm{e}^{−\mathrm{f}\left(\mathrm{x}\right)}…
Question Number 196395 by Amidip last updated on 24/Aug/23 Commented by mr W last updated on 24/Aug/23 $${what}'{s}\:{your}\:{question}? \\ $$ Terms of Service Privacy Policy…
Question Number 196394 by Erico last updated on 24/Aug/23 $$\mathrm{If}\:\:{f}\left({x}\right)=\underset{\:\mathrm{0}} {\int}^{\:{x}} {e}^{−{f}\left({t}\right)} {dt} \\ $$$$\mathrm{Determine}\:{f}\left({x}\right) \\ $$ Answered by mr W last updated on 24/Aug/23…
Question Number 196388 by sonukgindia last updated on 24/Aug/23 Answered by AST last updated on 24/Aug/23 $$\phi\left(\mathrm{20}\right)=\phi\left(\mathrm{4}\right)\phi\left(\mathrm{5}\right)=\left(\mathrm{2}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{5}−\mathrm{1}\right)=\mathrm{8} \\ $$ Answered by BaliramKumar last updated…
Question Number 196423 by aaaspots last updated on 24/Aug/23 $$ \\ $$Consider a complex 4×4 full-rank matrix H. The QR decomposition and singular value decomposition…