Question Number 130889 by mnjuly1970 last updated on 30/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:\:\:{advanced}\:\:{mathematcs}\:\:… \\ $$$$\:{prove}\:{that}:: \\ $$$$\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{1}+{n}^{\mathrm{2}} }\:=\frac{{csch}\left(\pi\right)−\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by mindispower…
Question Number 65352 by mathmax by abdo last updated on 28/Jul/19 $${give}\:{the}\:{integralA}_{{n}} =\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{dt}}{\mathrm{1}+{x}^{{n}} }\:\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{2} \\ $$$${at}\:{form}\:{of}\:{serie}. \\ $$ Commented by mathmax by abdo…
Question Number 130886 by Khalmohmmad last updated on 30/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}+\mathrm{2}^{{n}} }{\mathrm{3}^{{n}} } \\ $$ Answered by EDWIN88 last updated on 30/Jan/21 $$\:\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 130884 by LYKA last updated on 30/Jan/21 $${let}\:{f}\left({x}.{y}\right)=\left[{x}^{\mathrm{2}} +{xy},{x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right]\: \\ $$$$ \\ $$$${prove}\:{from}\:{defination}\:{of}\: \\ $$$${derivative}\:{that}\:: \\ $$$${Df}_{\left({x},{y}\right)} \left(\mathrm{1},\mathrm{2}\right)=\left[\mathrm{4}\boldsymbol{{x}}+\boldsymbol{{y}},−\mathrm{2}{x}+\mathrm{4}{y}\right] \\ $$$$ \\…
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Question Number 65347 by Masumsiddiqui399@gmail.com last updated on 28/Jul/19 Answered by MJS last updated on 28/Jul/19 $$\mathrm{squaring}\:\left(\Rightarrow\:\mathrm{beware}\:\mathrm{of}\:\mathrm{false}\:\mathrm{solutions}!\right) \\ $$$$\Rightarrow \\ $$$$\left({x}^{\mathrm{2}} +{x}−\mathrm{1}\right)\left({x}^{\mathrm{3}} +{x}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{1}\right)=\mathrm{0} \\…
Question Number 65345 by KanhAshish last updated on 28/Jul/19 $$\mathrm{find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}^{\mathrm{2018}} \mathrm{x}\:+\mathrm{cos}^{\mathrm{2019}} \mathrm{x}\:? \\ $$ Commented by mr W last updated on 28/Jul/19 $${maximum}\:{of}\:\mathrm{sin}^{{m}} \:{x}+\mathrm{cos}^{{n}} \:{x}\:{is}\:\mathrm{1}.…
Question Number 130876 by 0731619177 last updated on 30/Jan/21 Answered by Dwaipayan Shikari last updated on 30/Jan/21 $$\int_{−\infty} ^{\infty} {re}^{−{a}^{\mathrm{2}} \left({r}−\frac{\mathrm{6}}{{a}^{\mathrm{2}} }\right)^{\mathrm{2}} +\frac{\mathrm{36}}{{a}^{\mathrm{2}} }} {dr}…
Question Number 130875 by EDWIN88 last updated on 30/Jan/21 Answered by benjo_mathlover last updated on 30/Jan/21 $$\mathrm{y}''−\left(\frac{\mathrm{2x}}{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }\right)\mathrm{y}'+\left(\frac{\mathrm{2}}{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }\right)\mathrm{y}=\mathrm{0} \\ $$$$\:\mathrm{y}_{\mathrm{2}} '\mathrm{y}_{\mathrm{1}} −\mathrm{y}_{\mathrm{2}} \mathrm{y}_{\mathrm{1}} '=\mathrm{Ce}^{−\int\:\mathrm{a}_{\mathrm{1}}…
Question Number 65335 by Tawa1 last updated on 28/Jul/19 Terms of Service Privacy Policy Contact: info@tinkutara.com