Question Number 196483 by hardmath last updated on 25/Aug/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 196450 by cortano12 last updated on 25/Aug/23 $$\mathrm{one}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\:\left(\mathrm{x}−\mathrm{a}\right)\left(\mathrm{x}−\mathrm{b}\right)\left(\mathrm{x}−\mathrm{c}\right)\left(\mathrm{x}−\mathrm{d}\right)\:=\:\mathrm{9}\: \\ $$$$\:\mathrm{is}\:\mathrm{x}=\mathrm{2}.\:\mathrm{If}\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\:\mathrm{are}\:\mathrm{different}\: \\ $$$$\:\mathrm{integers}\:\mathrm{then}\:\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\:=?\: \\ $$ Answered by Rasheed.Sindhi last updated on 25/Aug/23…
Question Number 196413 by a.lgnaoui last updated on 24/Aug/23 $$\mathrm{determiner}\:\:\boldsymbol{\mathrm{a}}\:\mathrm{et}\:\boldsymbol{\mathrm{b}} \\ $$$$ \\ $$ Commented by a.lgnaoui last updated on 24/Aug/23 Commented by AST last…
Question Number 196444 by Mastermind last updated on 24/Aug/23 Commented by AST last updated on 25/Aug/23 $$=\left(\frac{\mathrm{6}+\mathrm{16}+\mathrm{6}+\mathrm{24}+\mathrm{20}+\mathrm{21}+\mathrm{144}}{\:\mathrm{24}}\right)×\frac{\mathrm{1}}{\mathrm{7}}=\frac{\mathrm{79}}{\mathrm{56}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 196412 by Erico last updated on 25/Aug/23 $$\mathrm{Prove}\:\mathrm{that}\:\underset{\:{i}} {\int}^{\:+\infty} \left(\mathrm{cos2t}+\mathrm{isin2t}\right)\mathrm{e}^{−\mathrm{t}^{\mathrm{2}} } \mathrm{dt}=\:\frac{\sqrt{\pi}}{\mathrm{2e}} \\ $$ Commented by JDamian last updated on 24/Aug/23 $${is}\:\boldsymbol{\mathrm{t}}\:{real}\:{or}\:{complex}? \\…
Question Number 196440 by mokys last updated on 24/Aug/23 $${prove}\:\mid{v}−{w}\mid\geqslant\mid{v}\mid−\mid{w}\mid \\ $$ Answered by Frix last updated on 24/Aug/23 $${v},\:{w}\:\in\mathbb{C} \\ $$$${v}={a}\mathrm{e}^{\mathrm{i}\alpha} \wedge{w}={b}\mathrm{e}^{\mathrm{i}\beta} \wedge{a},\:{b}\:\geqslant\mathrm{0} \\…
Question Number 196408 by Erico last updated on 24/Aug/23 $$\mathrm{Calcul}\:\underset{\:\mathrm{0}} {\int}^{\:+\infty} \frac{\mathrm{lnt}}{\:\sqrt{\mathrm{t}}\left(\mathrm{1}+\mathrm{t}^{\mathrm{2}} \right)}\mathrm{dt} \\ $$ Answered by qaz last updated on 24/Aug/23 $$\int_{\mathrm{0}} ^{\infty} \frac{{lnt}}{\:\sqrt{{t}}\left(\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 196436 by RoseAli last updated on 24/Aug/23 $$\int\frac{{dx}}{{x}\left({x}^{{n}} −\mathrm{1}\right)} \\ $$ Answered by MM42 last updated on 24/Aug/23 $$\int\frac{{x}^{{n}} −\mathrm{1}+{x}^{{n}} }{{x}\left({x}^{{n}} −\mathrm{1}\right)}=\int\left(\frac{\mathrm{1}}{{x}}+\frac{{x}^{{n}−\mathrm{1}} }{{x}^{{n}}…
Question Number 196406 by qaz last updated on 24/Aug/23 $$\underset{{n},{m}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+{m}} {nm}}{\left({n}+{m}\right)^{\mathrm{2}} }=? \\ $$ Answered by witcher3 last updated on 26/Aug/23 $$=−\underset{\mathrm{n},\mathrm{m}} {\sum}\int_{\mathrm{0}}…
Question Number 196401 by RoseAli last updated on 24/Aug/23 $$\mathrm{if}\:{y}=\mathrm{sin}\:{x}\: \\ $$$$\mathrm{find}\:\frac{\boldsymbol{{d}}^{\mathrm{2}} }{\boldsymbol{{d}}{y}^{\mathrm{2}} }\mathrm{co}\boldsymbol{{s}}^{\mathrm{7}} \boldsymbol{{x}} \\ $$ Answered by qaz last updated on 24/Aug/23 $$\mathrm{cos}\:^{\mathrm{7}}…