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Question Number 127315 by mnjuly1970 last updated on 28/Dec/20 $$\:\:\:\:\:\:\:\:\:…{advanced}\:\:\:{calculud}… \\ $$$$\:\:\:\:{compute}\:\:::: \\ $$$$\:\:\:\:\:\psi\left({i}\right)=?? \\ $$$$\:\:\:\:\:\:\: \\ $$ Commented by Dwaipayan Shikari last updated on…
Question Number 61778 by naka3546 last updated on 08/Jun/19 $${Any}\:\:{integer}\left({s}\right)\:\:{which}\:\:{fulfill}\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{n}^{\mathrm{3}} \:−\:\mathrm{5}{n}^{\mathrm{2}} \:+\:\mathrm{5}{n}\:+\:\mathrm{1}\:\:\mid\:\:{n}!\:\:\:\:? \\ $$ Answered by MJS last updated on 08/Jun/19 $$\frac{{n}!}{{n}^{\mathrm{3}} −\mathrm{5}{n}^{\mathrm{2}}…
Question Number 192851 by MATHEMATICSAM last updated on 29/May/23 $$\mathrm{Solve}: \\ $$$$\frac{\mathrm{log}_{{a}^{\mathrm{2}} \sqrt{{x}}} \:{a}}{\mathrm{log}_{\mathrm{2}{x}} \:{a}}\:+\:\mathrm{log}_{{ax}} \:{a}\:.\:\mathrm{log}_{\frac{\mathrm{1}}{{a}}} \:\mathrm{2}{x}\:=\:\mathrm{0} \\ $$ Commented by Frix last updated on…
Question Number 61775 by arcana last updated on 08/Jun/19 Commented by arcana last updated on 08/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 192846 by mathlove last updated on 29/May/23 $$\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{3}{h}}{\:\sqrt[{\mathrm{5}}]{\mathrm{3}{h}+{x}}−\sqrt[{\mathrm{5}}]{{x}}}=? \\ $$ Answered by MM42 last updated on 29/May/23 $${for}\:\:{f}\left({x}\right)=\sqrt[{\mathrm{5}}]{{x}}\:\Rightarrow{f}'\left({x}\right)=\frac{\mathrm{1}}{\mathrm{5}\sqrt[{\mathrm{5}}]{{x}^{\mathrm{4}} }} \\ $$$${lim}_{{h}\rightarrow\mathrm{0}} \frac{\mathrm{3}{h}}{\:\sqrt[{\mathrm{5}}]{\mathrm{3}{h}+{x}}−\sqrt[{\mathrm{5}}]{{x}}}=\frac{\mathrm{1}}{{f}'\left({x}\right)}=\mathrm{5}\sqrt[{\mathrm{5}}]{{x}^{\mathrm{4}}…
Question Number 192841 by TUN last updated on 29/May/23 Answered by witcher3 last updated on 02/Jun/23 $$\mathrm{f}\left(\mathrm{a}\right)=\int_{−\mathrm{a}} ^{\mathrm{a}} \frac{\mathrm{dx}}{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)\left(\mathrm{1}+\mathrm{e}^{\mathrm{bx}} \right)}\leqslant\int_{−\mathrm{a}} ^{\mathrm{a}} \frac{\mathrm{dx}}{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}=\mathrm{2tan}^{−\mathrm{1}} \left(\mathrm{a}\right)…
Question Number 127306 by Study last updated on 28/Dec/20 Commented by Study last updated on 28/Dec/20 $${help}\:{me} \\ $$ Commented by mr W last updated…
Question Number 127307 by Study last updated on 28/Dec/20 Commented by Dwaipayan Shikari last updated on 28/Dec/20 $${n}=\mathrm{23} \\ $$ Commented by Study last updated…