Question Number 117250 by mathmax by abdo last updated on 10/Oct/20 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\:\:\frac{\mathrm{sin}\left(\mathrm{xsh}\left(\mathrm{2x}\right)\right)−\mathrm{sh}\left(\mathrm{x}\:\mathrm{sin}\left(\mathrm{2x}\right)\right)}{\mathrm{x}^{\mathrm{3}} } \\ $$ Answered by AbduraufKodiriy last updated on 10/Oct/20 $$\boldsymbol{{sinh}}\left(\boldsymbol{{x}}\right)=\frac{\boldsymbol{{e}}^{\boldsymbol{{x}}} −\boldsymbol{{e}}^{−\boldsymbol{{x}}}…
Question Number 117251 by mathmax by abdo last updated on 10/Oct/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)=\:\mathrm{ln}\left(\mathrm{3}−\mathrm{sin}\left(\mathrm{2x}\right)\right) \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 116990 by Bird last updated on 08/Oct/20 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:−\mathrm{1}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{cosA}\:{and}\:{chA} \\ $$$$\left.\mathrm{3}\right){determine}\:{sinA}\:{and}\:{shA} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 116771 by 675480065 last updated on 06/Oct/20 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}−\frac{\mathrm{y}}{\mathrm{x}^{\mathrm{2}} }=\frac{\sqrt{\mathrm{y}^{\mathrm{2}} −\mathrm{1}}}{\mathrm{x}} \\ $$$$\mathrm{Please}\:\mathrm{help} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 51185 by Abdo msup. last updated on 24/Dec/18 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{{n}}{\left({n}+\mathrm{1}\right)^{\mathrm{4}} \left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by Abdo msup. last updated on 30/Dec/18…
Question Number 51167 by Tawa1 last updated on 24/Dec/18 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\left(\mathrm{a}\right)\:\:\mathrm{If}\:\:\mid\mathrm{z}_{\mathrm{1}} \:+\:\mathrm{z}_{\mathrm{2}} \mid\:=\:\mid\mathrm{z}_{\mathrm{1}} \:−\:\mathrm{z}_{\mathrm{2}} \mid,\:\:\mathrm{the}\:\mathrm{difference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{arguements}\:\mathrm{of}\:\mathrm{z}_{\mathrm{1}} \\ $$$$\mathrm{and}\:\mathrm{z}_{\mathrm{2}} \:\mathrm{is}\:\:\frac{\pi}{\mathrm{2}} \\ $$$$\left(\mathrm{b}\right)\:\:\mathrm{If}\:\:\mathrm{arg}\left\{\frac{\mathrm{z}_{\mathrm{1}} \:+\:\mathrm{z}_{\mathrm{2}} }{\mathrm{z}_{\mathrm{1}} \:−\:\mathrm{z}_{\mathrm{2}} }\right\}\:=\:\frac{\pi}{\mathrm{2}}\:,\:\:\:\mathrm{then}\:\:\:\:\mid\mathrm{z}_{\mathrm{1}}…
Question Number 116556 by Bird last updated on 04/Oct/20 $${let}\:{g}\left({x}\right)={ln}\left({cos}\left({ax}\right)\right) \\ $$$${developp}\:{g}\:{at}\:{fourier}\:{serie} \\ $$$$\left({a}\:{real}\:{given}\right) \\ $$ Answered by maths mind last updated on 05/Oct/20 $${let}…
Question Number 116555 by Bird last updated on 04/Oct/20 $${find}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{3}} \left({n}+\mathrm{2}\right)^{\mathrm{4}} } \\ $$ Answered by Olaf last updated on 05/Oct/20…
Question Number 116376 by bemath last updated on 03/Oct/20 $$\mathrm{Let}\:\mathrm{f}\:\mathrm{be}\:\mathrm{a}\:\mathrm{function}\:\mathrm{defined}\:\mathrm{on}\:\mathrm{non}\:\mathrm{zero}\:\: \\ $$$$\mathrm{real}\:\mathrm{numbers}\:\mathrm{such}\:\mathrm{that}\:\frac{\mathrm{27}\:\mathrm{f}\left(−\mathrm{x}\right)}{\mathrm{x}}\:−\mathrm{x}^{\mathrm{2}} \:\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:=−\mathrm{2x}^{\mathrm{2}} \\ $$$$\mathrm{for}\:\forall\mathrm{x}\:\neq\:\mathrm{0}\:.\:\mathrm{Find}\:\rightarrow\begin{cases}{\mathrm{f}\left(\mathrm{x}\right)}\\{\mathrm{f}\left(\mathrm{3}\right)}\end{cases}\:?\: \\ $$ Answered by bobhans last updated on 03/Oct/20 $$\mathrm{Letting}\:\mathrm{x}\:=\:−\mathrm{y},\:\mathrm{we}\:\mathrm{get}\:…
Question Number 116365 by soumyasaha last updated on 03/Oct/20 Answered by Olaf last updated on 03/Oct/20 $${f}\left({x}\right)\:=\:\underset{{k}=\mathrm{0}} {\overset{\mathrm{3}} {\sum}}\frac{{f}^{\left({k}\right)} \left({a}\right)}{{k}!}\left({x}−{a}\right)^{{k}} +{R}_{\mathrm{3}} \left({x}\right) \\ $$$${f}^{\left(\mathrm{0}\right)} \left({a}\right)\:=\:{f}\left(\frac{\pi}{\mathrm{2}}\right)\:=\:\mathrm{cos}\left(\frac{\pi}{\mathrm{2}}\right)\:=\:\mathrm{0}…