Question Number 168424 by mathlove last updated on 10/Apr/22 $${f}\left(\mathrm{4}\right)=\mathrm{5}\:\:\:\:\:\:\:\:\:{f}\left(\mathrm{5}\right)=\mathrm{7} \\ $$$${g}\left(\mathrm{5}\right)=\mathrm{3}\:\:\:\:\:\:\:\:\:{g}\left(\mathrm{7}\right)=\mathrm{4} \\ $$$${f}\left({g}\left(\mathrm{5}\right)\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 168402 by BagusSetyoWibowo last updated on 10/Apr/22 $$\mathrm{2}{x}^{\mathrm{3}} +\mathrm{9}{x}^{\mathrm{2}} +\mathrm{13}{x}+\mathrm{6}=\mathrm{0} \\ $$$${Solve}\:{the}\:{x},\:\left({Use}\:{Cubic}\:{Formula}!\right) \\ $$$${x}_{\mathrm{1}} =? \\ $$$${x}_{\mathrm{2}} =? \\ $$$${x}_{\mathrm{3}} =? \\ $$…
Question Number 37324 by behi83417@gmail.com last updated on 11/Jun/18 Commented by math khazana by abdo last updated on 12/Jun/18 $$\left.{b}\right)\:\frac{\sqrt{\mathrm{1}+{x}}}{\mathrm{1}+\sqrt{{x}}}={x}\:\Rightarrow\:\sqrt{\mathrm{1}+{x}}\:={x}\left(\mathrm{1}+\sqrt{{x}}\right)\:{with}\:{x}\geqslant\mathrm{0}{if}\:{x}\:{real} \\ $$$$\mathrm{1}+{x}\:={x}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{2}\sqrt{{x}}\:+{x}\right)\:\Rightarrow\mathrm{1}+{x}={x}^{\mathrm{3}\:} +{x}^{\mathrm{2}} \:+\mathrm{2}{x}^{\mathrm{2}}…
Question Number 168335 by vbr last updated on 08/Apr/22 $$\frac{{x}}{\mathrm{2}}+\mathrm{4}\sqrt{{x}\:}+\mathrm{6}+\mathrm{3}+\mathrm{1}={x} \\ $$ Answered by Rasheed.Sindhi last updated on 08/Apr/22 $$\frac{{x}}{\mathrm{2}}+\mathrm{4}\sqrt{{x}\:}+\mathrm{10}={x} \\ $$$${x}+\mathrm{8}\sqrt{{x}}\:+\mathrm{20}=\mathrm{2}{x} \\ $$$$\mathrm{8}\sqrt{{x}}\:+\mathrm{20}={x} \\…
Question Number 37231 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{A}\:=\:\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{1}\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}\:\right) \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{p}_{{c}} \left({A}\right)\:{the}\:{caracteristic}\: \\ $$$${polunom}\:{of}\:{A} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{A}^{{n}} \:\:{with}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{3}\right)\:{calcypulate}\:{e}^{{tA}} \:\:\:\:\:{t}\in\:{R}\:\: \\ $$…
Question Number 37232 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{A}\:=\:\begin{pmatrix}{\mathrm{1}\:\:\:\:\:−\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}}\\{−\mathrm{1}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\mathrm{3}\:\right) \\ $$$${calculate}\:{A}^{{n}} \:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 37230 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:−\mathrm{2}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{4}}\end{pmatrix} \\ $$$${calculate}\:\:{A}^{{n}} \: \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{A}} \:\:,\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:\:{e}^{{iA}} ,\:{e}^{−{iA}} \:\:\:{and}\:{e}^{{iA}} \:+{e}^{−{iA}} \:\:. \\ $$ Terms…
Question Number 37228 by abdo.msup.com last updated on 11/Jun/18 $${E}\:{id}\:{k}\:{vectorial}\:{space}\:{and}\:{f}\in{L}\left({E}\right) \\ $$$$\left.\mathrm{1}\right){prove}\:{that}\:{if}\:{f}\:{is}\:{nilpotent}\:{with}\:{indice} \\ $$$${p}\geqslant\mathrm{1}\:,{I}\:−{f}\:{is}\:{bijective}\:{and} \\ $$$$\left({I}−{f}\right)^{−\mathrm{1}} =\sum_{{i}=\mathrm{0}} ^{{p}−\mathrm{1}} {f}^{{i}} \\ $$$$\left.\mathrm{2}\right){let}\:{E}={R}_{{n}} \left[{x}\right]\:{and}\:{f}\in{L}\left({E}\right)\:/ \\ $$$${f}\left({p}\right)\:={p}−{p}^{'} \:\:{prove}\:{that}\:{f}\:{is}\:{inversible}…
Question Number 168259 by peter frank last updated on 07/Apr/22 $$\mathrm{If}\:\mathrm{the}\:\mathrm{odds}\:\mathrm{in}\:\mathrm{favour}\:\mathrm{of}\:\mathrm{an}\:\mathrm{event} \\ $$$$\mathrm{be}\:\frac{\mathrm{1}}{\mathrm{3}}.\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\: \\ $$$$\mathrm{an}\:\mathrm{occurrence}\:\mathrm{of}\:\mathrm{the}\:\mathrm{event}. \\ $$ Answered by som(math1967) last updated on 07/Apr/22 $${if}\:{the}\:{probability}\:{of}\:{occurance}\:…