Question Number 11167 by agni5 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}\mid\:\mathrm{is}\:\mathrm{even}\:\mathrm{or}\:\mathrm{odd}?\: \\ $$$$\mathrm{give}\:\mathrm{reasion}. \\ $$ Answered by mrW1 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\mid=\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)…
Question Number 142236 by mathocean1 last updated on 28/May/21 $$\mathrm{f}\:\mathrm{is}\:\mathrm{an}\:\mathrm{endomorphism}\:\mathrm{of}\:\mathrm{V}\:\mathrm{such} \\ $$$$\mathrm{that}\:\mathrm{f}\circ\mathrm{f}=−\mathrm{Id}_{\mathrm{V}} \:. \\ $$$$\mathrm{1}.\:\mathrm{Show}\:\mathrm{that}\:\mathrm{f}\:\mathrm{is}\:\mathrm{an}\:\mathrm{isomorphism}\:\mathrm{of} \\ $$$$\mathrm{V}\:\mathrm{and}\:\mathrm{express}\:\mathrm{f}^{−\mathrm{1}} \:\mathrm{in}\:\mathrm{function}\:\mathrm{of}\:\mathrm{f}. \\ $$$$\mathrm{2}.\:\mathrm{show}\:\mathrm{that}\:\overset{\rightarrow} {\mathrm{0}}\:\mathrm{is}\:\mathrm{the}\:\mathrm{one}\:\mathrm{invariant} \\ $$$$\mathrm{vector}\:\mathrm{by}\:\mathrm{f}. \\ $$$$\mathrm{3}.\:\mathrm{Given}\:\overset{\rightarrow}…
Question Number 11166 by chux last updated on 14/Mar/17 Commented by ridwan balatif last updated on 15/Mar/17 $$\mathrm{cos4}\theta=\mathrm{cos}\left(\mathrm{2}\theta+\mathrm{2}\theta\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2cos}^{\mathrm{2}} \mathrm{2}\theta−\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}\left\{\mathrm{cos}\left(\theta+\theta\right)\right\}^{\mathrm{2}} −\mathrm{1} \\…
Question Number 76700 by Mikael_786 last updated on 29/Dec/19 Commented by benjo 1/2 santuyy last updated on 29/Dec/19 $${what}\:{are}\:{you}\:{looking}\:{for}\:,{sir}? \\ $$ Commented by Mikael_786 last…
Question Number 142232 by liberty last updated on 28/May/21 Answered by MJS_new last updated on 28/May/21 $$\mathrm{1}.\:{x}=\mathrm{0} \\ $$$$\Rightarrow\:{y}^{\mathrm{3}} =\mathrm{1}\wedge{y}^{\mathrm{4}} −{y}=\mathrm{0}\:\Rightarrow\:{y}=\mathrm{1}\vee{y}=−\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mathrm{i} \\ $$$$\mathrm{2}.\:{y}=\mathrm{0}\:…\:\Rightarrow\:{x}=\mathrm{1}\vee{x}=−\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mathrm{i} \\ $$$$\mathrm{3}.\:{y}={x}\:…\:\Rightarrow\:{x}={y}=\mathrm{1}\vee{x}={y}=−\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mathrm{i}…
Question Number 76696 by benjo 1/2 santuyy last updated on 29/Dec/19 $${what}\:{is}\:{the}\:{value}\:{ln}\left(\mathrm{0}\right).? \\ $$ Answered by john santu last updated on 29/Dec/19 $${ln}\left(\mathrm{0}\right)=−\propto \\ $$$${so}\:{e}^{{ln}\left(\mathrm{0}\right)}…
Question Number 142229 by mathmax by abdo last updated on 28/May/21 $$\mathrm{deveopp}\:\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{sin}\left(\mathrm{nx}\right)}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{series}\:\left(\mathrm{x}\neq\frac{\mathrm{k}\pi}{\mathrm{n}}\right) \\ $$ Answered by mathmax by abdo last updated on 29/May/21 $$\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{2i}}{\mathrm{e}^{\mathrm{inx}} −\mathrm{e}^{−\mathrm{nx}}…
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Question Number 142228 by mathmax by abdo last updated on 28/May/21 $$\mathrm{developpf}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\mathrm{3}+\mathrm{cosx}}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 28/May/21 $$\mathrm{another}\:\mathrm{way}\:\mathrm{f}\:\mathrm{is}\:\mathrm{even}\:\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{a}_{\mathrm{o}} }{\mathrm{2}}\:+\sum_{\mathrm{n}=\mathrm{1}}…
Question Number 142231 by mathmax by abdo last updated on 28/May/21 $$\mathrm{find}\:\int\:\frac{\mathrm{ch}\left(\mathrm{x}\right)}{\mathrm{cosx}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com