Question Number 12861 by Gauri last updated on 04/May/17 $${change}\mathrm{0}.\mathrm{35}\overset{−} {\mathrm{6}}\:{into}\:{p}/{q}\:{form} \\ $$$$ \\ $$ Answered by mrW1 last updated on 04/May/17 $${x}=\mathrm{0}.\mathrm{35}\bar {\mathrm{6}}=\mathrm{0}.\mathrm{356666666}…… \\…
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Question Number 78395 by john santu last updated on 17/Jan/20 $${what}\:{minimum}\:{value}\:{of}\: \\ $$$${y}\:=\:\mathrm{sin}\:{x}+\mathrm{cosec}\:{x}+\mathrm{2}\: \\ $$ Commented by jagoll last updated on 17/Jan/20 $${let}\:\mathrm{sin}\:{x}={t} \\ $$$${y}={t}\:+\frac{\mathrm{1}}{{t}}+\mathrm{2}…
Question Number 78392 by jagoll last updated on 17/Jan/20 Answered by john santu last updated on 17/Jan/20 $${let}\:{h}=\:\mathrm{cos}\:{x}\sqrt{\mathrm{cos}\:\mathrm{2}{x}}\sqrt[{\:\:\mathrm{3}}]{\mathrm{cos}\:\mathrm{3}{x}}\:\sqrt[{\mathrm{4}}]{\mathrm{cos}\:\mathrm{4}{x}}…\:\sqrt[{{n}}]{\mathrm{cos}\:{nx}} \\ $$$${ln}\left({h}\right)=\:{ln}\left(\mathrm{cos}\:{x}\right)+\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{cos}\:\mathrm{2}{x}\right)+\frac{\mathrm{1}}{\mathrm{3}}{ln}\left(\mathrm{cos}\:\mathrm{3}{x}\right)+…+\frac{\mathrm{1}}{{n}}{ln}\left(\mathrm{cos}\:{nx}\right) \\ $$$$\frac{{dh}}{{dx}}=\frac{−\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}}−\frac{\mathrm{sin}\:\mathrm{2}{x}}{\mathrm{cos}\:\mathrm{2}{x}}−\frac{\mathrm{sin}\:\mathrm{3}{x}}{\mathrm{cos}\:\mathrm{3}{x}}−…−\frac{\mathrm{sin}\:{nx}}{\mathrm{cos}\:{nx}} \\ $$$${now}\:{we}\:{use}\:{L}'{Hopital}\:{rule} \\…
Question Number 78390 by mr W last updated on 17/Jan/20 $${solve}\:{for}\:\boldsymbol{{different}}\:{digits}\:{a},{b},{c},{d}\: \\ $$$${such}\:{that}\:\boldsymbol{{abcd}}=\left(\boldsymbol{{ab}}+\boldsymbol{{cd}}\right)^{\mathrm{2}} . \\ $$ Answered by MJS last updated on 17/Jan/20 $$\mathrm{0000} \\…
Question Number 12855 by kunalshukla95040 last updated on 04/May/17 $${f}\left({x}\right)=\left[\mathrm{1}−\left({x}−\mathrm{3}\right)^{\mathrm{4}} \right]^{\mathrm{1}/\mathrm{7}} \\ $$$${find}\:{f}^{−\mathrm{1}} \left({x}\right). \\ $$ Answered by linkelly0615 last updated on 04/May/17 $${f}\left({x}\right)=\left[\mathrm{1}−\left({x}−\mathrm{3}\right)^{\mathrm{4}} \right]^{\mathrm{1}/\mathrm{7}}…
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Question Number 143920 by mohammad17 last updated on 19/Jun/21 Answered by Dwaipayan Shikari last updated on 19/Jun/21 $${a}^{\mathrm{2}} {u}={Ce}^{\pm{ax}+{t}} \\ $$ Commented by mohammad17 last…
Question Number 143923 by Sravanth last updated on 19/Jun/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left[\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{sin}\left(\frac{\mathrm{2}\pi}{\mathrm{3}}\right)\right)\right]? \\ $$ Commented by mr W last updated on 19/Jun/21 $$\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{sin}\left(\frac{\mathrm{2}\pi}{\mathrm{3}}\right)\right)=\frac{\pi}{\mathrm{3}} \\ $$…
Question Number 12846 by Joel577 last updated on 04/May/17 Commented by Joel577 last updated on 04/May/17 $${How}\:{to}\:{find}\:{CE}\:? \\ $$ Answered by mrW1 last updated on…