Question Number 1964 by 123456 last updated on 26/Oct/15 $$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }=\frac{{cy}}{{x}^{\mathrm{2}} } \\ $$$${y}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 26/Oct/15…
Question Number 1963 by 123456 last updated on 26/Oct/15 $${f}:\left[\mathrm{0},+\infty\right)\rightarrow\mathbb{R},{a}:\mathbb{N}\rightarrow\mathbb{R} \\ $$$${a}_{{n}+\mathrm{1}} ={f}\left({a}_{{n}} \right)−{a}_{{n}} \\ $$$${f}\left({x}\right)\geqslant{f}\left({y}\right),\forall{x}\geqslant{y}\geqslant\mathrm{0} \\ $$$$\mathrm{does} \\ $$$${a}_{{n}} \geqslant{a}_{{m}} ,\forall{n}\geqslant{m}\geqslant\mathrm{0}? \\ $$ Answered…
Question Number 1961 by alib last updated on 26/Oct/15 $${Solve}… \\ $$$$ \\ $$$$\mathrm{1}+\:{sin}\:\mathrm{2}{x}\:=\:{sin}\:{x}\:+\:{cos}\:{x} \\ $$ Answered by Rasheed Soomro last updated on 26/Oct/15 $$\mathrm{1}+\:{sin}\:\mathrm{2}{x}\:=\:{sin}\:{x}\:+\:{cos}\:{x}…
Question Number 133028 by mohammad17 last updated on 18/Feb/21 Answered by Dwaipayan Shikari last updated on 18/Feb/21 $$\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{1},\mathrm{1}\right)} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }{{x}−{y}}={x}+{y}=\mathrm{2} \\ $$ Terms of…
Question Number 67495 by TawaTawa last updated on 28/Aug/19 Commented by Prithwish sen last updated on 28/Aug/19 $$\mathrm{sin}\left(\frac{\mathrm{5}}{\mathrm{2}}\pi+\mathrm{x}\right)=\mathrm{Cos}\left(\mathrm{x}+\frac{\mathrm{1}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{9}}\right)\Rightarrow\mathrm{Cosx}=\mathrm{Cos}\left(\mathrm{x}+\frac{\mathrm{7}}{\mathrm{18}}\right) \\ $$$$\mathrm{x}=\mathrm{2n}\pi\pm\left(\mathrm{x}+\frac{\mathrm{7}}{\mathrm{18}}\right)\:\:\:\mathrm{n}\in\:\mathbb{Z} \\ $$ Commented by TawaTawa…
Question Number 67492 by MJS last updated on 28/Aug/19 $$\mathrm{please}\:\mathrm{check}\:\mathrm{my}\:\mathrm{comment}\:\mathrm{to}\:\mathrm{qu}.\:\mathrm{67471} \\ $$$$\mathrm{I}'\mathrm{ve}\:\mathrm{been}\:\mathrm{confusing}\:\mathrm{myself}… \\ $$ Commented by MJS last updated on 28/Aug/19 �� Terms of Service…
Question Number 1956 by 123456 last updated on 26/Oct/15 $${x}_{{n}+\mathrm{1}} ={y}_{{n}} −\mathrm{1} \\ $$$${y}_{{n}+\mathrm{1}} ={x}_{{n}} +\mathrm{1} \\ $$$${x}_{\mathrm{0}} =\mathrm{1},{y}_{\mathrm{0}} =\mathrm{1} \\ $$$${x}_{\mathrm{10}} +{y}_{\mathrm{10}} =? \\…
Question Number 133027 by Engr_Jidda last updated on 18/Feb/21 $$\overset{\mathrm{2}} {\int}_{\mathrm{0}} {x}^{\mathrm{5}} \left(\mathrm{8}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx} \\ $$ Answered by Olaf last updated on 18/Feb/21 $$\Omega\:=\:\int_{\mathrm{0}}…
Question Number 1952 by prakash jain last updated on 25/Oct/15 $$\mathrm{Inequality}\:\mathrm{relation}\:\mathrm{starting}\:\mathrm{a}\:\mathrm{new}\:\mathrm{thread} \\ $$$$\frac{{x}^{{p}} }{{p}\left({p}+\mathrm{1}\right)}−\frac{\mathrm{1}}{{p}}\geqslant\frac{{x}^{{q}} }{{q}\left({q}+\mathrm{1}\right)}−\frac{\mathrm{1}}{{q}} \\ $$$${p}=\mathrm{2},\:{q}=\mathrm{1},\:{x}=\mathrm{1} \\ $$$$\frac{{x}^{{p}} }{{p}\left({p}+\mathrm{1}\right)}=\frac{\mathrm{1}}{\mathrm{6}} \\ $$$$\frac{{x}^{{q}} }{{q}\left({q}+\mathrm{1}\right)}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\:\frac{{x}^{{p}}…
Question Number 133021 by liberty last updated on 18/Feb/21 $$\mathrm{A}\:\mathrm{multiple}\:−\mathrm{choice}\:\mathrm{quiz}\:\mathrm{has}\:\mathrm{200} \\ $$$$\mathrm{questions}\:\mathrm{each}\:\mathrm{with}\:\mathrm{4}\:\mathrm{possible}\: \\ $$$$\mathrm{answers}\:\mathrm{of}\:\mathrm{which}\:\mathrm{only}\:\mathrm{1}\:\mathrm{is}\:\mathrm{the}\:\mathrm{correct} \\ $$$$\mathrm{answer}\:.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\: \\ $$$$\mathrm{that}\:\mathrm{sheer}\:\mathrm{guesswork}\:\mathrm{yields}\: \\ $$$$\mathrm{from}\:\mathrm{25}\:\mathrm{to}\:\mathrm{30}\:\mathrm{correct}\:\mathrm{answer}\:\mathrm{for} \\ $$$$\mathrm{80}\:\mathrm{of}\:\mathrm{the}\:\mathrm{200}\:\mathrm{problems}\:\mathrm{about}\:\mathrm{which} \\ $$$$\mathrm{the}\:\mathrm{student}\:\mathrm{has}\:\mathrm{no}\:\mathrm{knowledge}?\: \\…