Question Number 2304 by Ashis last updated on 14/Nov/15 $${if}\:\:{x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{9}=\:\mathrm{0}\:\:{then}\:{x}=? \\ $$ Answered by prakash jain last updated on 14/Nov/15 $${x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{9} \\ $$$${x}=\frac{−\mathrm{5}\pm\sqrt{\left(−\mathrm{5}\right)^{\mathrm{2}}…
Question Number 2300 by Syaka last updated on 14/Nov/15 $${if}\:{f}\left(\mathrm{4}{xy}\right)\:=\:\mathrm{2}{y}\left({f}\left({x}\:−\:{y}\right)\:+\:{f}\left({x}\:+\:{y}\right)\right)\:{and}\:{f}\left(\mathrm{5}\right)\:=\:\mathrm{3} \\ $$$${what}\:{is}\:{the}\:{value}\:{of}\:{f}\left(\mathrm{2015}\right)\:=\:? \\ $$ Commented by Rasheed Soomro last updated on 17/Nov/15 $$\mathcal{EXCELLENT}\:! \\ $$…
Question Number 133369 by mnjuly1970 last updated on 21/Feb/21 $$\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{calculus}\:\left(\mathrm{2}\right)….. \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{1}} ^{\:\mathrm{2}} \left(\frac{{ln}\left(\frac{{x}+\mathrm{2}}{{x}+\mathrm{1}}\right)}{{x}}\right){dx}\:=??? \\ $$$$ \\ $$ Commented by Dwaipayan Shikari last…
Question Number 133368 by otchereabdullai@gmail.com last updated on 21/Feb/21 $$\mathrm{Assuming}\:\mathrm{that}\:\mathrm{the}\:\mathrm{world}\:\mathrm{population} \\ $$$$\mathrm{is}\:\mathrm{6billion}\:\mathrm{and}\:\mathrm{total}\:\mathrm{world}\:\mathrm{trip}\:\mathrm{is} \\ $$$$\mathrm{4}.\mathrm{8billion}. \\ $$$$\left(\mathrm{a}\right)\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{country}\:\mathrm{potential}\: \\ $$$$\mathrm{generation}\:\mathrm{index}\:\left(\mathrm{CPGI}\right)\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{country} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{interprete}\:\mathrm{your}\:\mathrm{results}\:\mathrm{in}\:\left(\mathrm{a}\right)\:\mathrm{above}. \\ $$$$ \\…
Question Number 67835 by mind is power last updated on 01/Sep/19 $$\int_{\mathrm{0}} ^{\mathrm{2}} {x}\left(\mathrm{8}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx} \\ $$ Answered by MJS last updated on 01/Sep/19…
Question Number 133371 by I want to learn more last updated on 21/Feb/21 Answered by mr W last updated on 22/Feb/21 Commented by mr W…
Question Number 2297 by prakash jain last updated on 14/Nov/15 $${a}_{\mathrm{0}} ={k} \\ $$$${a}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{1}+{a}_{{n}} } \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}{a}_{{n}} =? \\ $$ Commented by Yozzi…
Question Number 2292 by Filup last updated on 14/Nov/15 $$\mathrm{This}\:\mathrm{isn}'\mathrm{t}\:\mathrm{a}\:\mathrm{question}. \\ $$$$\mathrm{Just}\:\mathrm{wanted}\:\mathrm{to}\:\mathrm{say}\:\mathrm{that}\:\mathrm{since}\:\mathrm{I}\:\mathrm{joined} \\ $$$$\mathrm{here}\:\mathrm{I}\:\mathrm{have}\:\mathrm{learnt}\:\mathrm{so}\:\mathrm{much}.\:\mathrm{You}\:\mathrm{guys} \\ $$$$\mathrm{are}\:\mathrm{awesome}! \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 67826 by peter frank last updated on 31/Aug/19 Commented by gunawan last updated on 01/Sep/19 $${x}=\mathrm{1}+{a}+{a}^{\mathrm{2}} +{a}^{\mathrm{3}} +.. \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{1}−{a}}\:\Rightarrow\mathrm{1}−\:{a}=\frac{\mathrm{1}}{{x}}\Rightarrow\:{a}=\mathrm{1}−\frac{\mathrm{1}}{{x}}=\frac{{x}−\mathrm{1}}{{x}} \\ $$$${y}=\mathrm{1}+{b}+{b}^{\mathrm{2}} +{b}^{\mathrm{3}}…
Question Number 133360 by liberty last updated on 21/Feb/21 $$\int\:\sqrt{\mathrm{1}+\mathrm{sec}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Commented by som(math1967) last updated on 21/Feb/21 $$\int\sqrt{\frac{\mathrm{1}+{cosx}}{{cosx}}}{dx} \\ $$$$\sqrt{\mathrm{2}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}}{dx} \\ $$$$=\frac{\sqrt{\mathrm{2}}}{\:\sqrt{\mathrm{2}}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{2}}…