Question Number 4702 by 314159 last updated on 22/Feb/16 $$\mathrm{Let}\:\mathrm{f}\:\mathrm{and}\:\mathrm{g}\:\mathrm{be}\:\mathrm{functions}\:\mathrm{such}\:\mathrm{that}\:\mathrm{for}\:\mathrm{all} \\ $$$$\mathrm{real}\:\mathrm{number}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y},\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)\right)=\mathrm{f}\left(\mathrm{x}\right)+\left(\mathrm{x}+\mathrm{y}\right)\mathrm{g}\left(\mathrm{y}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{g}\left(\mathrm{0}\right)+\mathrm{g}\left(\mathrm{1}\right)+\mathrm{g}\left(\mathrm{2}\right)+\mathrm{g}\left(\mathrm{3}\right)+…+\mathrm{g}\left(\mathrm{2016}\right). \\ $$ Commented by prakash jain last updated on 22/Feb/16 $$\mathrm{Let}\:\mathrm{us}\:\mathrm{try}\:\mathrm{for}\:\mathrm{trivial}\:\mathrm{solution}…
Question Number 70237 by mathmax by abdo last updated on 02/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{xsin}\left(\alpha{x}\right)}{\mathrm{1}+{x}^{\mathrm{4}} }{dx}\:{with}\:\alpha\:{real} \\ $$ Commented by mind is power last updated on…
Question Number 135771 by 7514418113 last updated on 15/Mar/21 $$ \\ $$ Commented by SWPlaysMC last updated on 15/Mar/21 $${No}\:{question}\:{available}.\:{Please}\:{enter}\:{a}\:{question}\:{for}\:{us}\:{to}\:{solve}.\:−{SWPlaysMC} \\ $$ Terms of Service…
Question Number 70232 by Joel122 last updated on 02/Oct/19 $$\mathrm{Solve} \\ $$$${xy}'\:−\:{y}\:\mathrm{sin}\:{x}\:+\:{y}^{\mathrm{5}} \:=\:\mathrm{0} \\ $$ Commented by Joel122 last updated on 02/Oct/19 $$\mathrm{I}\:\mathrm{think}\:\mathrm{it}\:\mathrm{is}\:\mathrm{a}\:\mathrm{Bernoulli}'\mathrm{s}\:\mathrm{equation} \\ $$$${y}'\:−\:\left(\frac{\mathrm{sin}\:{x}}{{x}}\right){y}\:=\:−\frac{{y}^{\mathrm{5}}…
Question Number 4696 by love math last updated on 22/Feb/16 $$\mathrm{5}×\mathrm{4}^{{x}} +\mathrm{2}×\mathrm{25}^{{x}} <\mathrm{7}×\mathrm{10}^{{x}} \\ $$ Commented by prakash jain last updated on 22/Feb/16 $$\mathrm{5}×\mathrm{2}^{\mathrm{2}{x}} +\mathrm{2}×\mathrm{5}^{\mathrm{2}{x}}…
Question Number 70230 by ozodbek last updated on 02/Oct/19 Commented by Kunal12588 last updated on 02/Oct/19 $${Is}\:{it}\:\int{x}^{{x}^{{x}} } {x}^{{x}} {x}\:{dx}\:? \\ $$ Commented by Kunal12588…
Question Number 4690 by thachan last updated on 21/Feb/16 $${x}+{y}=\mathrm{67} \\ $$$${x}−{ay}=\mathrm{7} \\ $$ Answered by 123456 last updated on 21/Feb/16 $$−{x}+{ay}=−\mathrm{7} \\ $$$$\left({a}+\mathrm{1}\right){y}=\mathrm{60} \\…
Question Number 70225 by TawaTawa last updated on 02/Oct/19 Commented by TawaTawa last updated on 02/Oct/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\:\mathrm{A}\left(\mathrm{ECD}\right)\:−\:\mathrm{A}\left(\mathrm{BAE}\right)\:\:\mathrm{in}\:\mathrm{cm}^{\mathrm{2}} \\ $$ Commented by MJS last updated on…
Question Number 135757 by Dwaipayan Shikari last updated on 15/Mar/21 $$\frac{\mathrm{1}.\mathrm{1}}{\mathrm{2}}+\frac{\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}\right)\mathrm{2}}{\mathrm{2}^{\mathrm{3}} }+\frac{\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}\right)\mathrm{3}}{\mathrm{2}^{\mathrm{4}} }+\frac{\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{5}}\right)\mathrm{5}}{\mathrm{2}^{\mathrm{5}} }+… \\ $$ Commented by Dwaipayan Shikari last updated on 15/Mar/21…
Question Number 135756 by oooooooo last updated on 15/Mar/21 Commented by dhgt last updated on 04/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com