Question Number 83021 by mathmax by abdo last updated on 27/Feb/20 $${find}\:{the}\:{sequence}\:{v}_{{n}} \:{wich}\:{verify}\:{v}_{{n}} +{v}_{{n}+\mathrm{1}} =\frac{\left(−\mathrm{1}\right)^{{n}} }{\:\sqrt{{n}}}\:\:\left({n}\geqslant\mathrm{1}\right) \\ $$$${is}\:\left({v}_{{n}} \right)\:{convergente}? \\ $$ Terms of Service Privacy…
Question Number 148552 by cherokeesay last updated on 29/Jul/21 Commented by Tawa11 last updated on 29/Jul/21 $$\mathrm{good} \\ $$ Commented by cherokeesay last updated on…
Question Number 83019 by mathmax by abdo last updated on 27/Feb/20 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{\mathrm{1}−\sqrt{\mathrm{1}+{x}+{x}^{\mathrm{2}} }{cos}\left(\mathrm{2}{x}\right)}{{x}^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 17481 by ketto last updated on 06/Jul/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17480 by Arnab Maiti last updated on 06/Jul/17 $$\mathrm{why}\:\:\frac{\mathrm{d}}{\mathrm{dx}}\left(\int_{\mathrm{0}} ^{\:\:\mathrm{y}} \mathrm{e}^{\mathrm{t}} \mathrm{dt}\right)=\mathrm{e}^{\mathrm{y}} \frac{\mathrm{dy}}{\mathrm{dx}} \\ $$ Answered by mrW1 last updated on 06/Jul/17 $$\mathrm{let}\:\mathrm{F}\left(\mathrm{y}\right)=\int_{\mathrm{0}}…
Question Number 17479 by Arnab Maiti last updated on 06/Jul/17 $$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{periodic}\:\mathrm{function}\:\mathrm{with}\:\mathrm{period} \\ $$$$\mathrm{time}\:\mathrm{t}\:;\:\mathrm{prove}\:\mathrm{that}\int_{\mathrm{a}} ^{\:\mathrm{a}+\mathrm{t}} {f}\left({x}\right)\mathrm{d}{x}\:\mathrm{is}\:\mathrm{a}\:\mathrm{indipendent}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17477 by Sai dadon. last updated on 07/Jul/17 $${Given}\: \\ $$$$\left(\mathrm{4}{xy}/{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dy}/{dx}=\mathrm{1}, \\ $$$${y}=\mathrm{0},\:{x}=\mathrm{0} \\ $$$${show}\:{that}\:\sqrt{{x}}\left({x}^{\mathrm{2}} −\mathrm{5}{y}^{\mathrm{2}} \right)=\mathrm{1} \\ $$$$ \\ $$$$…
Question Number 148550 by mathdanisur last updated on 29/Jul/21 $$\boldsymbol{{A}}\left(\mathrm{0};\mathrm{0}\right)\:\:;\:\:\boldsymbol{{B}}\left(−\mathrm{2};\mathrm{4}\right)\:\:{and}\:\:\boldsymbol{{C}}\left(−\mathrm{6};\mathrm{14}\right) \\ $$$${if}\:{the}\:{triangle}\:{has}\:{vertices},\:{find}\:{the} \\ $$$${lenght}\:{of}\:{the}\:{median}\:{drawn}\:{from} \\ $$$${the}\:{vertx}\:\boldsymbol{{C}} \\ $$ Commented by MJS_new last updated on 29/Jul/21…
Question Number 83010 by mathmax by abdo last updated on 26/Feb/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ch}\left({cos}\left(\mathrm{2}{x}\right)\right)}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17475 by Arnab Maiti last updated on 06/Jul/17 $$\mathrm{Prove}\:\mathrm{that}\:\int_{\mathrm{e}} ^{\mathrm{e}^{\mathrm{2}} } \frac{\mathrm{ln}{x}}{\left(\mathrm{1}+\mathrm{ln}{x}\right)^{\mathrm{2}} }\mathrm{d}{x}=\frac{\mathrm{e}}{\mathrm{6}}\left(\mathrm{2e}−\mathrm{3}\right) \\ $$ Answered by ajfour last updated on 06/Jul/17 $$\mathrm{lnx}=\mathrm{t}\:\:\:\Rightarrow\:\:\:\frac{\mathrm{dx}}{\mathrm{x}}=\mathrm{dt}\:\:\mathrm{or}\:\:\mathrm{dx}=\mathrm{e}^{\mathrm{t}}…