Question Number 128626 by john_santu last updated on 09/Jan/21 $$\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\left\{\left(\mathrm{2}+\sqrt{\mathrm{2}}\right)^{\mathrm{n}} \right\}=? \\ $$$$\left\{\:\right\}\:=\:\mathrm{fractional}\: \\ $$$$ \\ $$ Commented by liberty last updated on 09/Jan/21…
Question Number 63090 by ajfour last updated on 28/Jun/19 $${s}=\sqrt{{a}^{\mathrm{2}} +\left({a}^{\mathrm{2}} −{d}\right)^{\mathrm{2}} }+\sqrt{\left({b}−{a}\right)^{\mathrm{2}} +\left({b}^{\mathrm{2}} −{a}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\sqrt{{b}^{\mathrm{2}} +\left({c}−{b}^{\mathrm{2}} \right)^{\mathrm{2}} }+{c}−{d} \\ $$$$\:{p}=\:{a}\left({a}^{\mathrm{2}} −{d}\right)+\left({a}+{b}\right)\left({b}^{\mathrm{2}}…
Question Number 128624 by john_santu last updated on 09/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mid\mathrm{x}^{\mathrm{2}} +\mathrm{1}\mid−\mid\mathrm{x}^{\mathrm{2}} −\mathrm{1}\mid}{\mid\mathrm{2000x}+\mathrm{5}\mid−\mid\mathrm{2000x}−\mathrm{5}\mid}\:=? \\ $$ Answered by liberty last updated on 09/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)+\left(\mathrm{x}^{\mathrm{2}}…
Question Number 63089 by mathmax by abdo last updated on 28/Jun/19 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{dx}}{\mathrm{1}+\left({tanx}\right)^{\sqrt{\mathrm{2}}} }\:. \\ $$ Commented by edafe ovwie last updated on 29/Jun/19…
Question Number 128620 by Ahmed1hamouda last updated on 08/Jan/21 Answered by TheSupreme last updated on 09/Jan/21 $${u}={x}+{y} \\ $$$${v}={x}−{y} \\ $$$${x}=\frac{{u}+{v}}{\mathrm{2}} \\ $$$${y}=\frac{{u}−{v}}{\mathrm{2}} \\ $$$${J}=\begin{bmatrix}{\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}}\\{\frac{\mathrm{1}}{\mathrm{2}}\:−\frac{\mathrm{1}}{\mathrm{2}}}\end{bmatrix}…
Question Number 63084 by mathmax by abdo last updated on 28/Jun/19 $${let}\:{f}\left({z}\right)\:=\frac{{cos}\left(\mathrm{3}{z}\right)}{{z}^{\mathrm{2}} } \\ $$$${calculate}\:{Res}\left({f},\mathrm{0}\right)\:. \\ $$ Commented by mathmax by abdo last updated on…
Question Number 128617 by ajfour last updated on 08/Jan/21 Commented by ajfour last updated on 08/Jan/21 $${Express}\:{x}\:{in}\:{terms}\:{of}\:{t},\:{then} \\ $$$${use}\:{it}\:{to}\:{solve}\:{x}^{\mathrm{3}} ={x}+{c}. \\ $$ Answered by ajfour…
Question Number 63080 by Enebeli Chinedu Vitalis last updated on 28/Jun/19 $$\:\int\frac{\sqrt{\frac{{sinx}}{{x}^{\mathrm{3}} }}}{{x}^{\mathrm{3}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63079 by mathmax by abdo last updated on 28/Jun/19 $${let}\:{f}\left({z}\right)\:=\frac{{sin}\left(\mathrm{2}{z}\right)}{{z}^{{n}} }\:\:\:\:{with}\:{n}\:{integr}\:{natural}\: \\ $$$${calculate}\:{Res}\left({f},\mathrm{0}\right) \\ $$ Commented by mathmax by abdo last updated on…
Question Number 63076 by YSN last updated on 28/Jun/19 $${show}\:{that}\:{f}:{A}\rightarrow{B}\:{is}\:{bijection}\:{then}\:{f}\left({A}_{\mathrm{1}} ^{{c}} \right)=\left[{f}\left({A}_{\mathrm{1}} \right)\right]^{{c}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com