Question Number 192646 by pascal889 last updated on 24/May/23 $$\boldsymbol{\mathrm{lim}}_{\boldsymbol{\mathrm{x}}\Rightarrow\mathrm{3}} \sqrt{\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{3}}{\boldsymbol{\mathrm{x}}−\mathrm{3}}} \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{limit}} \\ $$ Answered by Subhi last updated on 24/May/23 $${lim}_{{x}\rightarrow\mathrm{3}} \sqrt{\frac{\left({x}−\mathrm{3}\right)\left({x}−\mathrm{1}\right)}{{x}−\mathrm{3}}}…
Question Number 127109 by mohammad17 last updated on 26/Dec/20 Answered by Ar Brandon last updated on 27/Dec/20 $$\begin{cases}{\mathrm{x}=\mathrm{rcos}\theta}\\{\mathrm{y}=\mathrm{rsin}\theta}\end{cases} \\ $$$${l}=\underset{\left(\mathrm{x},\mathrm{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}ln}\left(\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} }\right)…
Question Number 127106 by mohammad17 last updated on 26/Dec/20 $$\int_{\mathrm{0}} ^{\:\pi} {e}^{−{x}^{\mathrm{2}} } {dx} \\ $$ Commented by Dwaipayan Shikari last updated on 27/Dec/20 $$\frac{\sqrt{\pi}}{\mathrm{2}}−\frac{{e}^{−\pi^{\mathrm{2}}…
Question Number 61569 by Tawa1 last updated on 04/Jun/19 Commented by tanmay last updated on 04/Jun/19 Commented by tanmay last updated on 04/Jun/19 $$\angle{CDP}={x}\:\:\angle{EDP}=\mathrm{26} \\…
Question Number 192636 by pascal889 last updated on 23/May/23 $${lim}_{{x}\rightarrow\mathrm{1}\:} \left(\mathrm{3}{x}^{\mathrm{2}} \:−\mathrm{7}{x}+\mathrm{3}\right)^{\mathrm{10}} \: \\ $$$${find}\:{the}\:{limit} \\ $$ Answered by Subhi last updated on 24/May/23 $$\mathrm{1}…
Question Number 61566 by aliesam last updated on 04/Jun/19 $$\int_{\mathrm{2}} ^{\mathrm{4}} \:\frac{\sqrt{{ln}\left(\mathrm{9}−\left(\mathrm{6}−{x}\right)\right.}}{\:\sqrt{{ln}\left(\mathrm{9}−{x}\right)}\:+\:\sqrt{{ln}\left(\mathrm{3}−{x}\right)}}\:{dx} \\ $$ Answered by tanmay last updated on 04/Jun/19 $${i}\:{think}\:{question}\:{is}\:{typo}\:{error}.. \\ $$$$\int_{{a}} ^{{b}}…
Question Number 192639 by pascal889 last updated on 24/May/23 $$ \\ $$lim_(x⇒∝ ) ((3x^3 +3x^2 +1)/(5x^3 +4x^2 +x)) find the limit Answered by Subhi last…
Question Number 61565 by naka3546 last updated on 04/Jun/19 $${x}\left({y}+\mathrm{1}\right)\:+\:{y}\left({x}−\mathrm{1}\right)\:\:=\:\:\mathrm{12} \\ $$$${x}\sqrt{{y}}\:\:+\:\:{y}\sqrt{{x}}\:\:\:\:=\:\:\mathrm{21} \\ $$$${x},\:{y}\:\:\in\:\:\mathbb{R} \\ $$$${x}\:+\:{y}\:\:=\:\:? \\ $$ Commented by MJS last updated on 05/Jun/19…
Question Number 192634 by pascal889 last updated on 23/May/23 $$\int\boldsymbol{{sin}}\left(\mathrm{12}{x}\:+\mathrm{8}\:\right){dx} \\ $$ Answered by Subhi last updated on 23/May/23 $$−\frac{\mathrm{1}}{\mathrm{12}}\int−\mathrm{12}{sin}\left(\mathrm{12}{x}+\mathrm{8}\right){dx} \\ $$$$−\frac{\mathrm{1}}{\mathrm{12}}{cos}\left(\mathrm{12}{x}+\mathrm{8}\right)+{c} \\ $$ Commented…
Question Number 192629 by Engr_Jidda last updated on 23/May/23 $${Z}={f}\left({x}_{\mathrm{1},} {x}_{\mathrm{2},} {x}_{\mathrm{3}} \right)={x}_{\mathrm{1}} {x}_{\mathrm{2}} +{x}_{\mathrm{1}} ^{\mathrm{5}} −{x}_{\mathrm{2}} ^{\mathrm{2}} {x}_{\mathrm{3}} \:{find}\:{f}_{\mathrm{1}} ,{f}_{\mathrm{11}} ,{and}\:{f}_{\mathrm{21}} \\ $$ Terms…