Question Number 64284 by Tawa1 last updated on 16/Jul/19 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{integer}\:\mathrm{solution}\:\:\:\:\:\:\:\mathrm{3x}^{\mathrm{2}} \:+\:\mathrm{1}\:\:=\:\:\mathrm{4y}^{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129819 by Adel last updated on 19/Jan/21 $$\underset{{x}\rightarrow\mathrm{100}} {\mathrm{lim}}\left[\left(\mathrm{x}^{\mathrm{100}} −\mathrm{100}^{\mathrm{x}} \right)\frac{\mathrm{1}}{\mathrm{x}−\mathrm{100}}\right]=? \\ $$$$\mathrm{whit}\:\mathrm{out}\:\mathrm{Hopital}\:\mathrm{Rols} \\ $$$$\mathrm{pleas}\:\mathrm{answer} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 129816 by BHOOPENDRA last updated on 19/Jan/21 Answered by mathmax by abdo last updated on 19/Jan/21 $$\int\int\int_{\mathrm{C}_{\mathrm{f}} } \mathrm{z}\:\mathrm{e}^{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} } \mathrm{dxdydz}\:=_{\begin{cases}{\mathrm{x}=\mathrm{rcos}\theta}\\{\mathrm{y}=\mathrm{rsin}\theta}\end{cases}} \:\:\:\int_{\mathrm{2}}…
Question Number 129815 by stelor last updated on 19/Jan/21 $$\mathrm{Calculer}\:\mathrm{les}\:\mathrm{d}\acute {\mathrm{e}riv}\acute {\mathrm{e}es}\:\mathrm{n}-\mathrm{i}\grave {\mathrm{e}mes}\:\mathrm{en}\:\mathrm{0}\:\mathrm{de}\: \\ $$$$\mathrm{la}\:\mathrm{fonction}\:\mathrm{d}\acute {\mathrm{e}finie}\:\mathrm{par}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{x}^{\mathrm{4}} } \\ $$ Answered by mathmax by abdo…
Question Number 129811 by AgnibhoMukhopadhyay last updated on 19/Jan/21 $$\left(\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\frac{\mathrm{2}}{\mathrm{4}}\right)\left(\frac{\mathrm{5}}{\mathrm{6}}\right)\left(\frac{\mathrm{7}}{\mathrm{8}}\right)=\:? \\ $$ Answered by EDWIN88 last updated on 20/Jan/21 $$\:\frac{\mathrm{70}}{\mathrm{4}^{\mathrm{4}} ×\mathrm{3}} \\ $$ Terms of…
Question Number 129809 by mohammad17 last updated on 19/Jan/21 $$\left({x}+{iy}\right)^{\mathrm{3}} =\frac{−\mathrm{6}+\mathrm{2}\sqrt{\mathrm{7}}{i}}{\mathrm{1}−\sqrt{\mathrm{7}}{i}}\:\:{find}\:{x},{y} \\ $$ Answered by Olaf last updated on 20/Jan/21 $$\left({x}+{iy}\:\right)^{\mathrm{3}} \:=\:\frac{−\mathrm{6}+\mathrm{2}\sqrt{\mathrm{7}}{i}}{\mathrm{1}−\sqrt{\mathrm{7}}{i}} \\ $$$$\mathrm{Let}\:{x}+{iy}\:=\:\rho{e}^{{i}\theta} \\…
Question Number 129806 by mnjuly1970 last updated on 19/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:\:{calculus}\:… \\ $$$$\:\:\:{please}\:\:{prove}\:{that}\::: \\ $$$$\:\:\:\:\Phi\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{Arctan}\left({x}\right)}{\mathrm{1}+{x}}\:{dx}=\frac{\pi}{\mathrm{8}}\:{log}\left(\mathrm{2}\right)\:… \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last…
Question Number 129807 by bramlexs22 last updated on 19/Jan/21 $$\:\mathrm{8}.\left(\mathrm{1}+\mathrm{sin}\:\frac{\pi}{\mathrm{8}}\right)\left(\mathrm{1}+\mathrm{sin}\frac{\mathrm{3}\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\mathrm{5}\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\mathrm{7}\pi}{\mathrm{8}}\right)=?\: \\ $$ Answered by EDWIN88 last updated on 19/Jan/21 $$\:\mathrm{sin}\:\mathrm{x}\:=\:\mathrm{sin}\:\left(\pi−\mathrm{x}\right) \\ $$$$\:\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{8}}=\mathrm{sin}\:\frac{\mathrm{5}\pi}{\mathrm{8}}\:\mathrm{and}\:\mathrm{sin}\:\frac{\mathrm{7}\pi}{\mathrm{8}}=\mathrm{sin}\:\frac{\pi}{\mathrm{8}} \\ $$$$\Leftrightarrow\:\mathrm{8}\left(\mathrm{1}+\mathrm{sin}\:\frac{\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\pi}{\:\mathrm{8}}\right)\left(\mathrm{1}+\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{8}}\right)\left(\mathrm{1}−\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{8}}\right)= \\…
Question Number 64270 by aliesam last updated on 16/Jul/19 $$\int\frac{\mathrm{5}{sin}\left({x}\right)\:{cos}\left({x}\right)}{\:\sqrt[{\mathrm{3}}]{{cos}\left({x}\right)+\mathrm{1}}}\:{dx} \\ $$ Answered by Tanmay chaudhury last updated on 16/Jul/19 $${t}^{\mathrm{3}} =\mathrm{1}+{cosx}\:\:\mathrm{3}{t}^{\mathrm{2}} {dt}=−{sinxdx} \\ $$$$\int\frac{\mathrm{5}×\left({t}^{\mathrm{3}}…
Question Number 129804 by bramlexs22 last updated on 19/Jan/21 $$\mathrm{If}\:\overset{\rightarrow} {{p}}=\mathrm{2}\hat {{i}}+\mathrm{5}\hat {{j}}+\mathrm{6}\hat {{k}} \\ $$$$\:\:\:\overset{\rightarrow} {{q}}=\mathrm{3}\hat {{i}}+\mathrm{6}\hat {{j}}+\mathrm{8}\hat {{k}} \\ $$$$\:\:\:\overset{\rightarrow} {{r}}=\mathrm{2}\hat {{i}}+\mathrm{6}\hat {{j}}+\mathrm{10}\hat…