Question Number 143542 by tugu last updated on 15/Jun/21 $${calculate}\:{the}\:{polar}\:{integral}\:{that} \\ $$$$\:{give}\:{the}\:{area}\:{of}\:{the}\:{region}\:{bunded}\:{by}\:{the}\:{curves}\: \\ $$$$ \\ $$$${r}=\mathrm{2}\:,{r}=\mathrm{4}{cos}\theta\:{and}\:,{r}\:{cos}\theta=\mathrm{3}\: \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 143537 by 0731619 last updated on 15/Jun/21 Answered by mr W last updated on 15/Jun/21 $$\frac{{AB}+{BE}}{{BE}}=\frac{{AD}}{{BC}}=\frac{{a}}{{b}} \\ $$$$\frac{{AB}}{{BE}}=\frac{{a}−{b}}{{b}} \\ $$$$\frac{{GE}}{{AD}}=\frac{{BE}}{{AB}}=\frac{{b}}{{a}−{b}} \\ $$$$\Rightarrow{GE}=\frac{{ab}}{{a}−{b}} \\…
Question Number 12464 by tawa last updated on 23/Apr/17 $$\int\:\mathrm{sin}^{\mathrm{3}} \left(\mathrm{7x}\right)\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 23/Apr/17 $$\mathrm{sin}\:\mathrm{3}{x}=\mathrm{3sin}\:{x}−\mathrm{4sin}\:^{\mathrm{3}} {x} \\ $$$${I}=\int\mathrm{sin}\:^{\mathrm{3}} \left(\mathrm{7}{x}\right){dx}…
Question Number 12463 by tawa last updated on 23/Apr/17 $$\int\:\:\frac{\mathrm{x}\:+\:\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2x}\:+\:\mathrm{3}\right)^{\mathrm{2}/\mathrm{3}} }\:\:\mathrm{dx} \\ $$ Answered by ridwan balatif last updated on 23/Apr/17 $$\int\frac{\mathrm{x}+\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{3}\right)^{\mathrm{2}} }}\mathrm{dx}…
Question Number 143532 by bramlexs22 last updated on 15/Jun/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:\mathrm{cos}\:{x}}{\mathrm{tan}\:^{\mathrm{4}} {x}}\:=? \\ $$ Answered by mathmax by abdo last updated on 15/Jun/21 $$\mathrm{cosx}\sim\mathrm{1}−\frac{\mathrm{x}^{\mathrm{2}}…
Question Number 143535 by 0731619 last updated on 15/Jun/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77995 by mathmax by abdo last updated on 12/Jan/20 $${calculate}\:\int_{−\infty} ^{+\infty} \:\frac{{arctan}\left(\mathrm{2}{x}+\mathrm{1}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by msup trace by abdo last…
Question Number 143531 by bramlexs22 last updated on 15/Jun/21 $$\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\:\frac{\mathrm{2}\sqrt{{x}}+\mathrm{3}\:\sqrt[{\mathrm{3}}]{{x}}\:+\mathrm{5}\:\sqrt[{\mathrm{5}}]{{x}}}{\:\sqrt{\mathrm{3}{x}−\mathrm{2}}\:+\sqrt[{\mathrm{3}}]{\mathrm{2}{x}−\mathrm{3}}}\:=? \\ $$ Answered by bobhans last updated on 15/Jun/21 Terms of Service Privacy Policy…
Question Number 77990 by peter frank last updated on 12/Jan/20 $${Find}\:{the}\:{equation}\:{to}\:{the} \\ $$$${two}\:{circles}\:{each}\:{of} \\ $$$${which}\:{touch}\:{the}\:{three}\:{circle} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{4}{a}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{2}{ax}=\mathrm{0} \\ $$$${x}^{\mathrm{2}}…
Question Number 77991 by peter frank last updated on 12/Jan/20 $${If}\:\:{P}_{\mathrm{1}} \:\:{P}_{\mathrm{2}} \:\:{P}_{\mathrm{3}} \:\:{will}\:{be}\:{taken} \\ $$$${as}\:{point}\:{in}\:{an}\:{Argand} \\ $$$${diagram}\:{representing} \\ $$$${complex}\:{number} \\ $$$${Z}_{\mathrm{1}} ,{Z}_{\mathrm{2}} ,{Z}_{\mathrm{3}} \:\:{and}\:{point}…