Question Number 77335 by aliesam last updated on 05/Jan/20 Commented by aliesam last updated on 05/Jan/20 Commented by msup trace by abdo last updated on…
Question Number 142871 by mathmax by abdo last updated on 06/Jun/21 $$\mathrm{determine}\:\mathrm{arctan}\left(\mathrm{x}+\mathrm{iy}\right)\:\mathrm{at}\:\mathrm{form}\:\mathrm{u}\left(\mathrm{x},\mathrm{y}\right)+\mathrm{iv}\left(\mathrm{x},\mathrm{y}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142870 by mnjuly1970 last updated on 06/Jun/21 Answered by qaz last updated on 06/Jun/21 $$\Theta=\mathrm{2}\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{u}\right)\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{1}}{\mathrm{u}}}{\mathrm{u}}\mathrm{du} \\ $$$$=\mathrm{2}\left\{\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{u}\right)\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{1}}{\mathrm{u}}}{\mathrm{u}}\mathrm{du}+\int_{\mathrm{0}}…
Question Number 142865 by EnterUsername last updated on 06/Jun/21 $$\mathrm{Let}\:{a}_{\mathrm{1}} ,\:{a}_{\mathrm{2}} ,\:{a}_{\mathrm{3}} ,\:…\:\mathrm{be}\:\mathrm{an}\:\mathrm{arithmethic}\:\mathrm{progression}\:\mathrm{of} \\ $$$$\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers}.\:\mathrm{Then} \\ $$$$\:\:\:\:\:\:\:\frac{\mathrm{1}}{\:\sqrt{{a}_{\mathrm{1}} }+\sqrt{{a}_{\mathrm{2}} }}+\frac{\mathrm{1}}{\:\sqrt{{a}_{\mathrm{2}} }+\sqrt{{a}_{\mathrm{3}} }}+\centerdot\centerdot\centerdot+\frac{\mathrm{1}}{\:\sqrt{{a}_{{n}−\mathrm{1}} }+\sqrt{{a}_{{n}} }}= \\ $$$$\left(\mathrm{A}\right)\:\frac{{n}+\mathrm{1}}{\:\sqrt{{a}_{\mathrm{1}}…
Question Number 77330 by TawaTawa last updated on 05/Jan/20 Commented by $@ty@m123 last updated on 05/Jan/20 Commented by $@ty@m123 last updated on 05/Jan/20 $${In}\:\bigtriangleup{PDC}\:\&\bigtriangleup{QAP} \\…
Question Number 11791 by tawa last updated on 31/Mar/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{sound}\:\mathrm{at}\:\mathrm{100}°\mathrm{C}\:\:\mathrm{if}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{sound}\:\mathrm{at}\:\mathrm{0}°\mathrm{C}\:\mathrm{is}\:\mathrm{340}\:\mathrm{m}/\mathrm{s} \\ $$ Answered by mrW1 last updated on 31/Mar/17 $${v}_{{t}} ={v}_{\mathrm{0}} \sqrt{\mathrm{1}+\frac{{t}}{\mathrm{273}}} \\ $$$$=\mathrm{340}\sqrt{\mathrm{1}+\frac{\mathrm{100}}{\mathrm{273}}} \\…
Question Number 142863 by mathsuji last updated on 06/Jun/21 Answered by mnjuly1970 last updated on 06/Jun/21 $$\:\:\:\:\:\frac{\mathrm{2}\left({R}+{r}\right)}{{F}\rightarrow!!!??} \\ $$ Commented by mathsuji last updated on…
Question Number 77323 by Boyka last updated on 05/Jan/20 Commented by Tony Lin last updated on 05/Jan/20 $$\int\frac{\mathrm{1}}{\:\sqrt{{cos}\left({x}−\frac{\pi}{\mathrm{2}}\right)}}{dx} \\ $$$$=\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \left(\frac{\mathrm{2}{x}−\pi}{\mathrm{4}}\right)}}{dx} \\ $$$${let}\:{u}=\frac{\mathrm{2}{x}−\pi}{\mathrm{4}},\:\frac{{du}}{{dx}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\mathrm{2}\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}}…
Question Number 142858 by mohssinee last updated on 06/Jun/21 Commented by mohssinee last updated on 06/Jun/21 $${help}\:{please}\:?? \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 11781 by tawa last updated on 31/Mar/17 $$\mathrm{sin}\left(\mathrm{2}\theta\right)\:+\:\mathrm{7cos}\left(\mathrm{2}\theta\right)\:=\:\mathrm{6} \\ $$$$\mathrm{find}\:\theta \\ $$ Answered by sma3l2996 last updated on 31/Mar/17 $$\mathrm{2}{sin}\left(\theta\right){cos}\left(\theta\right)+\mathrm{7}{cos}^{\mathrm{2}} \left(\theta\right)−\mathrm{7}{sin}^{\mathrm{2}} \left(\theta\right)=\mathrm{6} \\…