Question Number 108930 by mohammad17 last updated on 20/Aug/20 Answered by ajfour last updated on 20/Aug/20 $${z}=\frac{\left(\mathrm{1}+{i}\right)^{\mathrm{15}} }{\mathrm{128}}×\frac{\left(\sqrt{\mathrm{2}}\right)^{\mathrm{15}} }{\left(\sqrt{\mathrm{2}}\right)^{\mathrm{15}} }\:=\sqrt{\mathrm{2}}\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}+\frac{{i}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{15}} \\ $$$$\:\:\:=\:\sqrt{\mathrm{2}}{e}^{\mathrm{15}{i}\pi/\mathrm{4}} \:=\:\sqrt{\mathrm{2}}{e}^{−{i}\pi/\mathrm{4}} \\ $$$$\bar…
Question Number 108931 by mohammad17 last updated on 20/Aug/20 Commented by mohammad17 last updated on 20/Aug/20 $${sir}\:{can}\:{you}\:{help}\:{me}\:{pleas} \\ $$ Answered by Aziztisffola last updated on…
Question Number 108924 by mathdave last updated on 20/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 108927 by mohammad17 last updated on 20/Aug/20 Commented by mohammad17 last updated on 20/Aug/20 $${help}\:{me}\:{sir} \\ $$ Answered by 1549442205PVT last updated on…
Question Number 108920 by mathdave last updated on 20/Aug/20 Answered by 1549442205PVT last updated on 20/Aug/20 $$\mathrm{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{12}}} \mathrm{ln}\left(\mathrm{tanx}\right)\mathrm{dx}.\mathrm{Put}\:\mathrm{tanx}\:=\mathrm{t} \\ $$$$\Rightarrow\mathrm{dt}=\left(\mathrm{1}+\mathrm{t}^{\mathrm{2}} \right)\mathrm{dx}\Rightarrow\mathrm{I}=\int_{\mathrm{0}} ^{\:\mathrm{2}−\sqrt{\mathrm{3}}} \frac{\mathrm{ln}\left(\mathrm{t}\right)}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }\mathrm{dt}…
Question Number 174443 by daus last updated on 01/Aug/22 Commented by Rasheed.Sindhi last updated on 01/Aug/22 $${Not}\:{clear}.{Pl}\:{type}. \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 108901 by ZiYangLee last updated on 20/Aug/20 $${f}\left({x}\right)={x}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)^{\mathrm{3}} \\ $$$$\mathrm{Find}\:{f}''\left(\mathrm{1}\right).\: \\ $$ Answered by malwaan last updated on 20/Aug/20 $${f}\:'\left({x}\right)={x}^{\mathrm{2}} ×\mathrm{3}\left(\mathrm{1}+{x}\right)^{\mathrm{2}} +\left(\mathrm{1}+{x}\right)^{\mathrm{3}}…
Question Number 108899 by mathdave last updated on 20/Aug/20 Commented by mathdave last updated on 20/Aug/20 $${i}\:{posted}\:{the}\:{solution}\:{of}\:{this}\:\:{problem}\:{then}\:{but}\:{i}\:{later} \\ $$$${discovered}\:{some}\:{err}\:{in}\:{it}\:{but}\:{sha}\:{that}\:{has}\:{been} \\ $$$${averted} \\ $$ Terms of…
Question Number 108897 by mathdave last updated on 20/Aug/20 Commented by mathdave last updated on 20/Aug/20 $${my}\:{earlier}\:{problem}\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 174430 by CElcedricjunior last updated on 31/Jul/22 Answered by som(math1967) last updated on 01/Aug/22 $$\:{I}=\int_{\mathrm{0}} ^{\pi} \frac{{xsinx}}{\mathrm{2}\left(\mathrm{1}+{cos}^{\mathrm{2}} {x}\right)}{dx} \\ $$$$\:=\int_{\mathrm{0}} ^{\pi} \frac{\left(\pi−{x}\right){sin}\left(\pi−{x}\right)}{\mathrm{2}\left\{\mathrm{1}+{cos}^{\mathrm{2}} \left(\pi−{x}\right)\right\}}{dx}…