Question Number 77087 by Dah Solu Tion last updated on 03/Jan/20 $$\int_{\mathrm{0}} ^{\frac{\boldsymbol{{a}}}{\mathrm{2}}} \boldsymbol{{x}}^{\mathrm{2}} \left(\boldsymbol{{a}}^{\mathrm{2}} −\boldsymbol{{x}}^{\mathrm{2}} \right)^{\frac{−\mathrm{3}}{\mathrm{2}}} \boldsymbol{{dx}} \\ $$$$\boldsymbol{{Help}}!!! \\ $$$$ \\ $$ Commented…
Question Number 142623 by Engr_Jidda last updated on 03/Jun/21 $${find}\:{the}\:{zero}\:{of}\:{z}^{\mathrm{3}} +\mathrm{729}=\mathrm{0} \\ $$$${z}\in\mathbb{C} \\ $$ Answered by Olaf_Thorendsen last updated on 03/Jun/21 $${z}^{\mathrm{3}} \:=\:−\mathrm{729}\:=\:\mathrm{9}^{\mathrm{3}} {e}^{{i}\pi}…
Question Number 11549 by Nayon last updated on 28/Mar/17 $$\:\:\:\: \\ $$$${proof} \\ $$$${lim} \\ $$$${h}\rightarrow\mathrm{0}^{\frac{{x}^{{h}} −\mathrm{1}}{{h}}={ln}\left({x}\right)} \\ $$ Answered by mrW1 last updated on…
Question Number 142622 by Engr_Jidda last updated on 03/Jun/21 $${find}\:{z}\:{for}\:{which}\:{f}\left({z}\right)=\frac{{z}}{{sinz}}\:{is}\:{undefined} \\ $$$${where}\:{z}\in\mathbb{C} \\ $$ Answered by MJS_new last updated on 03/Jun/21 $$\mathrm{undefined}\:\mathrm{when}\:\mathrm{sin}\:{z}\:=\mathrm{0}\:\Rightarrow\:{z}={n}\pi\wedge{n}\in\mathbb{Z} \\ $$ Terms…
Question Number 11548 by Nayon last updated on 28/Mar/17 $$ \\ $$$${find}\:\frac{{d}}{{dx}}\left(\mathrm{2}^{{x}} \right) \\ $$ Answered by sma3l2996 last updated on 28/Mar/17 $$=\frac{{d}\left({e}^{{xln}\left(\mathrm{2}\right)} \right)}{{dx}}={ln}\left(\mathrm{2}\right){e}^{{xln}\left(\mathrm{2}\right)} ={ln}\left(\mathrm{2}\right)\mathrm{2}^{{x}}…
Question Number 142617 by iloveisrael last updated on 03/Jun/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11547 by Nayon last updated on 28/Mar/17 $$\:\:\:\:\:\:\:\:\:\:\frac{{d}}{{dx}}\left({x}^{{x}} \right)=?\left[{please}\:{give}\:{the}\:{answer}\:{with}\:{proof}\right] \\ $$ Answered by sma3l2996 last updated on 28/Mar/17 $${x}^{{x}} ={e}^{{xln}\left({x}\right)} \\ $$$${so}\:\:\frac{{d}\left({x}^{{x}} \right)}{{dx}}=\frac{{d}\left({e}^{{xln}\left({x}\right)}…
Question Number 11546 by Nayon last updated on 28/Mar/17 $$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:{f}\left({x}\right)=^{{x}} \sqrt{{x}}\:{find}\:\frac{{d}}{{dx}}\left({f}\left({x}\right)\right)\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{and}\:{for}\:{what}\:{x}\:,{we}\:{will}\:{get}\:{the}\: \\ $$$$\:{maximum}\:{of}\:{the}\:{function}..? \\ $$$$…
Question Number 11545 by Nayon last updated on 28/Mar/17 $${find}\frac{{dy}}{{dx}}\:{if}\:{x}^{{x}} {y}^{{y}} =\mathrm{1} \\ $$ Answered by Joel576 last updated on 28/Mar/17 $${y}^{{y}} \:=\:{x}^{−{x}} \\ $$$${y}\:\mathrm{ln}\:{y}\:=\:−{x}\:\mathrm{ln}\:{x}…
Question Number 142618 by iloveisrael last updated on 03/Jun/21 $$\:\:\:{In}\:{how}\:{many}\:{ways}\:{can}\:{committee} \\ $$$${of}\:\mathrm{5}\:{be}\:{formed}\:{from}\:{a}\:{group}\: \\ $$$${of}\:\mathrm{11}\:{people}\:{consisting}\:{of}\:\mathrm{4}\:{teachers} \\ $$$${and}\:\mathrm{7}\:{students}\:{if}\:{there}\:{is}\:{no}\: \\ $$$${restriction}\:{in}\:{the}\:{selection}\:? \\ $$$$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ $$ Commented by som(math1967)…