Question Number 160626 by mkam last updated on 03/Dec/21 $$\int\:\frac{{lnz}}{{z}+{lnz}}\:{dz}\: \\ $$$$ \\ $$$${help}\:{me}\:{sir} \\ $$ Commented by mkam last updated on 03/Dec/21 $$???? \\…
Question Number 29541 by naka3546 last updated on 09/Feb/18 Commented by naka3546 last updated on 09/Feb/18 $${Prove}\:\:{that}\:\:{DF}\:\:{is}\:\:{perpendicular}\:\:{to}\:\:{IC}\:. \\ $$ Commented by ajfour last updated on…
Question Number 160615 by Gbenga last updated on 03/Dec/21 Commented by Gbenga last updated on 03/Dec/21 $${number}\:\mathrm{2} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 160605 by ZiYangLee last updated on 03/Dec/21 $$\mathrm{Given}\:\mathrm{that}\:{y}=\left(\mathrm{3}\:\mathrm{sin}\:{x}−\mathrm{4}\:\mathrm{cos}\:{x}+\mathrm{6}\right)^{\mathrm{2}} ,\:\mathrm{0}\leqslant{x}\leqslant\mathrm{2}\pi. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{value}\:\mathrm{of}\:{y}. \\ $$ Commented by cortano last updated on 03/Dec/21 $$\mathrm{y}=\left[\mathrm{5}\left(\frac{\mathrm{3}}{\mathrm{5}}\mathrm{sin}\:\mathrm{x}−\frac{\mathrm{4}}{\mathrm{5}}\mathrm{cos}\:\mathrm{x}\right)+\mathrm{6}\right]^{\mathrm{2}} \\ $$$$\mathrm{y}=\left[\mathrm{5sin}\:\left(\alpha−\mathrm{x}\right)+\mathrm{6}\right]^{\mathrm{2}}…
Question Number 160606 by ZiYangLee last updated on 03/Dec/21 $$\mathrm{Evaluate}\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:\mathrm{when}\:{x}=\mathrm{ln}\:\mathrm{2}\:\mathrm{and}\:{y}=\mathrm{2}. \\ $$ Commented by MJS_new last updated on 03/Dec/21 $${y}={f}\left({x}\right) \\ $$$$\frac{{dy}}{{dx}}={f}\:'\left({x}\right) \\…
Question Number 160596 by Ahmed1hamouda last updated on 03/Dec/21 Answered by Mathspace last updated on 03/Dec/21 $${I}=\int_{{c}} \:\:\frac{{e}^{\mathrm{3}{z}} {sin}\left(\mathrm{2}{z}\right)}{\left(\mathrm{4}{z}−{j}\pi\right)^{\mathrm{3}} }{dz}\:\:{with}\:{c}\rightarrow\mid{z}−{j}\mid=\mathrm{1} \\ $$$${let}\:\varphi\left({z}\right)=\frac{{e}^{\mathrm{3}{z}} {sin}\left(\mathrm{2}{z}\right)}{\left(\mathrm{4}{z}−{j}\pi\right)^{\mathrm{3}} }=\frac{{e}^{\mathrm{3}{z}} {sin}\left(\mathrm{2}{z}\right)}{\mathrm{64}\left({z}−\frac{{j}\pi}{\mathrm{4}}\right)^{\mathrm{3}}…
Question Number 95059 by mr W last updated on 22/May/20 $${To}\:{Tinku}\:{Tara} \\ $$$${dear}\:{sir}:\:{i}\:{experienced}\:{following}\:{issues}: \\ $$$$\mathrm{1}.\:{sometimes}\:{i}\:{got}\:{notification},\:{but} \\ $$$${i}\:{didn}'{t}\:{see}\:{any}\:{update}\:{in}\:{the} \\ $$$${corresponding}\:{threads}.\:{what}\:{can}\:{be} \\ $$$${the}\:{reason}? \\ $$$$\mathrm{2}.\:{when}\:{i}\:{activate}\:{the}\:{filter}\:{to}\:{show} \\ $$$${bookmarked}\:{posts},\:{only}\:{some}\:{of}\:{the}…
Question Number 95053 by Shakhzod last updated on 22/May/20 Commented by Shakhzod last updated on 22/May/20 $${Please}\:{help}\:{me}\:{friends}.\:{I}\:{need}\:{your}\:{help}\:{now}. \\ $$ Commented by Shakhzod last updated on…
Question Number 160580 by LEKOUMA last updated on 02/Dec/21 $${Calculate}\: \\ $$$$\mathrm{1}.\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\frac{{x}\sqrt{\mathrm{ln}\:\left({x}^{\mathrm{2}} +\mathrm{1}\right)}}{\mathrm{1}+{e}^{{x}−\mathrm{3}} } \\ $$$$\mathrm{2}.\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left(\frac{{x}^{\mathrm{3}} +\mathrm{5}}{{x}^{\mathrm{2}} +\mathrm{2}}\right)^{\frac{{x}+\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}} \\ $$ Terms of…
Question Number 160569 by LEKOUMA last updated on 02/Dec/21 $${Calculate}\: \\ $$$$\mathrm{1}.\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left[\mathrm{2}{e}^{\frac{{x}}{{x}+\mathrm{1}}} −\mathrm{1}\right]^{\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}}} \\ $$$$\mathrm{2}.\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}+{x}×\mathrm{2}^{{x}} }{\mathrm{1}+{x}×\mathrm{3}^{{x}} }\right)^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} \\ $$$$ \\ $$…