Question Number 137770 by peter frank last updated on 06/Apr/21 Answered by Ñï= last updated on 06/Apr/21 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}=\int_{\mathrm{0}} ^{\mathrm{1}} {da}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}}{\left(\mathrm{1}+{ax}\right)\left(\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 137764 by byaw last updated on 06/Apr/21 $$\mathrm{If}\:\mathrm{log}_{\mathrm{2}} \mathrm{3}={a}\:\mathrm{and}\:\mathrm{log}_{\mathrm{3}} \mathrm{7}={b},\:\mathrm{express} \\ $$$$\mathrm{log}_{\mathrm{42}} \mathrm{56}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{a}\:\mathrm{and}\:{b} \\ $$ Answered by EnterUsername last updated on 06/Apr/21 $${log}_{\mathrm{2}}…
Question Number 6692 by Tawakalitu. last updated on 14/Jul/16 $${limit}\:\:\:\:\:\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{{x}\:−\:\mathrm{1}} \\ $$$${x}\:\rightarrow\:\infty \\ $$ Answered by FilupSmith last updated on 14/Jul/16 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{1}+\frac{\mathrm{1}}{{x}−\mathrm{1}}=\mathrm{1}+\frac{\mathrm{1}}{\infty−\mathrm{1}} \\ $$$$=\mathrm{1}+\frac{\mathrm{1}}{\infty}…
Question Number 6689 by Tawakalitu. last updated on 13/Jul/16 $${limit}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:−\:{x}} \\ $$$${x}\:\dashrightarrow\:\infty \\ $$ Answered by FilupSmith last updated on 14/Jul/16 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}−{x}}\:=\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}−\infty} \\ $$$$=\mathrm{1}−\frac{\mathrm{1}}{\infty}…
Question Number 6687 by Tawakalitu. last updated on 13/Jul/16 $${Given}\:{that} \\ $$$$ \\ $$$$\mathrm{4362}\:=\:\mathrm{12} \\ $$$$\mathrm{9495}\:=\:\mathrm{21} \\ $$$$\mathrm{3816}\:=\mathrm{18} \\ $$$${Then}\:=…….. \\ $$$$\mathrm{9649}\:=\:? \\ $$ Answered…
Question Number 6686 by FilupSmith last updated on 13/Jul/16 $$\mathrm{Show}\:\mathrm{that}: \\ $$$$\int_{\mathrm{0}} ^{\:\infty} {e}^{−{ix}^{\mathrm{2}} } {dx}=\left(\frac{\mathrm{1}}{\mathrm{2}}−\frac{{i}}{\mathrm{2}}\right)\sqrt{\frac{\pi}{\mathrm{2}}} \\ $$ Commented by FilupSmith last updated on 14/Jul/16…
Question Number 72218 by aliesam last updated on 26/Oct/19 Commented by turbo msup by abdo last updated on 26/Oct/19 $${let}\:{A}\left({x}\right)=\left(\frac{{sinx}}{{x}}\right)^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} \:\Rightarrow \\ $$$${A}\left({x}\right)={e}^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }{ln}\left(\frac{{sinx}}{{x}}\right)}…
Question Number 6681 by Tawakalitu. last updated on 11/Jul/16 Answered by Rasheed Soomro last updated on 12/Jul/16 $${Join}\:\mathrm{O}\:{and}\:\mathrm{Y}. \\ $$$$\because\:\:\mathrm{OX}=\mathrm{OY}=\mathrm{OZ}\:\:\left[{Radii}\:{of}\:{same}\:{circle}\right] \\ $$$$\therefore\:\bigtriangleup\mathrm{XOY}\:\:{and}\:\:\bigtriangleup\mathrm{ZOY}\:{are}\:{issoscel}\:{triangles}. \\ $$$$\therefore\:\:\angle\mathrm{XYO}=\angle\mathrm{OXY}=\mathrm{30}\:\:\:{and}\:\:\:\:\angle\mathrm{ZYO}=\angle\mathrm{OZY}=\mathrm{20} \\…
Question Number 137751 by Lekhraj last updated on 06/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137750 by Lekhraj last updated on 06/Apr/21 Commented by som(math1967) last updated on 06/Apr/21 $$\left(\mathrm{35},\mathrm{20},\mathrm{8},\mathrm{5},\mathrm{1}\right) \\ $$$$\left(\mathrm{24},\mathrm{18},\mathrm{15},\mathrm{10},\mathrm{2}\right) \\ $$ Commented by Rasheed.Sindhi last…