Question Number 8934 by j.masanja06@gmail.com last updated on 06/Nov/16 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{x}. \\ $$$$\mathrm{3}^{\mathrm{x}+\mathrm{1}} =\mathrm{2}^{\mathrm{x}+\mathrm{2}} \\ $$ Answered by Rasheed Soomro last updated on 08/Nov/16 $$\mathrm{3}^{\mathrm{x}+\mathrm{1}} =\mathrm{2}^{\mathrm{x}+\mathrm{2}}…
Question Number 140007 by SOMEDAVONG last updated on 03/May/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{1}+\frac{\mathrm{3}}{\mathrm{x}}\right)^{\mathrm{x}} =? \\ $$ Answered by Ankushkumarparcha last updated on 03/May/21 $${Solution}:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{1}+\frac{\mathrm{3}}{{x}}\right)^{{x}} =\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{e}^{\mathrm{log}_{{e}}…
Question Number 8933 by Hariom maurya last updated on 06/Nov/16 $$\mathrm{3x}+\mathrm{3y}+\mathrm{2z}=\mathrm{1},\mathrm{x}+\mathrm{2y}=\mathrm{4},\mathrm{10y}+\mathrm{3z}=−\mathrm{2}, \\ $$$$\mathrm{2x}−\mathrm{3y}−\mathrm{z}=\mathrm{5} \\ $$ Answered by Rasheed Soomro last updated on 06/Nov/16 $$\mathrm{3x}+\mathrm{3y}+\mathrm{2z}=\mathrm{1}………….\left(\mathrm{i}\right) \\…
Question Number 140000 by bramlexs22 last updated on 03/May/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{1}+\mathrm{x}.\mathrm{2}^{\mathrm{x}} }{\mathrm{1}+\mathrm{x}.\mathrm{3}^{\mathrm{x}} }\right)^{\frac{\mathrm{2}}{\mathrm{x}^{\mathrm{2}} }} =? \\ $$ Commented by MJS_new last updated on 03/May/21 $$\mathrm{the}\:\mathrm{answer}\:\mathrm{should}\:\mathrm{be}\:\frac{\mathrm{4}}{\mathrm{9}}\:\mathrm{I}\:\mathrm{think}…
Question Number 8929 by kuldeep singh raj last updated on 06/Nov/16 Commented by Rasheed Soomro last updated on 06/Nov/16 $$\mathrm{This}\:\mathrm{depends}\:\mathrm{upon}\:\mathrm{the}\:\mathrm{position}\:\mathrm{of}\:\mathrm{C}. \\ $$$$\mathrm{For}\:\mathrm{example}\:\mathrm{how}\:\mathrm{far}\:\mathrm{is}\:\mathrm{C}\:\mathrm{from}\:\mathrm{A}. \\ $$$$\mathrm{So}\:\mathrm{additional}\:\:\mathrm{information}\:\mathrm{is}\:\mathrm{required} \\…
Question Number 140002 by mohammad17 last updated on 03/May/21 Answered by MJS_new last updated on 03/May/21 $$\int\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\mathrm{ln}\:\frac{\mathrm{1}+\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{{x}}\:{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\frac{\mathrm{1}+\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{{x}}\:\rightarrow\:{dx}=−\frac{{x}^{\mathrm{2}} \sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{\mathrm{1}+\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dt}\right]…
Question Number 139998 by bramlexs22 last updated on 03/May/21 Commented by bramlexs22 last updated on 03/May/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\Delta\mathrm{ABC} \\ $$ Answered by som(math1967) last updated on…
Question Number 8924 by tawakalitu last updated on 05/Nov/16 Commented by tawakalitu last updated on 05/Nov/16 $$\mathrm{From}\:\mathrm{the}\:\mathrm{diagram}\:\mathrm{above}\:,\:\mathrm{find}\:\mathrm{the}\:\mathrm{fraction} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{shaded}\:\mathrm{portion} \\ $$ Commented by Rasheed Soomro…
Question Number 139992 by ajfour last updated on 02/May/21 Commented by ajfour last updated on 03/May/21 $${Let}\:\:{role}\:{of}\:{new}\:{cross}\: \\ $$$${multiplication}\:{by}\:\hat {{k}} \\ $$$$\:{be}\:{to}\:{rotate}\:{the}\:{component} \\ $$$${of}\:{a}\:{vector}\:\bot\:{to}\:{z}\:{axis}\:{by}\:\mathrm{90}° \\…
Question Number 74456 by liki last updated on 24/Nov/19 Commented by liki last updated on 24/Nov/19 $$…{plz}\:{anyone}\:{knowing}\:{simple}\:{logic}\:{of} \\ $$$${find}\:{the}\:{possible}\:{number},{because}\: \\ $$$$\:{this}\:{always}\:{i}\:{did}\:{not}\:{understand}\:{so}\:{pl}\: \\ $$$$\:{i}\:{need}\:{simple}\:{way}\:{of}\:{find}\:{the}\:{others}\:{no}. \\ $$…