Question Number 190936 by Spillover last updated on 14/Apr/23 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\mathrm{e}^{\mathrm{sinh}\:^{−\mathrm{1}} \mathrm{x}} =\mathrm{1}+\mathrm{e}^{\mathrm{cosh}\:^{−\mathrm{1}} \mathrm{x}} \\ $$ Answered by mr W last updated on 14/Apr/23…
Question Number 190938 by Shrinava last updated on 14/Apr/23 Answered by Frix last updated on 15/Apr/23 $$\mathrm{tan}\:\mathrm{3}{x}\:−\mathrm{tan}\:{x}\:\mathrm{tan}\:\mathrm{11}{x}\:\mathrm{tan}\:\mathrm{13}{x}\:=\mathrm{0} \\ $$$$\mathrm{We}\:\mathrm{can}\:\mathrm{transform}\:\mathrm{this}\:\mathrm{to} \\ $$$$\mathrm{sin}\:\mathrm{28}{x}\:−\mathrm{sin}\:\mathrm{20}{x}\:+\mathrm{sin}\:\mathrm{4}{x}\:=\mathrm{0} \\ $$$${y}=\mathrm{4}{x} \\ $$$$\mathrm{sin}\:\mathrm{7}{y}\:−\mathrm{sin}\:\mathrm{5}{y}\:+\mathrm{sin}\:{y}\:=\mathrm{0}…
Question Number 190935 by Spillover last updated on 14/Apr/23 $$\mathrm{G}{iven}\:{that}\:\:\:\:\:\:\:\:\mathrm{sinh}\:^{−\mathrm{1}} {y}=\mathrm{sech}\:^{−\mathrm{1}} {y}\:\:\:\: \\ $$$${show}\:{that}\:\:\:\:\:\:\:\:\:{y}^{\mathrm{2}} =\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{2}}\:\:\: \\ $$$$ \\ $$ Answered by mehdee42 last updated on…
Question Number 190916 by Abdullahrussell last updated on 14/Apr/23 Commented by Rasheed.Sindhi last updated on 14/Apr/23 $$\mathrm{6}{A}+\mathrm{12}{B}+\mathrm{24}{C}=\mathrm{100} \\ $$$$\mathrm{6}\:\mid\:\left(\mathrm{6}{A}+\mathrm{12}{B}+\mathrm{24}{C}\right)\:\wedge\:\mathrm{6}\:\nmid\:\mathrm{100} \\ $$$$\Rightarrow\nexists\:{integer}\:{solution}! \\ $$ Terms of…
Question Number 190907 by mustafazaheen last updated on 14/Apr/23 $$\mathrm{how}\:\mathrm{is}\:\mathrm{explanotory}\:\mathrm{solution} \\ $$$$\mathrm{4}^{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{2}} +\mathrm{4}^{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{7}} =\mathrm{4}^{\mathrm{2x}^{\mathrm{2}} +\mathrm{6x}+\mathrm{9}} +\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$ Answered by Frix…
Question Number 59833 by bhanukumarb2@gmail.com last updated on 15/May/19 Answered by tanmay last updated on 15/May/19 $${e}^{{i}\theta} ={cos}\theta+{isin}\theta \\ $$$${e}^{−{i}\theta} ={cos}\theta−{isin}\theta \\ $$$${cos}\theta=\frac{{e}^{{i}\theta} +{e}^{−{i}\theta} }{\mathrm{2}}\rightarrow{cosi}=\frac{{e}^{−\mathrm{1}}…
Question Number 190893 by mnjuly1970 last updated on 13/Apr/23 $$ \\ $$$$\:\:\:\:\:\:\:\:{if}\:,\:\:\frac{{sin}\left({x}\right)−{cos}\left({x}\right)}{{sin}\left({x}\right)+{cos}\left({x}\right)}\:=\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\:\:\:\:\:\Rightarrow\:{find}\:\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{F}\:=\:{sin}^{\:\mathrm{6}} \left({x}\right)\:+\:{cos}^{\:\mathrm{6}} \left({x}\right)=\:? \\ $$$$ \\ $$ Answered…
Question Number 190894 by mnjuly1970 last updated on 13/Apr/23 $$ \\ $$$$\:\:\:\:\:{f}\left({x}\right)=\:{mx}\:+\:{cos}\left({x}\right)\:\:,\:\:{m}>\mathrm{1} \\ $$$$\:\:\:\:,\:\:\:{f}^{\:−\mathrm{1}} \left(\mathrm{3}\right)=\:\mathrm{2}{f}^{\:−\mathrm{1}} \left(\mathrm{2}\:\right) \\ $$$$\:\:\:\:\:{find}\::\:\:\:\:\:\:{f}\:\left(\:\frac{\mathrm{1}}{{m}}\:\right)=\:? \\ $$ Answered by mehdee42 last updated…
Question Number 190883 by mnjuly1970 last updated on 13/Apr/23 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{Elementary}\:\:\:\mathrm{algebra} \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\mathrm{If}\:\:,\:\:{x}\:=\:\frac{\mathrm{1}\:+\sqrt{\mathrm{17}}}{\mathrm{2}}\:\:\Rightarrow\:\:\mathrm{Find}\:\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\::\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\mathrm{E}\:=\:\frac{\:{x}^{\mathrm{8}} −\:{x}^{\:\mathrm{7}} \:+\:{x}^{\:\mathrm{6}} −….−\:{x}\:+\mathrm{1}\:}{{x}^{\:\mathrm{6}} \:−\:{x}^{\:\mathrm{3}} \:+\:\mathrm{1}}\:=\:?…
Question Number 190882 by mathlove last updated on 13/Apr/23 Commented by Tinku Tara last updated on 14/Apr/23 $$\mathrm{Where}\:\mathrm{do}\:\mathrm{you}\:\mathrm{find}\:\mathrm{these}\:\mathrm{questions}? \\ $$ Commented by mathlove last updated…