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Author: Tinku Tara

f-f-x-ax-b-1-show-that-f-ax-b-af-x-b-deduce-f-ax-b-2-Show-that-f-x-is-a-constant-hence-deduce-f-

Question Number 194282 by alcohol last updated on 02/Jul/23 $${f}\left({f}\left({x}\right)\right)\:=\:{ax}\:+\:{b} \\ $$$$\mathrm{1}.\:{show}\:{that}\:{f}\left({ax}+{b}\right)\:=\:{af}\left({x}\right)\:+\:{b} \\ $$$${deduce}\:{f}\:'\left({ax}\:+\:{b}\right) \\ $$$$\mathrm{2}.\:{Show}\:{that}\:{f}\:'\left({x}\right)\:{is}\:{a}\:{constant}\: \\ $$$${hence}\:{deduce}\:{f} \\ $$ Answered by Frix last updated…

Question-194304

Question Number 194304 by 281981 last updated on 02/Jul/23 Answered by cortano12 last updated on 03/Jul/23 $$\:\:\:\:\mathrm{sin}\:\left(\mathrm{A}+\mathrm{B}\right)\:\mathrm{cos}\:\left(\mathrm{A}+\mathrm{B}\right)\:\mathrm{sin}\:\left(\mathrm{A}−\mathrm{B}\right)\:\mathrm{cos}\:\left(\mathrm{A}−\mathrm{B}\right)=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\:\:\:\mathrm{sin}\:\left(\mathrm{2A}+\mathrm{2B}\right)\:\mathrm{sin}\:\left(\mathrm{2A}−\mathrm{2B}\right)=\:\mathrm{2} \\ $$$$\:\:\:\underbrace{\boldsymbol{{A}}} \\ $$ Commented by…

Question-194172

Question Number 194172 by sonukgindia last updated on 29/Jun/23 Commented by Frix last updated on 29/Jun/23 $$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{5}}\\{{x}^{\mathrm{4}} +{y}^{\mathrm{4}} =\mathrm{55}}\end{cases} \\ $$$${x}=\pm\sqrt{{a}−\sqrt{{b}}}\wedge{y}=\pm\sqrt{{a}+\sqrt{{b}}} \\ $$$$\begin{cases}{\mathrm{2}{a}=\mathrm{5}}\\{\mathrm{2}{a}^{\mathrm{2}}…

Question-194165

Question Number 194165 by pascal889 last updated on 29/Jun/23 Answered by qaz last updated on 29/Jun/23 $${log}_{\mathrm{2}} \mathrm{4096}+\left[\mathrm{4}\left({log}_{\mathrm{2}} {x}\right)^{\mathrm{3}} −\mathrm{16}{log}_{\mathrm{2}} {x}\right]{log}_{\mathrm{2}} {x}=\mathrm{0} \\ $$$${log}_{\mathrm{2}} {x}={y}\:\:\:\:,\mathrm{12}+\mathrm{4}{y}^{\mathrm{4}}…