Question Number 155878 by mnjuly1970 last updated on 05/Oct/21 $$ \\ $$$$\:\:{the}\:{equation}\:{of}\:: \\ $$$$\:\:\:\:\left({a}\:+{sin}\left({x}\right)\right)\left({a}+{cos}\left({x}\right)\right)={a} \\ $$$$\:\:\:\:{has}\:\:{solution}\:{in}\:\mathbb{R}\: \\ $$$$\:\:\:\:\:\:\:{hence}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{a}\:\in\:? \\ $$$$\:\:\:\: \\ $$$$ \\…
Question Number 155856 by peter frank last updated on 05/Oct/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{natural}\:\mathrm{number}\:\mathrm{from} \\ $$$$\mathrm{1}\:\mathrm{to}\:\mathrm{900}\:\mathrm{which}\:\mathrm{are}\:\mathrm{not}\:\mathrm{divisible} \\ $$$$\mathrm{2},\mathrm{3}\:\mathrm{and}\:\mathrm{5} \\ $$ Answered by TheSupreme last updated on 05/Oct/21 $$\mathrm{2},\mathrm{3}\:{and}…
Question Number 90318 by I want to learn more last updated on 22/Apr/20 $$\mathrm{Please}\:\mathrm{can}\:\mathrm{this}\:\mathrm{be}\:\mathrm{resolve}\:\mathrm{in}\:\mathrm{partial}\:\mathrm{fraction}? \\ $$$$\:\:\:\:\:\:\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}\:\:−\:\:\frac{\mathrm{2}}{\mathrm{x}^{\mathrm{2}} }}{\left(\mathrm{tan}\:\mathrm{x}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{x}}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy…
Question Number 24764 by NECx last updated on 25/Nov/17 $${Given}\:{that}\:{the}\:{function}\:{f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${is}\:{defined}\:{by}\:{f}\left({x}\right)={x}^{{n}} .{For}\:{what} \\ $$$${values}\:{of}\:{n},{if}\:{any},{is}\:{fof}={f}.{f}? \\ $$$${For}\:{each}\:{of}\:{these}\:{values}\:{of}\:{n}\:{find} \\ $$$${fof}. \\ $$ Answered by mrW1 last…
Question Number 24753 by math solver last updated on 25/Nov/17 Answered by iv@0uja last updated on 27/Nov/17 $$\left[\mathrm{11111}=\mathrm{41}×\mathrm{271}\right] \\ $$$${a}_{\mathrm{124}} =\mathrm{1111}+\mathrm{10}^{\mathrm{4}} ×\mathrm{11111}+\mathrm{10}^{\mathrm{9}} ×\mathrm{11111}+… \\ $$$$\:\:\:\:\:\:\:\:\:\:\:…+\mathrm{10}^{\mathrm{114}}…
Question Number 24747 by NECx last updated on 25/Nov/17 $${if}\:{f}\left({x}\right)=\mathrm{2}\mid{x}−\mathrm{3}\mid\:{and}\:{g}\left({x}\right)={x}^{\mathrm{2}} .{Find}: \\ $$$$\left({i}\right){gof}\:\left({ii}\right){fog}\:\left({iii}\right){domain}\:{of}\:{fog} \\ $$$$\left({iv}\right){range}\:{of}\:{gof} \\ $$$$ \\ $$ Answered by ajfour last updated on…
Question Number 24744 by NECx last updated on 25/Nov/17 $${If}\:{a}\:{function}\:{f}\:{is}\:{defined}\:{such}\:{that} \\ $$$${f}:\mathbb{R}\rightarrow\mathbb{R}.{If}\: \\ $$$$\:\:\:\:{f}\left({x}\right)=\frac{\mathrm{3}{x}−\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{6}}.{Find}\:{the}\: \\ $$$$\left({i}\right){domain}\:{of}\:{f}\left({x}\right) \\ $$$$\left({ii}\right){range}\:{of}\:{f}\left({x}\right) \\ $$ Answered by ajfour last…
Question Number 155801 by cortano last updated on 05/Oct/21 $$\:\begin{cases}{\mathrm{m}^{\mathrm{2}} =\mathrm{n}+\mathrm{2}}\\{\mathrm{n}^{\mathrm{2}} =\mathrm{m}+\mathrm{2}}\end{cases}\:\Rightarrow\mathrm{m}\neq\mathrm{n} \\ $$$$\:\mathrm{4mn}−\mathrm{m}^{\mathrm{3}} −\mathrm{n}^{\mathrm{3}} =?\: \\ $$ Answered by Rasheed.Sindhi last updated on 05/Oct/21…
Question Number 155802 by cortano last updated on 05/Oct/21 $$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\mathrm{2}×\mathrm{1}!+\mathrm{4}×\mathrm{2}!+\mathrm{6}×\mathrm{3}!+…+\mathrm{200}×\mathrm{100}! \\ $$ Answered by talminator2856791 last updated on 05/Oct/21 $$\:\mathrm{use}\:\mathrm{the}\:\mathrm{information}\:\mathrm{in}\:\mathrm{the}\:\mathrm{post}\: \\ $$$$\:\mathrm{above}\:\mathrm{this}\:\mathrm{post}\:\mathrm{Q}.\mathrm{155803}: \\…
Question Number 155803 by cortano last updated on 05/Oct/21 $$\mathrm{proof}\:\mathrm{that}\: \\ $$$$\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\mathrm{n}×\mathrm{n}!\:=\:\mathrm{11}!−\mathrm{1} \\ $$ Answered by som(math1967) last updated on 05/Oct/21 $$\mathrm{1}×\mathrm{1}!+\mathrm{2}×\mathrm{2}!+\mathrm{3}×\mathrm{3}!+…+\mathrm{10}×\mathrm{10}!\:+\mathrm{1}−\mathrm{1} \\…