Question Number 95324 by I want to learn more last updated on 24/May/20 $$\mathrm{If}\:\:\:\mathrm{sin}\:\mathrm{A}\:\:+\:\:\left(\mathrm{sin}\:\mathrm{A}\right)^{\mathrm{2}} \:\:\:=\:\:\:\mathrm{1} \\ $$$$\mathrm{Then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\:\:\:\:\:\:\:\:\left(\mathrm{cos}\:\mathrm{A}\right)^{\mathrm{12}} \:\:+\:\:\mathrm{3}\left(\mathrm{cos}\:\mathrm{A}\right)^{\mathrm{10}} \:\:+\:\:\mathrm{3}\left(\mathrm{cos}\:\mathrm{A}\right)^{\mathrm{8}} \:\:+\:\:\left(\mathrm{cos}\:\mathrm{A}\right)^{\mathrm{6}} \:\:−\:\:\mathrm{1}\:\:\:\:\:\mathrm{is}\:? \\ $$$$…
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Question Number 160853 by HongKing last updated on 07/Dec/21 Commented by HongKing last updated on 08/Dec/21 $$\mathrm{Answer}:\:\:\sqrt{\mathrm{106}} \\ $$ Answered by kowalsky78 last updated on…
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Question Number 29777 by Joel578 last updated on 12/Feb/18 $${f}\left({x}\right)\:=\:\left({x}\:−\:\mathrm{1}\right)\left({x}\:−\:\mathrm{2}\right)\left({x}\:−\:\mathrm{3}\right)…\left({x}\:−\:\mathrm{50}\right) \\ $$$$\mathrm{Find}\:\mathrm{coefficient}\:\mathrm{of}\:{x}^{\mathrm{49}} \\ $$ Commented by mrW2 last updated on 12/Feb/18 $${see}\:{Q}\mathrm{29805} \\ $$ Commented…
Question Number 95309 by i jagooll last updated on 24/May/20 $$\mathrm{if}\:\mathrm{y}\:=\:\left[\:\mathrm{2x}+\mathrm{5}\:\right]\:=\:\mathrm{3}\left[\mathrm{x}−\mathrm{4}\right]\: \\ $$$$\mathrm{then}\:\left[\:\mathrm{3x}+\mathrm{y}\:\right]\:=\:?\: \\ $$ Answered by mr W last updated on 24/May/20 $${let}\:{u}={x}−\mathrm{4}={n}+{f}\:{with}\:\mathrm{0}\leqslant{f}<\mathrm{1} \\…
Question Number 160832 by cortano last updated on 07/Dec/21 $$\:\sqrt{\mathrm{2021}−\mathrm{2}\sqrt{\mathrm{2021}−\mathrm{2}\sqrt{\mathrm{2021}−\mathrm{2x}}}}\:=\:\mathrm{x} \\ $$$$\:\mathrm{x}=? \\ $$ Answered by Raxreedoroid last updated on 07/Dec/21 $${x}=\sqrt{\mathrm{2021}−\mathrm{2}{x}} \\ $$$${x}^{\mathrm{2}} =\mathrm{2021}−\mathrm{2}{x}…
Question Number 95294 by i jagooll last updated on 24/May/20 $$\mathrm{3}\:\mathrm{men},\:\mathrm{4}\:\mathrm{women}\:\&\:\mathrm{6}\:\mathrm{boy}\:\mathrm{together} \\ $$$$\mathrm{working}\:\mathrm{a}\:\mathrm{job}\:\mathrm{within}\:\mathrm{25}\:\mathrm{day}.\:\mathrm{if}\:\mathrm{2}\:\mathrm{men}\: \\ $$$$,\:\mathrm{3}\:\mathrm{women}\:\mathrm{and}\:\mathrm{4}\:\mathrm{boy}\:\mathrm{working}\:\mathrm{the}\: \\ $$$$\mathrm{same}\:\mathrm{job},\:\mathrm{complete}\:\mathrm{in}\:? \\ $$ Commented by mr W last updated…
Question Number 160821 by mathlove last updated on 07/Dec/21 Commented by Mathematification last updated on 07/Dec/21 $${Ln}\frac{{x}}{{Ln}\frac{{x}}{{Ln}\frac{{x}}{{Ln}\:….}}}\:\:=\:\:{e}\: \\ $$$${Ln}\frac{{x}}{{e}}\:=\:{e} \\ $$$${Ln}\left({x}\right)\:−\:{Ln}\left({e}\right)\:=\:{e}\: \\ $$$${Ln}\left({x}\right)\:=\:{e}\:+\:\mathrm{1}\: \\ $$$${x}\:=\:{e}^{{e}+\mathrm{1}\:}…
Question Number 95277 by bobhans last updated on 24/May/20 Commented by mr W last updated on 24/May/20 $$\frac{\mathrm{15}}{\mathrm{10}×\mathrm{10}}+\frac{\mathrm{6}}{\mathrm{12}×\mathrm{10}}=\frac{\mathrm{1}}{{x}} \\ $$$${x}=\mathrm{5}\:{days} \\ $$ Commented by bobhans…