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Question-122203

Question Number 122203 by help last updated on 14/Nov/20 Commented by Dwaipayan Shikari last updated on 14/Nov/20 $${K}^{\mathrm{2}} {x}+\mathrm{8}{y}=\mathrm{30} \\ $$$${Kx}+\mathrm{8}{y}=\mathrm{10} \\ $$$${x}\left({K}^{\mathrm{2}} −{K}\right)=\mathrm{20}\Rightarrow{K}^{\mathrm{2}} =\frac{\mathrm{20}}{{x}}+{K}…

ABCDEF-is-prime-number-which-consist-of-six-digits-CD-DE-EF-DEF-are-prime-numbers-A-B-C-D-E-F-19-ABC-DEF-is-a-prime-number-if-ABC-DEF-x-y-x-y-

Question Number 56650 by naka3546 last updated on 20/Mar/19 $${ABCDEF}\:\:{is}\:\:{prime}\:\:{number}\:\:{which}\:\:{consist}\:\:{of}\:\:{six}\:\:{digits}\:. \\ $$$${CD},\:{DE},\:{EF},\:{DEF}\:\:{are}\:\:{prime}\:\:{numbers}\:. \\ $$$${A}\:+\:{B}\:+\:{C}\:+\:{D}\:+\:{E}\:+\:{F}\:\:=\:\:\mathrm{19} \\ $$$${ABC}\:−\:{DEF}\:\:\:{is}\:\:{a}\:\:{prime}\:\:{number}\:. \\ $$$${if}\:\:{ABC}\:+\:{DEF}\:\:=\:\:{x}\:\centerdot\:{y}\:\:\:\:\left(\:\:{x},\:{y}\:\:\:{are}\:\:{prime}\:\:{numbers}\:\:\right)\:. \\ $$$$\mid\:{x}\:−\:{y}\:\mid\:\:=\:\:…\: \\ $$ Terms of Service…

sin-x-1-x-0-05-0-1-

Question Number 56647 by ANTARES VY last updated on 20/Mar/19 $$\boldsymbol{\mathrm{sin}}\left(\frac{\boldsymbol{\pi}}{\boldsymbol{\mathrm{x}}}\right)=\mathrm{1} \\ $$$$\boldsymbol{\mathrm{x}}\in\left[\mathrm{0}.\mathrm{05};\mathrm{0}.\mathrm{1}\right] \\ $$ Commented by ajfour last updated on 20/Mar/19 $$\mathrm{sin}\:\left(\frac{\pi}{\mathrm{x}}\right)=\mathrm{sin}\:\left(\frac{\pi}{\mathrm{2}}+\mathrm{2k}\pi\right) \\ $$$$\mathrm{k}\in\left\{\mathrm{5},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9}\right\}…

Question-187716

Question Number 187716 by yaslm last updated on 20/Feb/23 Answered by Ar Brandon last updated on 20/Feb/23 $$\Sigma{F}_{{x}} :\:\mathrm{300sin}\beta=\mathrm{200sin}\alpha\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\mathrm{sin}\beta=\frac{\mathrm{2sin}\alpha}{\mathrm{3}} \\ $$$$\Sigma{F}_{\mathrm{y}} :\:\mathrm{300cos}\beta+\mathrm{200cos}\alpha=\mathrm{400} \\…

Question-187714

Question Number 187714 by 073 last updated on 20/Feb/23 Commented by 073 last updated on 20/Feb/23 $$\mathrm{fog}\left(\mathrm{x}\right)=\mathrm{5x}−\mathrm{1} \\ $$$$\mathrm{gof}^{−\mathrm{1}} \left(\mathrm{x}\right)=\mathrm{6x}+\mathrm{2} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=? \\ $$$$\mathrm{please}\:\mathrm{solution}?? \\…

tanx-sinx-dx-

Question Number 56635 by problem solverd last updated on 19/Mar/19 $$\int\frac{\sqrt{\mathrm{tan}{x}}}{\mathrm{sin}{x}}\mathrm{d}{x} \\ $$ Commented by MJS last updated on 19/Mar/19 $$\mathrm{this}\:\mathrm{leads}\:\mathrm{to}\:\mathrm{an}\:\mathrm{elliptic}\:\mathrm{integral}\:\mathrm{which}\:\mathrm{can}'\mathrm{t} \\ $$$$\mathrm{be}\:\mathrm{solved}\:\mathrm{using}\:\mathrm{elementar}\:\mathrm{calculus} \\ $$…

Question-122173

Question Number 122173 by help last updated on 14/Nov/20 Answered by physicstutes last updated on 14/Nov/20 $$\:\mathrm{Centre}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{the}\:\mathrm{line}\:{y}\:=\:\mathrm{1}\:\Rightarrow\:{y}−\mathrm{coordinate}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{centre}\:\mathrm{is}\:\mathrm{1}.\: \\ $$$$\mathrm{The}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{is}\:=\:\mathrm{4} \\ $$$$\mathrm{Let}\:\mathrm{the}\:{x}−\mathrm{coordinate}\:\mathrm{of}\:\mathrm{the}\:\mathrm{centre}\:=\:{a} \\ $$$$\mathrm{Then}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{is}\:\mathrm{given}\:\mathrm{as}…