Question Number 126122 by benjo_mathlover last updated on 17/Dec/20 $$\:\:{y}.{y}'+\mathrm{3}{y}=\mathrm{2}{x}\: \\ $$ Answered by Dwaipayan Shikari last updated on 17/Dec/20 $${y}'+\mathrm{3}=\frac{\mathrm{2}{x}}{{y}}\:\:\:\:\:\:\:\:{y}={vx}\Rightarrow{y}'={v}+{xv}' \\ $$$$\Rightarrow{xv}'+{v}+\mathrm{3}=\frac{\mathrm{2}}{{v}}\Rightarrow{xv}'=\frac{\mathrm{2}−{v}^{\mathrm{2}} −\mathrm{3}{v}}{{v}} \\…
Question Number 60587 by behi83417@gmail.com last updated on 22/May/19 $$\boldsymbol{\mathrm{x}}\in\left[\mathrm{0},\frac{\pi}{\mathrm{2}}\right] \\ $$$$\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}=\boldsymbol{\mathrm{tg}}\mathrm{3}\boldsymbol{\mathrm{x}} \\ $$ Commented by MJS last updated on 22/May/19 $$\mathrm{tried}\:\mathrm{a}\:\mathrm{couple}\:\mathrm{of}\:\mathrm{different}\:\mathrm{substitutions},\:\mathrm{all} \\ $$$$\mathrm{lead}\:\mathrm{to}\:\mathrm{a}\:\mathrm{polynome}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{8}\:\mathrm{without}\:\mathrm{any} \\…
Question Number 60586 by Mr X pcx last updated on 22/May/19 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}^{\mathrm{2}} \left({x}\right)}{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Commented by maxmathsup by imad last…
Question Number 191652 by 073 last updated on 28/Apr/23 Commented by 073 last updated on 28/Apr/23 $$\mathrm{solution}???? \\ $$ Answered by aleks041103 last updated on…
Question Number 126117 by zakirullah last updated on 17/Dec/20 Answered by talminator2856791 last updated on 17/Dec/20 $$\mathrm{8\%} \\ $$ Commented by zakirullah last updated on…
Question Number 126114 by zakirullah last updated on 17/Dec/20 Answered by talminator2856791 last updated on 17/Dec/20 $$\:\mathrm{quantity}\:\frac{\:\:\:\frac{\mathrm{100\%}}{\mathrm{20\%}}\:×\:\mathrm{90}\:\:\:\:\:}{\mathrm{48}}\:\mathrm{kg} \\ $$$$\:=\:\mathrm{9}.\mathrm{375}\:\mathrm{kg} \\ $$ Commented by zakirullah last…
Question Number 191651 by 073 last updated on 28/Apr/23 Commented by 073 last updated on 28/Apr/23 $$\mathrm{solution}\:\mathrm{please}??? \\ $$ Answered by aleks041103 last updated on…
Question Number 60577 by naka3546 last updated on 22/May/19 $$\mathrm{2}\sqrt{\mathrm{1}\:+\:\mathrm{3}\sqrt{\mathrm{1}\:+\:\mathrm{5}\sqrt{\mathrm{1}\:+\:\mathrm{7}\sqrt{\mathrm{1}\:+\:\mathrm{11}\sqrt{\mathrm{1}\:+\:\mathrm{13}\sqrt{\mathrm{1}\:+\:\mathrm{17}\sqrt{…}}}}}}}\:\:=\:\:{x} \\ $$$${x}\:\:=\:\:? \\ $$ Commented by ajfour last updated on 22/May/19 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{such}\:\mathrm{a}\:\mathrm{question}\:\mathrm{in}\:\mathrm{a}\:\mathrm{book}? \\ $$ Answered…
Question Number 60576 by hovea cw last updated on 22/May/19 $$\mathrm{two}\:\mathrm{faire}\:\mathrm{dices}\:\mathrm{are}\:\mathrm{tossed}\:\mathrm{together} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{the}\: \\ $$$$\mathrm{total}\:\mathrm{score}\:\mathrm{is}\:\mathrm{atmost}\:\mathrm{4} \\ $$$$ \\ $$ Commented by hovea cw last updated…
Question Number 126109 by mnjuly1970 last updated on 17/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:….{nice}\:{calculus}… \\ $$$$\:\:{verify}\:\:{that}\:::\:\:\mathrm{A}=\frac{\sqrt[{\mathrm{3}}]{\mathrm{2}+\sqrt{\mathrm{5}}}}{\mathrm{1}+\sqrt{\mathrm{5}}}\:{is} \\ $$$$\:\:\:\:\:\:{a}\:\:{rational}\:\:{number}\:… \\ $$ Answered by som(math1967) last updated on 17/Dec/20 $$\frac{\sqrt[{\mathrm{3}}]{\mathrm{8}\left(\mathrm{2}+\sqrt{\left.\mathrm{5}\right)}\right.}}{\left(\mathrm{1}+\sqrt{\mathrm{5}}\right)×\mathrm{2}} \\…