Question Number 149940 by ajfour last updated on 08/Aug/21 Commented by ajfour last updated on 08/Aug/21 $${see}\:{Q}.\mathrm{149894} \\ $$ Answered by ajfour last updated on…
Question Number 84407 by jagoll last updated on 12/Mar/20 $$\mathrm{dy}+\mathrm{2xy}\:\mathrm{dx}\:=\:\mathrm{xe}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{y}^{\mathrm{3}} \:\mathrm{dx} \\ $$$$ \\ $$ Answered by john santu last updated on 13/Mar/20…
Question Number 84404 by Wepa last updated on 12/Mar/20 $$\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{6}\right)…\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2020}\right)=\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$ Commented by TANMAY PANACEA last updated on…
Question Number 18866 by mondodotto@gmail.com last updated on 31/Jul/17 Answered by dioph last updated on 31/Jul/17 $$\mathrm{Define}\:{y}\:\equiv\:\mathrm{log}\:{x} \\ $$$$\mathrm{Substitute}\:{x}\:=\:\mathrm{10}^{{y}} \:\left(\mathrm{here}\:\mathrm{I}\:\mathrm{assumed}\right. \\ $$$$\left.\mathrm{base}\:\mathrm{10}\:\mathrm{but}\:\mathrm{the}\:\mathrm{idea}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{for}\:\mathrm{any}\:\mathrm{base}\right) \\ $$$$\mathrm{5}^{{y}} \:+\:\left(\mathrm{10}^{{y}}…
Question Number 18864 by chernoaguero@gmail.com last updated on 31/Jul/17 Commented by mrW1 last updated on 31/Jul/17 $$\left(\mathrm{x},\mathrm{y}\right)=\left(\mathrm{1},\mathrm{2}\right),\left(\mathrm{2},\mathrm{1}\right),\left(−\mathrm{2},\mathrm{1}\right),\left(\mathrm{1},−\mathrm{2}\right),\left(\mathrm{0},−\mathrm{3}\right),\left(−\mathrm{3},\mathrm{0}\right) \\ $$ Answered by behi.8.3.4.1.7@gmail.com last updated on…
Question Number 149932 by mathdanisur last updated on 08/Aug/21 Answered by mr W last updated on 08/Aug/21 $${say}\:{AB}={CD}=\mathrm{1} \\ $$$$\frac{{BD}}{\mathrm{sin}\:\mathrm{5}{x}}=\frac{{BC}}{\mathrm{sin}\:\mathrm{9}{x}}=\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BD}=\frac{\mathrm{sin}\:\mathrm{5}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BC}=\frac{\mathrm{sin}\:\mathrm{9}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\…
Question Number 84399 by Power last updated on 12/Mar/20 Commented by TANMAY PANACEA last updated on 12/Mar/20 $${excellent}\:{problem}…{need}\:{time}\:{to}\:{hit}\:{bulls}\:{eye} \\ $$ Terms of Service Privacy Policy…
Question Number 84396 by Aditya789 last updated on 12/Mar/20 $$\int\frac{\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}+\mathrm{2}}\mathrm{dx} \\ $$ Commented by jagoll last updated on 12/Mar/20 $$\mathrm{let}\:\sqrt{\mathrm{x}+\mathrm{1}\:}\:=\:\mathrm{u}\:\Rightarrow\:\mathrm{x}=\mathrm{u}^{\mathrm{2}} −\mathrm{1} \\ $$$$\Rightarrow\int\:\frac{\:\:\left(\mathrm{u}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{u}\:\left(\mathrm{2u}\:\mathrm{du}\right)}{\mathrm{u}^{\mathrm{2}} +\mathrm{1}}\:=\:…
Question Number 84394 by jagoll last updated on 12/Mar/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution} \\ $$$$\frac{\mathrm{2x}}{\mathrm{x}−\mathrm{2}}\:\leqslant\:\mid\mathrm{x}−\mathrm{3}\mid\: \\ $$ Commented by john santu last updated on 12/Mar/20 $$\left(\mathrm{i}\right)\:\mathrm{x}\:\geqslant\mathrm{3}\:\Rightarrow\:\frac{\mathrm{2x}}{\mathrm{x}−\mathrm{2}}\:\leqslant\:\mathrm{x}−\mathrm{3} \\ $$$$\Rightarrow\mathrm{2x}\:\leqslant\:\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{2}\right)…
Question Number 18859 by myintkhaing last updated on 31/Jul/17 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}+\mathrm{2}\right)=\mathrm{f}\left(\mathrm{x}\right)+\mathrm{7}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{1}\right)=\mathrm{2};\:\mathrm{f}\left(\mathrm{2}\right)=\mathrm{5}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{150}\right)\:\mathrm{to}\:\mathrm{f}\left(\mathrm{75}\right)\:\mathrm{is} \\ $$ Answered by 433 last updated on 31/Jul/17 $$ \\ $$$$ \\…