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Question Number 90485 by Maclaurin Stickker last updated on 23/Apr/20 $${if}\:{x}_{\mathrm{0}} ={x}_{\mathrm{1}} =\mathrm{1}\:{and}\:{x}_{{n}+\mathrm{1}} =\mathrm{1996}{x}_{{n}} +\mathrm{1997}{x}_{{n}−\mathrm{1}} \\ $$$${for}\:{n}\geqslant\mathrm{2}.\:{Find}\:{the}\:{remainder}\:{of} \\ $$$${the}\:{division}\:{of}\:{x}_{\mathrm{1996}} \:{by}\:\mathrm{3} \\ $$ Commented by Maclaurin…
Question Number 24938 by kosarrr last updated on 29/Nov/17 $$\mathrm{3}^{{y}} =\mathrm{2} \\ $$$$\mathrm{2}^{{x}} =\mathrm{3} \\ $$$$\mathrm{4}^{{xy}+\mathrm{1}} ×\mathrm{9}^{{xy}} = \\ $$$$\mathrm{24}^{{xy}+\mathrm{1}} = \\ $$ Commented by…
Question Number 24937 by kosarrr last updated on 29/Nov/17 Commented by behi.8.3.4.17@gmail.com last updated on 29/Nov/17 $$\mathrm{2}^{\mathrm{k}+\mathrm{1}} =\mathrm{3}×\mathrm{2}^{\mathrm{k}−\mathrm{1}} +\mathrm{16} \\ $$$$\mathrm{2}×\mathrm{2}^{\mathrm{k}} =\frac{\mathrm{3}}{\mathrm{2}}×\mathrm{2}^{\mathrm{k}} +\mathrm{16} \\ $$$$\mathrm{4}×\mathrm{2}^{\mathrm{k}}…
Question Number 156005 by aliyn last updated on 07/Oct/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{{x}}{{sin}\left({x}\right)}\:{dx} \\ $$ Commented by CAIMAN last updated on 07/Oct/21 2G Commented by tabata…
Question Number 90471 by frc2crc last updated on 23/Apr/20 $${is}\:{there}\:{a}\:{simple}\:{way} \\ $$$${to}\:{write} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{2}}{{n}\left({n}+\mathrm{1}\right)}\right)^{{m}} \:{for}\:{any}\:{m}\geqslant\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 90465 by Hassen_Timol last updated on 23/Apr/20 Commented by Hassen_Timol last updated on 23/Apr/20 $$\mathrm{Proof}\:\mathrm{for}\:\mathrm{the}\:\mathrm{last}\:\mathrm{line} \\ $$$$\mathrm{Please}…\:\mathrm{its}\:\mathrm{quite}\:\mathrm{urgent},\:\mathrm{please}… \\ $$ Commented by abdomathmax last…
Question Number 90457 by M±th+et£s last updated on 23/Apr/20 $${the}\:{range}\:{of}\:{y}=\sqrt{{x}}\:\:{is}\left[\mathrm{0},+\infty\right)\:{if}\:{x}\geqslant\mathrm{0} \\ $$$${or}\:{just}\:\left[\mathrm{0},+\infty\right)\:? \\ $$ Commented by MJS last updated on 24/Apr/20 $$\mathrm{talking}\:\mathrm{of}\:“\mathrm{definition}''\:\mathrm{and}\:“\mathrm{range}''\:\mathrm{makes} \\ $$$$\mathrm{no}\:\mathrm{sense}\:\mathrm{for}\:{x}\notin\mathbb{R}\:\mathrm{usually}. \\…
Question Number 155983 by MathsFan last updated on 06/Oct/21 $$\:{given}\:\:{y}=\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\:,\:{then} \\ $$$$\:\left(\mathrm{1}−{x}^{\mathrm{2}} \right)\frac{{dy}}{{dx}}+\boldsymbol{{k}}{y}=\mathrm{0}.\:{find}\:\boldsymbol{{k}} \\ $$ Commented by cortano last updated on 06/Oct/21 $$\mathrm{k}=\mathrm{1} \\ $$…
Question Number 155973 by Fareed last updated on 06/Oct/21 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}−\mathrm{1} \\ $$$$\mathrm{find}\:\mathrm{a}=? \\ $$$$\mathrm{whenever}\:\:\:\:\mathrm{f}\left(\mathrm{a}\right)=\mathrm{f}^{−\mathrm{1}} \left(\mathrm{a}\right) \\ $$$$ \\ $$ Commented by MJS_new last…