Question Number 209794 by Ismoiljon_008 last updated on 21/Jul/24 $$\:\:\: \\ $$$$\:\:\:\mathrm{13456622577532674}\:{how}\:{many}\:\mathrm{5}-{digit} \\ $$$$\:\:\:{numbers}\:{can}\:{be}\:{made}\:{from}\:{these}\:{numbers}? \\ $$$$\:\:\:{help}\:{please} \\ $$$$ \\ $$ Answered by MM42 last updated…
Question Number 209761 by pablo1234523 last updated on 20/Jul/24 $${x}^{\mathrm{3}} −\mathrm{9}{xy}^{\mathrm{2}} =\mathrm{28} \\ $$$${x}^{\mathrm{2}} {y}−{y}^{\mathrm{3}} =\mathrm{15} \\ $$$$\mathrm{solve}\:\mathrm{for}\:{x}\:\mathrm{and}\:{y}. \\ $$$${x},{y}\in\mathbb{R} \\ $$ Answered by mr…
Question Number 209763 by Ismoiljon_008 last updated on 20/Jul/24 Commented by Ismoiljon_008 last updated on 20/Jul/24 $$\:\:\:\mathscr{F}{ind}\:{the}\:{number}\:{of}\:{roots}\:{of}\:{the}\:{following} \\ $$$$\:\:\:{equation}\:{in}\:{the}\:{interval}\:\left[\:−\mathrm{2}\pi;\mathrm{2}\pi\:\right] \\ $$$$\:\:\:{help}\:{please} \\ $$ Answered by…
Question Number 209709 by Ismoiljon_008 last updated on 19/Jul/24 $$ \\ $$$$\:\:\:\int\left({sinx}+{cosx}\right)^{\mathrm{11}} {dx}=\:? \\ $$$$\:\:\:{help}\:{me}\:{please} \\ $$ Answered by mr W last updated on 19/Jul/24…
Question Number 209718 by Ismoiljon_008 last updated on 19/Jul/24 Answered by mr W last updated on 19/Jul/24 $${a}_{{n}} =\frac{\mathrm{1}}{{n}!×\left({n}+\mathrm{2}\right)}=\frac{\mathrm{1}}{\left({n}+\mathrm{1}\right)!}−\frac{\mathrm{1}}{\left({n}+\mathrm{2}\right)!} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\mathrm{2023}} {\sum}}{a}_{{n}} =\left(\frac{\mathrm{1}}{\mathrm{2}!}−\frac{\mathrm{1}}{\mathrm{3}!}\right)+\left(\frac{\mathrm{1}}{\mathrm{3}!}−\frac{\mathrm{1}}{\mathrm{4}!}\right)+…+\left(\frac{\mathrm{1}}{\mathrm{2024}!}−\frac{\mathrm{1}}{\mathrm{2025}!}\right. \\…
Question Number 209670 by mokys last updated on 18/Jul/24 $${find}\:{the}\:{sum}\:{of}\:{sin}^{\mathrm{2}} \left(\mathrm{1}\right)+…+{sin}^{\mathrm{2}} \left(\mathrm{90}\right) \\ $$ Answered by Ar Brandon last updated on 18/Jul/24 $${S}=\underset{\theta=\mathrm{0}} {\overset{\mathrm{90}} {\sum}}\mathrm{sin}^{\mathrm{2}}…
Question Number 209672 by Ansu last updated on 18/Jul/24 Answered by som(math1967) last updated on 18/Jul/24 $$\:\frac{\mathrm{3}{x}−\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{9}−{x}}{{x}} \\ $$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}} −{x}=\mathrm{36}−\mathrm{4}{x} \\ $$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{36}=\mathrm{0} \\ $$$$\Rightarrow{x}^{\mathrm{2}}…
Question Number 209696 by Ismoiljon_008 last updated on 18/Jul/24 Commented by Ismoiljon_008 last updated on 18/Jul/24 $${help}\:{me}\:{please} \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 209671 by Ansu last updated on 18/Jul/24 $$\mathrm{5}{x}+\mathrm{3}{x}=\mathrm{10} \\ $$ Answered by SWPlaysMC last updated on 19/Jul/24 $${x}=\frac{\mathrm{5}}{\mathrm{4}} \\ $$ Answered by Frix…
Question Number 209656 by Ismoiljon_008 last updated on 17/Jul/24 $$ \\ $$$$\:\:\:\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{3}{cosx}+{sinx}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:{help} \\ $$$$ \\ $$ Answered by Berbere last updated on…