Question Number 60621 by fjdjdcjv last updated on 22/May/19 $${if}\:\pi\:{is}\:{rational}\:{then}\:{there} \\ $$$${exists}\:{a}\:{I}_{{n}} =\frac{{v}^{\mathrm{2}{n}} }{{n}!}\underset{\mathrm{0}} {\overset{\pi} {\int}}{x}^{{n}} \left({x}−\pi\right)^{{n}} {sin}\left({x}\right){dx} \\ $$$${can}\:{someone}\:{give}\:{a}\:{easier}\:{way}\:{to}\:{expaned}\:{this} \\ $$ Commented by MJS…
Question Number 60620 by naka3546 last updated on 22/May/19 $$\mathrm{4}^{{x}} \:+\:\mathrm{9}^{{x}} \:+\:\mathrm{25}^{{x}} \:\:=\:\:\mathrm{6}^{{x}} \:+\:\mathrm{10}^{{x}} \:+\:\mathrm{15}^{{x}} \\ $$$${x}\:\:=\:\:? \\ $$ Answered by fjdjdcjv last updated on…
Question Number 191688 by Mastermind last updated on 29/Apr/23 $$\mathrm{Divide}\:\mathrm{a}\:\mathrm{113mm}\:\mathrm{line}\:\mathrm{into}\:\mathrm{ratio} \\ $$$$\mathrm{1}:\mathrm{2}:\mathrm{4} \\ $$ Commented by Mastermind last updated on 29/Apr/23 $$\mathrm{Ok}\:\mathrm{my}\:\mathrm{BOSS},\:\mathrm{thank}\:\mathrm{you}! \\ $$$$\mathrm{but}\:\mathrm{i}\:\mathrm{have}\:\mathrm{about}\:\mathrm{four}\:\mathrm{questions}\:\mathrm{on} \\…
Question Number 126148 by Study last updated on 17/Dec/20 $${A},{B},{C}\:{and}\:{D}\:{are}\:{angles}\:{of}\:{tetragon} \\ $$$${if}\:{A}+{D}=\mathrm{240}^{°\:} \:,\:\:\:{C}+{D}=\mathrm{200}{g} \\ $$$${B}+{D}=\frac{\mathrm{2}\pi}{\mathrm{3}}\:\:\:,\:{find}\:{D}=??? \\ $$ Answered by mahdipoor last updated on 17/Dec/20 $${A}+{B}+{C}+{D}=\mathrm{360}^{°}…
Question Number 60611 by aliesam last updated on 22/May/19 $${prove}\:{that}\:\underset{−\infty} {\overset{\infty} {\int}}{x}^{\mathrm{2}} {e}^{−{x}^{\mathrm{2}} } {cos}\left({x}^{\mathrm{2}} \right){sin}\left({x}^{\mathrm{2}} \right)\:{dx}\:=\:\frac{\sqrt{\pi}{sin}\left(\frac{\mathrm{3}}{\mathrm{2}}{tan}^{−\mathrm{1}} \left(\mathrm{2}\right)\right)}{\mathrm{4}\:\sqrt[{\mathrm{4}}]{\mathrm{125}}} \\ $$$${anyone}\:{can}\:{help}\:{me}\:{with}\:{this}\:{please} \\ $$$$ \\ $$ Answered…
Question Number 191680 by pete last updated on 28/Apr/23 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{of}\:\mathrm{67}!\:\mathrm{when}\:\mathrm{divided} \\ $$$$\mathrm{by}\:\mathrm{7}! \\ $$ Answered by JDamian last updated on 28/Apr/23 $${zero} \\ $$$$ \\…
Question Number 126144 by Ndala last updated on 17/Dec/20 $${if}:\:{a}+{b}={c} \\ $$$${Prove}\:{that}:\:{a}^{\frac{\mathrm{2}}{\mathrm{3}}} +{b}^{\frac{\mathrm{2}}{\mathrm{3}}} >{c}^{\frac{\mathrm{2}}{\mathrm{3}}} \\ $$$$. \\ $$$$\mathrm{H}{elp}\:{me},\:{please}! \\ $$ Answered by MJS_new last updated…
Question Number 191676 by ajfour last updated on 28/Apr/23 Commented by ajfour last updated on 28/Apr/23 $${If}\:{first}\:{time}\:{dipped}\:{area}\:{of} \\ $$$${biscuit}\:{is}\:{A}_{\mathrm{1}} . \\ $$$${Find}\:\:{max}.\:{of}\:\frac{{A}_{\mathrm{2}} }{{A}_{\mathrm{1}} }.\:\: \\…
Question Number 126139 by mnjuly1970 last updated on 17/Dec/20 $$\:\:\:\:\:\:\: \\ $$$$\:\:{closed}\:\:{formula}\:…. \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{x}^{{n}} {ln}\left({x}\right)}{\mathrm{1}+{x}}{dx}\:=? \\ $$$$\:\:\: \\ $$ Commented by Dwaipayan Shikari…
Question Number 191675 by MATHEMATICSAM last updated on 28/Apr/23 $$\mathrm{Solve}\:\mathrm{for}\:{x}\:: \\ $$$$\left({x}\:−\:\frac{\mathrm{1}}{{x}}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \:+\:\left(\mathrm{1}\:−\:\frac{\mathrm{1}}{{x}}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \:=\:{x} \\ $$ Commented by mehdee42 last updated on 29/Apr/23 $${the}\:{graph}\:{of}\:{the}\:{function}\:{is}\:{as}\:{follows}.{therefore}\:.{the}\:{given}\:\: \\…