Question Number 10854 by Joel576 last updated on 27/Feb/17 $${f}\::\:\mathbb{R}\:\rightarrow\:\mathbb{R} \\ $$$${f}\left({x}\:.\:{f}\left({x}\right)\:+\:{f}\left({y}\right)\right)\:=\:\left({f}\left({x}\right)\right)^{\mathrm{2}} \:+\:{y}\:\:\:\:\:\:\:\:\:\:{x},{y}\:\in\:\mathbb{R} \\ $$$$ \\ $$$${f}\left({x}\right)\:=\:?? \\ $$ Answered by bahmanfeshki last updated on…
Question Number 10853 by geovane10math last updated on 27/Feb/17 $$\left({x}\:+\:{y}\right)^{{n}} \:=\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}{x}^{{k}} {y}^{{n}−{k}} \\ $$$$\left({x}\:−\:{y}\right)^{{n}} \:=\:??????? \\ $$ Answered by mrW1 last updated on…
Question Number 76386 by Maclaurin Stickker last updated on 27/Dec/19 $${Are}\:{give}\:{two}\:{parallel}\:{lines}\:{and}\:{a}\:{point} \\ $$$${A}\:{is}\:{given}\:{between}\:{them},\:{and}\:{the} \\ $$$${distance}\:{from}\:{A}\:{to}\:{the}\:{lines}\:{are}\: \\ $$$$\boldsymbol{{a}}\:{and}\:\boldsymbol{{b}}.\:{Determine}\:{the}\:{cathetus}\:{of} \\ $$$${right}−{angled}\:{triangle}\:{in}\:{A}\:{knowing} \\ $$$${that}\:{the}\:{other}\:{vertices}\:{belong}\:{to} \\ $$$${the}\:{parallel}\:{lines}\:{and}\:{the}\:{area}\:{of} \\ $$$${the}\:{triangle}\:{is}\:{equal}\:{to}\:\boldsymbol{{k}}^{\mathrm{2}}…
Question Number 76384 by Dofynia last updated on 26/Dec/19 $$ \\ $$ Commented by john santu last updated on 27/Dec/19 $${what}\:{is}\:{mean}? \\ $$ Terms of…
Question Number 10849 by Joel576 last updated on 27/Feb/17 $$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:{f}\left({x}\:+\:\mathrm{1000}\right)\:\mathrm{for}\:\mathrm{every}\:{x}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:{f}\left({x}\right)\:=\:\mathrm{30},\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\underset{\mathrm{3}} {\overset{\mathrm{5}} {\int}}\:{f}\left({x}\:+\:\mathrm{2016}\right)\:{dx}\:? \\ $$ Terms of Service Privacy Policy…
Question Number 141916 by mnjuly1970 last updated on 24/May/21 $$ \\ $$$$\:\:\:\:\:{prove}\:\:{that}:: \\ $$$$\:\:\:\mathrm{I}:=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {arccosh}\left({sin}\left({x}\right)+{cos}\left({x}\right)\right){dx}=\frac{\pi}{\mathrm{2}}{ln}\left(\mathrm{2}\right)\:.. \\ $$ Answered by mindispower last updated on 25/May/21…
Question Number 10846 by Saham last updated on 27/Feb/17 $$\mathrm{Two}\:\mathrm{parallel}\:\mathrm{chords}\:\mathrm{of}\:\mathrm{length}\:\mathrm{24}\:\mathrm{cm}\:\mathrm{and}\:\mathrm{10}\:\mathrm{cm}\:\mathrm{which}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{opposite} \\ $$$$\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{are}\:\mathrm{17}\:\mathrm{cm}\:\mathrm{apart}.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{whole}\:\mathrm{number}. \\ $$ Answered by mrW1 last updated on 27/Feb/17 $${r}^{\mathrm{2}} =\left(\frac{{l}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 141912 by dhgt last updated on 24/May/21 $${Q}\mathrm{138579} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 141914 by mnjuly1970 last updated on 24/May/21 $$\:\:\:\: \\ $$$$\:\:\:\:\:\:{prove}\:{that}:: \\ $$$$\:\:\:\:\:\phi:=\int_{\mathrm{0}} ^{\:\pi} \frac{{x}}{\left({sin}\left({x}\right)\right)^{\frac{\mathrm{1}}{\mathrm{2}}} }{dx}=\sqrt{\frac{\pi}{\mathrm{8}}}\:\Gamma^{\:\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{4}}\right)…\checkmark \\ $$$$\:\:\:\:\:\:\:\:\:……… \\ $$ Answered by qaz…
Question Number 141909 by mathdanisur last updated on 24/May/21 Commented by mr W last updated on 24/May/21 $${BC}=\frac{\mathrm{5}}{\mathrm{2}} \\ $$ Answered by mr W last…