Question Number 9233 by geovane10math last updated on 24/Nov/16 $$\mathrm{The}\:\mathrm{gamma}\:\mathrm{function}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Gamma\left({s}\right)\:=\:\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {x}^{{s}−\mathrm{1}} \:{dx} \\ $$$$\mathrm{How}\:\mathrm{to}\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{gamma}\:\mathrm{function} \\ $$$$\mathrm{in}\:\mathrm{an}\:\mathrm{easy}\:\mathrm{and}\:\mathrm{not}\:\mathrm{time}-\mathrm{consuming}\: \\ $$$$\mathrm{way}? \\ $$$$ \\…
Question Number 74748 by mr W last updated on 30/Nov/19 Commented by mr W last updated on 30/Nov/19 $${If}\:{the}\:{total}\:{area}\:{of}\:{red}\:{squares}\:{is}\:{A}. \\ $$$${Find}\:{the}\:{total}\:{area}\:{of}\:{the}\:{blue}\:{squares} \\ $$$${and}\:{that}\:{of}\:{the}\:{green}\:{squares}. \\ $$$$…
Question Number 74747 by mr W last updated on 30/Nov/19 Answered by mind is power last updated on 30/Nov/19 $$\mathrm{let}\:\mathrm{p},\mathrm{q},\mathrm{r}\:\mathrm{side}\:\mathrm{of}\:\mathrm{red}\:\mathrm{squar},\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{blue} \\ $$$$\alpha,\beta,\varsigma\:\:\mathrm{angle}\:\mathrm{thetriangl}\:\mathrm{inside}\:\mathrm{red}\:\mathrm{squar} \\ $$$$\mathrm{a}^{\mathrm{2}} =\mathrm{p}^{\mathrm{2}}…
Question Number 140276 by cherokeesay last updated on 06/May/21 Answered by mr W last updated on 06/May/21 Commented by mr W last updated on 06/May/21…
Question Number 74726 by ajfour last updated on 29/Nov/19 Commented by ajfour last updated on 29/Nov/19 $${Find}\:{the}\:{sides}\:{of}\:{the}\:{squares}, \\ $$$${p},\:{q},\:{r}\:\:{in}\:{terms}\:{of}\:{a},\:{b},\:{c}\:. \\ $$ Commented by mr W…
Question Number 74713 by ajfour last updated on 29/Nov/19 Commented by ajfour last updated on 29/Nov/19 $${If}\:{perimeter}\:{of}\:\bigtriangleup{ABC}\:=\:\mathrm{18}\:, \\ $$$${and}\:{area}\:{is}\:{maximum},\:{find} \\ $$$${coordinates}\:{of}\:{points}\:{A},\:{B},\:{C}. \\ $$ Answered by…
Question Number 74697 by chess1 last updated on 29/Nov/19 Answered by mr W last updated on 29/Nov/19 $${let}\:{BC}=\mathrm{1} \\ $$$${DC}=\frac{\mathrm{sin}\:\mathrm{6}}{\mathrm{sin}\:\mathrm{24}} \\ $$$${AC}=\frac{\mathrm{sin}\:\mathrm{24}}{\mathrm{sin}\:\mathrm{54}} \\ $$$$\frac{\mathrm{sin}\:\left(\mathrm{12}+{x}\right)}{\mathrm{sin}\:{x}}=\frac{\mathrm{sin}\:\mathrm{24}×\mathrm{sin}\:\mathrm{24}}{\mathrm{sin}\:\mathrm{54}×\mathrm{sin}\:\mathrm{6}} \\…
Question Number 9144 by Mathcheung last updated on 21/Nov/16 $${Let}\:{f}\left({x}\right)={x}^{\mathrm{2013}} +\mathrm{2} \\ $$$$\left({a}\right).{Find}\:{the}\:{remainder}\:{when}\:{f}\left({x}\right)\:{is}\:{divided}\:{by}\:{x}+\mathrm{1}.\left({done}\right) \\ $$$$\left({b}\right).\:{Show}\:{that}\:{when}\:\mathrm{7}^{\mathrm{2013}} +\mathrm{2}\:{is}\:{divided}\:{by}\:\mathrm{8},\:{the}\:{remainder} \\ $$$$\:\:\:\:\:\:\:\:\:\:{is}\:\mathrm{1}.\:\:\:\:\left({please}\:{help}!\right) \\ $$$$ \\ $$ Answered by RasheedSoomro…
Question Number 9125 by tawakalitu last updated on 20/Nov/16 $$\mathrm{A}\:\mathrm{polygon}\:\mathrm{has}\:\mathrm{two}\:\mathrm{interior}\:\mathrm{angles}\:\mathrm{of}\:\mathrm{120}°\:\mathrm{each} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{others}\:\mathrm{are}\:\mathrm{each}\:\mathrm{150}°.\:\mathrm{calculate} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{the}\:\mathrm{polygon}\:. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{interior}\:\mathrm{angles}. \\ $$ Answered by mrW last updated on 20/Nov/16…
Question Number 74509 by ajfour last updated on 25/Nov/19 Commented by ajfour last updated on 25/Nov/19 $${Find}\:{the}\:{radius}\:{of}\:{circle}.\:\bigtriangleup{ABC} \\ $$$${is}\:{equilateral}\:{with}\:{side}\:{unity}. \\ $$ Commented by ajfour last…