Question Number 74246 by TawaTawa last updated on 20/Nov/19 Answered by MJS last updated on 20/Nov/19 $$\mathrm{1}\:\mathrm{2}\:\mathrm{49} \\ $$$$… \\ $$$$\mathrm{1}\:\mathrm{25}\:\mathrm{26} \\ $$$$\mathrm{24}\:\mathrm{triples} \\ $$$$\mathrm{2}\:\mathrm{3}\:\mathrm{47}…
Question Number 74244 by Maclaurin Stickker last updated on 20/Nov/19 $${Find}\:{x} \\ $$$${x}^{{log}_{\mathrm{4}\:} \sqrt{{x}}} ={x}^{{log}_{\mathrm{4}} {x}} −\mathrm{2} \\ $$ Answered by MJS last updated on…
Question Number 8707 by Sopheak last updated on 22/Oct/16 $${Find}\:{an}\:{integer}\:{x}\:{that}\:{satisfies}\:{the}\:{equation}\: \\ $$$${x}^{\mathrm{5}} −\mathrm{101}{x}^{\mathrm{3}} −\mathrm{999}{x}^{\mathrm{2}} +\mathrm{100900}=\mathrm{0} \\ $$ Answered by Rasheed Soomro last updated on 23/Oct/16…
Question Number 139776 by mohammad17 last updated on 01/May/21 $$\int\:\frac{{dx}}{\mathrm{2}{cos}\left({x}\right)+\mathrm{3}{sin}\left({x}\right)} \\ $$ Answered by phanphuoc last updated on 01/May/21 $${dx}/{rcos}\left({x}+\alpha\right) \\ $$ Answered by qaz…
Question Number 74240 by ajfour last updated on 20/Nov/19 Commented by ajfour last updated on 21/Nov/19 $${Q}.\mathrm{73828}\:\:\:\left({If}\:{each}\:{face}\:{of}\:{outer}\right. \\ $$$${cube}\:{contains}\:{one}\:{corner}\:{of} \\ $$$${inner}\:{cube},\:{find}\:{range}\:{of}\:{s}/{a}. \\ $$$$\left(\boldsymbol{{s}}\:{being}\:{side}\:{length}\:{of}\:{inner}\:{cube},\right. \\ $$$$\left.\:\:{and}\:\boldsymbol{{a}}\:{that}\:{of}\:{outer}.\right)…
Question Number 139778 by chiamaka last updated on 01/May/21 $${prove}\:{that}\:{the}\:{absolute}\:{valje}\:{of}\:{z}\mathrm{1}+{z}\mathrm{2}<={absolute}\:{value}\:{of}\:{z}\mathrm{1}+{absolute}\:{value}\:{of}\:{z}\mathrm{2} \\ $$ Answered by mr W last updated on 01/May/21 Commented by mr W last…
Question Number 8704 by vuckintv last updated on 22/Oct/16 $${Solving}\:{for}\:{A}. \\ $$$${U}\left({z}\right)\:=\:{U}_{{b}} +\frac{\mathrm{2}{A}}{{h}+\mathrm{1}}\left(\rho×{g}×{sin}\left(\alpha\right)\right)^{{n}} \left[{H}^{{n}+\mathrm{1}} −\left({H}−{Z}\right)^{{n}+\mathrm{1}} \right] \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 74234 by aliesam last updated on 20/Nov/19 $${f}\left({x}\right)=\frac{\mathrm{1}}{\:\sqrt[{\mathrm{5}}]{\mathrm{4}{x}^{\mathrm{3}} }} \\ $$$$ \\ $$$${find}\:{f}^{\:} '\left({x}\right) \\ $$$$ \\ $$$${with}\:{using}\:\underset{{h}\rightarrow\mathrm{0}} {{lim}}\frac{{f}\left({x}+{h}\right)−{f}\left({x}\right)}{{h}} \\ $$ Terms of…
Question Number 139768 by Study last updated on 01/May/21 $${x}+\sqrt{{y}}=\mathrm{11} \\ $$$$\sqrt{{x}}+\sqrt{{y}}=\mathrm{7} \\ $$$${x}=? \\ $$$${y}=? \\ $$ Commented by Study last updated on 01/May/21…
Question Number 74235 by aliesam last updated on 20/Nov/19 Answered by Joel578 last updated on 20/Nov/19 $$\mid{x}\mid\:=\:\sqrt{{x}^{\mathrm{2}} } \\ $$$${f}\left({x}\right)\:=\:\sqrt{\left({x}^{\mathrm{2}} \:−\:\mathrm{3}\right)^{\mathrm{2}} } \\ $$$${f}\:'\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{\left({x}^{\mathrm{2}} \:−\:\mathrm{3}\right)^{\mathrm{2}}…