Question Number 140275 by liberty last updated on 06/May/21 $$\mathrm{If}\:\begin{cases}{\mathrm{a}+\mathrm{b}+\mathrm{c}\:=\:\mathrm{5}}\\{\frac{\mathrm{1}}{\mathrm{a}}+\frac{\mathrm{1}}{\mathrm{b}}+\frac{\mathrm{1}}{\mathrm{c}}=\frac{\mathrm{1}}{\mathrm{5}}}\end{cases} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{a}^{\mathrm{3}} +\mathrm{b}^{\mathrm{3}} +\mathrm{c}^{\mathrm{3}} \:? \\ $$ Answered by Ar Brandon last updated…
Question Number 9201 by geovane10math last updated on 22/Nov/16 $$\int{x}!\:{dx}\:=\:? \\ $$$$ \\ $$ Commented by FilupSmith last updated on 23/Nov/16 $$\Gamma\left({x}\right)=\left({x}−\mathrm{1}\right)! \\ $$$$\psi\left({x}\right)=\frac{\Gamma'\left({x}\right)}{\Gamma\left({x}\right)} \\…
Question Number 9199 by tawakalitu last updated on 22/Nov/16 $$\mathrm{If}\:\:\mathrm{r}^{\mathrm{2}} \:=\:\left(\mathrm{x}\:+\:\mathrm{ea}\right)^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:\mathrm{and}\:\mathrm{s}^{\mathrm{2}} \:=\:\left(\mathrm{x}\:−\:\mathrm{ea}\right)^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{r}\:+\:\mathrm{s}\:=\:\mathrm{2a},\:\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{r}\:=\:\mathrm{a}\:+\:\mathrm{ex},\:\:\mathrm{s}\:=\:\mathrm{a}\:−\:\mathrm{ex},\:\mathrm{and}\:\mathrm{that}, \\ $$$$\mathrm{x}^{\mathrm{2}} \left(\mathrm{1}\:−\:\mathrm{e}^{\mathrm{2}} \right)\:+\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{a}^{\mathrm{2}} \left(\mathrm{1}\:−\:\mathrm{e}^{\mathrm{2}}…
Question Number 9198 by mrW last updated on 22/Nov/16 $$\mathrm{Can}\:\mathrm{I}\:\mathrm{copy}\:\mathrm{a}\:\mathrm{post}\:\mathrm{or}\:\mathrm{a}\:\mathrm{part}\:\mathrm{of}\:\mathrm{it} \\ $$$$\mathrm{into}\:\mathrm{the}\:\mathrm{editor}?\:\mathrm{or}\:\mathrm{can}\:\mathrm{I}\:\mathrm{save}\:\mathrm{a}\:\mathrm{post} \\ $$$$\mathrm{so}\:\mathrm{that}\:\mathrm{I}\:\mathrm{can}\:\mathrm{edit}\:\mathrm{it}\:\mathrm{later}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140271 by EnterUsername last updated on 06/May/21 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{common}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equations} \\ $$$$\mathrm{x}^{\mathrm{5}} −\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} −\mathrm{1}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}^{\mathrm{4}} −\mathrm{1}=\mathrm{0}\:\mathrm{is}\:\_\_\_\_. \\ $$ Answered by liberty last updated on 06/May/21…
Question Number 140270 by liberty last updated on 06/May/21 $$\mathrm{If}\:\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} +\left(\mathrm{y}−\mathrm{4}\right)^{\mathrm{2}} \:=\:\mathrm{25}\:, \\ $$$$\mathrm{what}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{7x}+\mathrm{8y}\:? \\ $$ Answered by EDWIN88 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 140260 by EnterUsername last updated on 05/May/21 $$\mathrm{Passage}:\:\mathrm{If}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{three}\:\mathrm{complex}\:\mathrm{numbers} \\ $$$$\mathrm{representing}\:\mathrm{the}\:\mathrm{points}\:{A},\:{B}\:\mathrm{and}\:{C},\:\mathrm{respectively},\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{Argands}\:\mathrm{plane}\:\mathrm{and}\:\angle{BAC}=\alpha,\:\mathrm{then} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{z}_{\mathrm{3}} −{z}_{\mathrm{1}} }{{z}_{\mathrm{2}} −{z}_{\mathrm{1}} }=\left(\frac{{AC}}{{AB}}\right)\left(\mathrm{cos}\alpha+{i}\mathrm{sin}\alpha\right) \\ $$$$\left({i}\right)\:\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}…
Question Number 9189 by raj bunsha last updated on 22/Nov/16 $${x}+{y}+{z}=−\mathrm{6} \\ $$$${xy}+{xz}+{yz}=\mathrm{11} \\ $$$${xyz}=−\mathrm{6} \\ $$$${then}\:{wbat}\:{are}\:{thd}\:{value}\:{of}\:{x}\:{yand}\:{z} \\ $$ Answered by mrW last updated on…
Question Number 9188 by geovane10math last updated on 22/Nov/16 $${Thanks}! \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com