Question Number 5749 by FilupSmith last updated on 26/May/16 $$\mathrm{if}\:{a}\equiv{b}\left(\mathrm{mod}\:{c}\right) \\ $$$${does}: \\ $$$${b}\equiv{a}\left(\mathrm{mod}\:{c}\right) \\ $$$$??? \\ $$ Commented by Rasheed Soomro last updated on…
Question Number 71282 by mr W last updated on 13/Oct/19 $${solve} \\ $$$${x}\left({y}+{z}\right)=\mathrm{27} \\ $$$${y}\left({z}+{x}\right)=\mathrm{32} \\ $$$${z}\left({x}+{y}\right)=\mathrm{35} \\ $$ Answered by ajfour last updated on…
Question Number 5744 by Rasheed Soomro last updated on 26/May/16 $${If}\:\:\mathrm{0}<\:{r}<\mathrm{1},\:{is}\:{S}\:\:{convergent}\:{in}\:{the}\:{following}\:? \\ $$$${S}={a}^{\mathrm{2}} +{ar}\left({a}+{r}\right)+{ar}^{\mathrm{2}} \left({a}+\mathrm{2}{r}\right)+….. \\ $$$${Determine}\:{S}\:\:\:{if}\:\:{it}'{s}\:{convergent}. \\ $$ Commented by FilupSmith last updated on…
Question Number 136813 by mnjuly1970 last updated on 26/Mar/21 $$\:\:\:\:\: \\ $$$$\:\:\:……{advanced}\:\:\:\:{calculus}\left({I}\right)…. \\ $$$$\:\:\:\:{if}\::\: \\ $$$$\:\:\Omega=\int_{\frac{\pi}{\mathrm{4}}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{{x}.{cos}\left(\mathrm{2}{x}\right).{cos}\left({x}\right)}{{sin}^{\mathrm{7}} \left({x}\right)}\:{dx}=\frac{{a}\pi}{\mathrm{90}} \\ $$$$\:\:\:{then}\:\:::\:\:{a}=??? \\ $$$$\:\: \\ $$$$\:\:\:\:…
Question Number 5742 by Rasheed Soomro last updated on 26/May/16 $$\bullet{Determine}\:{S} \\ $$$${S}={a}^{\mathrm{2}} +{ar}\left({a}+{r}\right)+{ar}^{\mathrm{2}} \left({a}+\mathrm{2}{r}\right)+…+{ar}^{{n}−\mathrm{1}} \left\{{a}+\left({n}−\mathrm{1}\right)\:{r}\right\}. \\ $$$$ \\ $$ Answered by Yozzii last updated…
Question Number 136815 by rs4089 last updated on 26/Mar/21 Answered by Dwaipayan Shikari last updated on 26/Mar/21 $${y}={e}^{\lambda{x}} \\ $$$${x}^{\mathrm{2}} \lambda^{\mathrm{2}} +{x}\lambda+\left({x}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{4}}\right)=\mathrm{0} \\ $$$$\Rightarrow\lambda=\frac{−{x}\pm\sqrt{{x}^{\mathrm{2}}…
Question Number 5738 by FilupSmith last updated on 26/May/16 $$\mathrm{I}'\mathrm{m}\:\mathrm{having}\:\mathrm{trouble}\:\mathrm{understanding}\:\mathrm{why}: \\ $$$$\mathrm{2}^{−\mathrm{1}} \equiv\mathrm{3}\left(\mathrm{mod}\:\mathrm{5}\right) \\ $$$$ \\ $$$$\mathrm{Can}\:\mathrm{someone}\:\mathrm{explain},\:\mathrm{please}?\:\mathrm{Thank}\:\mathrm{you}! \\ $$ Commented by Rasheed Soomro last updated…
Question Number 71273 by eriga last updated on 13/Oct/19 Commented by $@ty@m123 last updated on 13/Oct/19 $${Welcome}\:{Eriga}. \\ $$$${Pl}.\:{use}\:{EDITOR}\:{option} \\ $$$${instead}\:{of}\:{FORUM}\:{to}\:{type} \\ $$$${math}\:{related}\:{material}. \\ $$$$…
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Question Number 5734 by sanusihammed last updated on 25/May/16 $${Please}\:{show}\:{me}\:{an}\:{approach}\:{to}\:{solve}\:{this}… \\ $$$$ \\ $$$$\mathrm{2}^{{x}} \:=\:\mathrm{4}{x} \\ $$$$ \\ $$$${Find}\:{the}\:{value}\:{of}\:{x}\: \\ $$ Answered by prakash jain…