Question Number 164564 by Rahul_99 last updated on 18/Jan/22 $$ \\ $$$${when}\:{F}\:{does}\:{not}\:{contain}\:{y}\:{explicity}\:.\:{Find}\:{the}\:{extremals}\:{of} \\ $$$$\underset{{x}_{\mathrm{1}} } {\overset{{x}_{\mathrm{2}} } {\int}}\frac{{y}'^{\mathrm{2}} }{{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service…
Question Number 33460 by Rio Mike last updated on 17/Apr/18 $$\:\:{why}\:{do}\:{we}\:{use}\:{greek}\:{letters}\:{like}\: \\ $$$$\alpha,\beta,\theta,\pi,\Omega,\rho\:\:\:{in}\:{mathematics} \\ $$ Answered by MJS last updated on 17/Apr/18 $$\mathrm{we}\:\mathrm{want}\:\mathrm{to}\:\mathrm{be}\:\mathrm{able}\:\mathrm{to}\:\mathrm{quickly} \\ $$$$\mathrm{distinguish}\:\mathrm{and}\:\mathrm{therefore}\:\mathrm{we}…
Question Number 33462 by NECx last updated on 17/Apr/18 $${using}\:{PMI}\:{show}\:{that}\:\forall\:{n}\geqslant\mathrm{2}\:{the} \\ $$$${number}\:\mathrm{5}^{{n}} \:{ends}\:{with}\:{the}\:{digits}\:\mathrm{25} \\ $$ Answered by MJS last updated on 17/Apr/18 $${base}: \\ $$$${n}=\mathrm{2}…
Question Number 33455 by Rio Mike last updated on 16/Apr/18 $$\:\:\:\:\:{Please}\:{can}\:{someone}\:{help}\:{with}\:{a} \\ $$$${simplier}\:{method}\:{of}\:{solving}\:{this}\:{question} \\ $$$${Q}\mathrm{1};\:\:\: \\ $$$$\:\:\:{Given}\:{that}\:{the}\:{expression}\:{x}^{\mathrm{3}} +{x}^{\mathrm{2}} −\mathrm{4}{x}\:+\mathrm{5} \\ $$$${and}\:{x}^{\mathrm{3}} +\mathrm{3}{x}−\mathrm{7}\:{leave}\:{same}\:{remainder} \\ $$$${when}\:{divided}\:{by}\:\left({x}−{a}\right)\:{find}\:{the}\:{possible} \\…
Question Number 33425 by Rio Mike last updated on 16/Apr/18 $${find}\:{k}\:{if}\:{the}\:{deteminant}\:{of}\: \\ $$$$\:\:\:\begin{pmatrix}{\mathrm{3}\:\:\:\:\:\:\:\:\:{k}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix}\:\:\:{is}\:\mathrm{2}\: \\ $$$${can}\:{someone}\:{please}\:{teach}\:{me}\:{how} \\ $$$${to}\:{find}\:{the}\:{deteminant}\:{of}\:{a}\:\mathrm{3}×\mathrm{3} \\ $$$${matrix}\:? \\ $$$$\: \\ $$$$\:\: \\ $$…
Question Number 98953 by Ar Brandon last updated on 17/Jun/20 $$\mathcal{G}\mathrm{iven}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{sin}^{\mathrm{2}} \mathrm{x}\:\mathrm{find}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\mathrm{up}\:\mathrm{to}\:\mathrm{the}\:\mathrm{n}^{\mathrm{th}} \:\mathrm{term}. \\ $$ Answered by mr W last updated on 17/Jun/20…
Question Number 33413 by Rio Mike last updated on 15/Apr/18 $$ \\ $$$${the}\:{value}\:{of}\:\theta,{in}\:{the}\:{range}\:\mathrm{0}°\:\leqslant\:\:\theta\leqslant\mathrm{90}° \\ $$$${for}\:{which}\:{sin}\theta\:=\:{cos}\:\theta\:{is}…? \\ $$ Commented by Rasheed.Sindhi last updated on 16/Apr/18 $$\mathrm{sin}\theta=\mathrm{cos}\left(\mathrm{90}−\theta\right)…
Question Number 33411 by Rio Mike last updated on 15/Apr/18 $$\:\mathrm{Given}\:\mathrm{that}\:{u}\:\mathrm{and}\:{v}\:\mathrm{are}\:\mathrm{real}\:\mathrm{valued} \\ $$$$\mathrm{functions}\:\mathrm{in}\:{x}\:,\mathrm{then}\:\frac{{d}}{{dx}}\left(\frac{{u}}{{v}}\right)\:{is}\:{equal}\:{to}? \\ $$ Commented by Rio Mike last updated on 15/Apr/18 $${sorry}\:{i}\:{got}\:{it}\:{now} \\…
Question Number 98924 by Rio Michael last updated on 17/Jun/20 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:{a}+\:{bi}\:\mathrm{is}\:\mathrm{a}\:\mathrm{root}\:\mathrm{to} \\ $$$$\:{pz}^{\mathrm{2}} \:+\:{qz}\:+\:{r}\:=\:\mathrm{0}\:,\:\mathrm{where}\:{a},{b},{p},{q},{r}\:\in\mathbb{R} \\ $$$$\mathrm{then}\:{a}−{bi}\:\mathrm{is}\:\mathrm{also}\:\mathrm{a}\:\mathrm{root}\:\mathrm{to}\:\mathrm{that}\:\mathrm{equation}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 164447 by LEKOUMA last updated on 17/Jan/22 Answered by Mathspace last updated on 17/Jan/22 $${f}\left({x}\right)=\frac{{e}^{{ln}^{\mathrm{2}} {x}} }{{e}^{{xln}\left({lnx}\right)} }={e}^{{ln}^{\mathrm{2}} {x}−{xln}\left({lnx}\right)} \\ $$$${u}\left({x}\right)={ln}^{\mathrm{2}} {x}−{xln}\left({lnx}\right)=_{{lnx}={t}} \\…