Question Number 139108 by BHOOPENDRA last updated on 22/Apr/21 Answered by physicstutes last updated on 22/Apr/21 $$\lambda\:=\:\mathrm{0}.\mathrm{1317}\:\mathrm{year}^{−\mathrm{1}} ,\:{t}\:=\:\mathrm{21}.\mathrm{04}\:\mathrm{years},\:{N}_{\mathrm{0}} \:=\:\mathrm{1}\:\mathrm{g} \\ $$$$\mathrm{Using}\:\mathrm{the}\:\mathrm{decay}\:\mathrm{equation}: \\ $$$$\:{N}\:=\:{N}_{\mathrm{0}} {e}^{−\lambda{t}} \\…
Question Number 73572 by Rio Michael last updated on 13/Nov/19 $${determine}\:{wether}\:{or}\:{not}\:{the}\:{function}\:{f},{where} \\ $$$${f}\left({x}\right)\:=\:\begin{cases}{\mathrm{2}{x}\:+\:\mathrm{1},\:\mathrm{0}\leqslant\:{x}\:<\mathrm{2}}\\{\mathrm{7}−{x},\:\:\:\mathrm{2}\:\leqslant\:{x}\:<\:\mathrm{4}}\\{\frac{\mathrm{3}{x}}{\mathrm{4}}\:,\:\:\mathrm{4}\:\leqslant\:{x}\:<\:\mathrm{6}}\end{cases} \\ $$$${is}\:{continuous}\:{in}\:{the}\:{interval}\:\left[\mathrm{0},\mathrm{6}\left[\right.\right. \\ $$ Commented by kaivan.ahmadi last updated on 13/Nov/19 $${lim}_{{x}\rightarrow\mathrm{2}^{−}…
Question Number 139105 by mnjuly1970 last updated on 22/Apr/21 Answered by bramlexs22 last updated on 22/Apr/21 $$\frac{\mathrm{b}}{\mathrm{sin}\:\theta}=\frac{\mathrm{a}}{\mathrm{sin}\:\mathrm{2}\theta}\:\Rightarrow\:\mathrm{b}=\frac{\mathrm{a}}{\mathrm{2cos}\:\theta}\:;\:\mathrm{cos}\:\theta=\frac{\mathrm{a}}{\mathrm{2b}} \\ $$$$\measuredangle\mathrm{C}\:=\gamma=\:\mathrm{180}°−\mathrm{3}\theta \\ $$$$\mathrm{c}^{\mathrm{2}} \:=\:\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} −\mathrm{2ab}\:\mathrm{cos}\:\gamma \\…
Question Number 73570 by Rio Michael last updated on 13/Nov/19 $${f}\::\:{x}\:\rightarrow\:\begin{cases}{\mathrm{1}\:+\:{x},\:{if}\:{x}<\mathrm{1}}\\{\mathrm{2}{x}−\mathrm{1},{if}\:{x}>\mathrm{1}}\end{cases} \\ $$$${investigate}\:{the}\:{existence}\:{and}\:{non}\:{existence}\:{of}\:{the} \\ $$$${limit}\:{of}\:{f}\:{at}\:{the}\:{point}\:{x}\:=\mathrm{1} \\ $$ Commented by kaivan.ahmadi last updated on 13/Nov/19 $${lim}_{{x}\rightarrow\mathrm{1}^{−}…
Question Number 8035 by Nayon last updated on 28/Sep/16 $${prove}\:>>\:{a}^{{n}} +{b}^{{n}} ={c}^{{n}} \:\:\left[{n}>\mathrm{2}\right] \\ $$$${it}\:{has}\:{no}\:{integer}\:{roots} \\ $$$$ \\ $$ Commented by FilupSmith last updated on…
Question Number 139104 by I want to learn more last updated on 22/Apr/21 $$\mathrm{Make}\:\:\mathrm{r}\:\:\mathrm{subject}\:\mathrm{formula}:\:\:\:\:\:\mathrm{S}_{\mathrm{n}} \:\:=\:\:\:\frac{\mathrm{a}\left(\mathrm{1}\:\:\:−\:\:\:\mathrm{r}^{\mathrm{n}} \right)}{\mathrm{1}\:\:−\:\:\:\mathrm{r}} \\ $$ Commented by mr W last updated on…
Question Number 139106 by mr W last updated on 23/Apr/21 Commented by mr W last updated on 25/Apr/21 $${an}\:{uniform}\:{dense}\:{rope}\:{with}\:{length}\:\boldsymbol{{L}}\: \\ $$$${and}\:{mass}\:\boldsymbol{{m}}\:{is}\:{pulled}\:{by}\:{a}\:{truck}\:{with} \\ $$$${constant}\:{speed}.\:{on}\:{the}\:{end}\:{of}\:{rope}\:{a} \\ $$$${mass}\:\boldsymbol{{M}}\:{is}\:{connected}.\:{if}\:{the}\:{friction}…
Question Number 73569 by Rio Michael last updated on 13/Nov/19 $${let}\:{f}\left({x}\right)\:=\:\frac{{tanx}}{{tan}\mathrm{2}{x}}\:.\:{Find}\:{the}\:{points}\:{of}\:{discontinuity} \\ $$$${of}\:{f}\:{on}\:\left[\mathrm{0},\mathrm{2}\pi\right]\:{and}\:{determine}\:{wether}\:{each}\:{duscontinuity}\:{is} \\ $$$${a}\:{point}\:{discontinuity},{a}\:{jump}\:{discontinuity},{or}\:{a}\:{vertical}\:{asymtote} \\ $$$$ \\ $$ Commented by Rio Michael last updated…
Question Number 8032 by Nayon last updated on 28/Sep/16 $${find}\:{the}\:{real}\:{root}: \\ $$$$\mathrm{99}{x}^{\mathrm{3}} +\mathrm{297}{x}^{\mathrm{2}} +\mathrm{594}{x}−\mathrm{7867}=\mathrm{0} \\ $$ Answered by prakash jain last updated on 28/Sep/16 $${x}={y}−\mathrm{1}…
Question Number 139101 by mnjuly1970 last updated on 22/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…….{nice}\:\:\:{calculus}….. \\ $$$$\boldsymbol{\phi}\overset{???} {=}\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}−{x}}{\mathrm{1}−{xy}}\left(−{ln}\left({xy}\right)\right)^{\mathrm{2019}} {dxdy} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:……… \\ $$ Answered by Dwaipayan…