Question Number 125977 by liberty last updated on 16/Dec/20 $$\:{Suppose}\:{you}\:{put}\:\$\mathrm{3000}\:{in}\:{a}\:{savings}\:{account} \\ $$$${with}\:{a}\:\mathrm{5\%}\:{annual}\:{interesrate}\:,\:{compounded} \\ $$$${continously}\:.\:{How}\:{long}\:{would}\:{it}\:{take}\:{for} \\ $$$${your}\:{money}\:{tl}\:{double}\:?\: \\ $$ Answered by bramlexs22 last updated on 16/Dec/20…
Question Number 60439 by ajfour last updated on 21/May/19 Commented by ajfour last updated on 21/May/19 $$\mathrm{Find}\:\mathrm{length}\:\mathrm{AB}.\:\mathrm{The}\:\mathrm{curve}\:\mathrm{is}\:\mathrm{cubic}. \\ $$ Answered by tanmay last updated on…
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Question Number 191510 by malwan last updated on 24/Apr/23 $${now}\:{I}\:{can}\:{write}\:{in}\:{arabic} \\ $$$${language}\:{but}\:{I}\:{cant}\:{use}\: \\ $$$${it}\:{to}\:{wrie}\:{equations} \\ $$$${for}\:{example} \\ $$$${ax}^{\mathrm{2}} \:+\:{bx}\:+\:{c}\:=\:\mathrm{0} \\ $$$$\:+\:+\:=\:\:\cancel{\underline{\mathcal{W}}} \\ $$$$\:\cancel{\underline{\mathscr{G}}}\:\cancel{\underline{\underbrace{}}} \\ $$…
Question Number 191507 by Spillover last updated on 24/Apr/23 Answered by cortano12 last updated on 25/Apr/23 $$\left(\mathrm{a}\right)\:\underset{−\infty} {\overset{\infty} {\int}}\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{1} \\ $$$$\:\:\:\:\mathrm{k}\underset{\mathrm{0}} {\overset{\mathrm{4}} {\int}}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+\mathrm{4}\right)\mathrm{dx}+\underset{\mathrm{4}} {\overset{\mathrm{5}}…
Question Number 125968 by bramlexs22 last updated on 16/Dec/20 $$\:\:\:{Find}\:{f}\left({x}\right)\:{such}\:{that}\: \\ $$$$\:\:{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)\:=\:{x} \\ $$ Answered by liberty last updated on 16/Dec/20 $$\left(\mathrm{1}\right)\:{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)\:=\:{x} \\ $$$${replace}\:{x}\rightarrow\frac{\mathrm{1}}{\mathrm{1}−{x}}\: \\…
Question Number 125969 by nico last updated on 16/Dec/20 Commented by nico last updated on 16/Dec/20 $${help}… \\ $$ Answered by MJS_new last updated on…
Question Number 191501 by normans last updated on 24/Apr/23 $$ \\ $$$$\:\:\:\:{find}\:{a}\:{solution}; \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\boldsymbol{{e}}^{\boldsymbol{{x}}} \:=\:\boldsymbol{{ln}}\left(\boldsymbol{{x}}\right) \\ $$$$ \\ $$ Commented by mehdee42 last…
Question Number 125965 by bramlexs22 last updated on 16/Dec/20 $$\:\:\:\:\int\:\mathrm{cot}\:{x}\:\mathrm{ln}\:\left(\mathrm{sin}\:{x}\right)\:{dx}\:? \\ $$ Answered by Lordose last updated on 16/Dec/20 $$ \\ $$$$\int\mathrm{cot}\left(\mathrm{x}\right)\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx}\:\overset{\mathrm{u}=\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)} {=}\int\mathrm{udu}\:\:\: \\ $$$$=\:\frac{\mathrm{u}^{\mathrm{2}}…
Question Number 125962 by bramlexs22 last updated on 15/Dec/20 $$\:\:\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\:{x}^{\mathrm{2}{x}} \:\left(\mathrm{1}+\mathrm{ln}\:{x}\right)\:{dx}\:=?\: \\ $$ Answered by liberty last updated on 16/Dec/20 $$\:{let}\:{x}^{{x}} \:=\:{r}\:\rightarrow\begin{cases}{{x}=\mathrm{1}\rightarrow{r}=\mathrm{1}}\\{{x}=\mathrm{3}\rightarrow{r}=\mathrm{27}}\end{cases}\:\wedge\:{dr}\:=\:{x}^{{x}} \left(\mathrm{1}+\mathrm{ln}\:{x}\right){dx}…