Question Number 21701 by Isse last updated on 01/Oct/17 $$\int\mathrm{2}{cot}^{\mathrm{2}} \mathrm{2}{t} \\ $$ Commented by Tikufly last updated on 01/Oct/17 $$\mathrm{I}\:\mathrm{think}\:\mathrm{your}\:\mathrm{question}\:\mathrm{should} \\ $$$$\mathrm{be}\:\int\mathrm{2cot}^{\mathrm{2}} \mathrm{2tdt} \\…
Question Number 152769 by liberty last updated on 01/Sep/21 Commented by mathdanisur last updated on 01/Sep/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{x}}{\mathrm{2}}+\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \\ $$ Answered by tabata last…
Question Number 152768 by liberty last updated on 01/Sep/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{5x}+\mathrm{1}}{−\mathrm{5x}+\mathrm{2}}\right)^{\mathrm{1}+\mathrm{2x}} =? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152771 by Tawa11 last updated on 01/Sep/21 $$\mathrm{If}\:\:\:\:\mathrm{f}\left(\mathrm{z}\right)\:\:\:=\:\:\:\:\mathrm{z}\:\mathrm{sin}\left(\mathrm{z}\right)\:\:\:+\:\:\:\mid\mathrm{z}\mid^{\mathrm{2}} ,\:\:\:\:\:\:\:\mathrm{verify}\:\mathrm{if}\:\:\:\mathrm{f}\left(\mathrm{z}\right)\:\:\:\mathrm{satisfy}\:\mathrm{cauchy}\:\mathrm{rieman} \\ $$$$\mathrm{condition} \\ $$ Commented by alisiao last updated on 01/Sep/21 $${f}\left({z}\right)=\:{z}\:{sin}\left({z}\right)\:+\:{z}\:\overset{\_} {{z}} \\…
Question Number 152770 by naka3546 last updated on 01/Sep/21 $${How}\:\:{to}\:\:{prove}\:\:{that} \\ $$$$\:\:{a}<{b}<{c}\:\:\Rightarrow\:\:{a}+{b}\:>\:{c} \\ $$$${which}\:\:{a},{b},{c}\:\:{are}\:\:{sides}\:\:{of}\:\:{a}\:\:{triangle}\:? \\ $$ Commented by MJS_new last updated on 01/Sep/21 $${a}+{b}>{c}\wedge{a}+{c}>{b}\wedge{b}+{c}>{a}\:\Leftrightarrow\:{a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{sides} \\…
Question Number 152764 by mnjuly1970 last updated on 01/Sep/21 Commented by prakash jain last updated on 01/Sep/21 $$\left.\mathrm{1}\right)\:{x}={n}+{f} \\ $$$${n}\geqslant\mathrm{0} \\ $$$${n}=\left({n}+{f}\right)\left({n}+{f}\right)=\left({n}+{f}\right)^{\mathrm{2}} \\ $$$${f}^{\mathrm{2}} +\mathrm{2}{nf}+{n}\left({n}−\mathrm{1}\right)=\mathrm{0}…
Question Number 21693 by Tinkutara last updated on 01/Oct/17 $${How}\:{many}\:{six}-{digit}\:{numbers}\:{contain} \\ $$$${exactly}\:{four}\:{different}\:{digits}? \\ $$ Commented by mrW1 last updated on 02/Oct/17 $$\mathrm{9}\:\mathrm{numbers}\:\mathrm{with}\:\mathrm{exactly}\:\mathrm{1}\:\mathrm{distinct}\:\mathrm{digits} \\ $$$$\mathrm{2511}\:\mathrm{numbers}\:\mathrm{with}\:\mathrm{exactly}\:\mathrm{2}\:\mathrm{distinct}\:\mathrm{digits} \\…
Question Number 21692 by Joel577 last updated on 01/Oct/17 $$\mathrm{Let}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{quadratic}\:\mathrm{equation}\:\mathrm{and} \\ $$$${x}^{\mathrm{2}} \:−\:\mathrm{2}{x}\:+\:\mathrm{3}\:\leqslant\:{f}\left({x}\right)\:\leqslant\:\mathrm{2}{x}^{\mathrm{2}} \:−\:\mathrm{4}{x}\:+\:\mathrm{4} \\ $$$$\mathrm{for}\:\mathrm{every}\:\:{x}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:{f}\left(\mathrm{5}\right)\:=\:\mathrm{26},\:\mathrm{then}\:{f}\left(\mathrm{7}\right)\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:… \\ $$$$ \\ $$$$\left({A}\right)\:\mathrm{38}\:\:\:\:\:\:\:\:\:\left({D}\right)\:\mathrm{74} \\ $$$$\left({B}\right)\:\mathrm{50}\:\:\:\:\:\:\:\:\:\left({E}\right)\:\mathrm{92} \\…
Question Number 152761 by mnjuly1970 last updated on 01/Sep/21 $$ \\ $$$$\:{prove}\:{that}: \\ $$$$ \\ $$$$\:\:\mathrm{S}\::=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\:\mathrm{1}}{{sinh}\:\left(\mathrm{2}^{\:{n}} .{x}\right)}\right)\:\overset{?} {=}\frac{\:\mathrm{2}}{{e}^{\:\mathrm{2}{x}} −\mathrm{1}} \\ $$$$\:{m}.{n}… \\ $$…
Question Number 87224 by jagoll last updated on 03/Apr/20 $$\mathrm{how}\:\mathrm{to}\:\mathrm{simply}\:\mathrm{the}\: \\ $$$$\mathrm{boolean}\:\mathrm{algebra}\:\left(\mathrm{X}+\mathrm{Y}+\mathrm{Z}\right)\left(\mathrm{X}'\:+\mathrm{Y}+\mathrm{Z}\right) \\ $$$$\left(\mathrm{X}+\mathrm{Y}'+\mathrm{Z}\right)\: \\ $$ Commented by jagoll last updated on 03/Apr/20 $$\mathrm{how}\:\mathrm{sir}? \\…