Question Number 1171 by 112358 last updated on 09/Jul/15 $${What}\:{is}\:{the}\:{set}\:\mathbb{Z}_{\mathrm{8}} −\left\{\mathrm{0}\right\}?\:{I}\:{met} \\ $$$${this}\:{notation}\:{in}\:{a}\:{question}\:{asking} \\ $$$${whether}\:{or}\:{not}\:{the}\:{set}\:\mathbb{Z}_{\mathrm{8}} −\left\{\mathrm{0}\right\} \\ $$$${forms}\:{a}\:{group}\:{under}\: \\ $$$${multiplication}\:\left({mod}\:\mathrm{8}\right). \\ $$ Answered by 123456…
Question Number 66697 by naka3546 last updated on 18/Aug/19 Commented by kaivan.ahmadi last updated on 18/Aug/19 $${lim}_{{x}\rightarrow\frac{\pi}{\mathrm{4}}} \:\frac{−{sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)−\left(\mathrm{1}+{tan}^{\mathrm{2}} {x}\right)}{{cos}\left({x}−\frac{\pi}{\mathrm{4}}\right)}=\frac{\mathrm{0}−\left(\mathrm{1}+\mathrm{1}\right)}{\mathrm{1}}=−\mathrm{2} \\ $$ Answered by Cmr 237…
Question Number 132220 by aurpeyz last updated on 12/Feb/21 Answered by Olaf last updated on 12/Feb/21 $$\overset{\rightarrow} {\mathrm{P}}\:=\:\mathrm{6}\left(\mathrm{cos60}°\overset{\rightarrow} {{i}}+\mathrm{sin60}°\overset{\rightarrow} {{j}}\right) \\ $$$$\overset{\rightarrow} {\mathrm{P}}\:=\:\mathrm{6}\left(\frac{\mathrm{1}}{\mathrm{2}}\overset{\rightarrow} {{i}}+\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\overset{\rightarrow} {{j}}\right)…
Question Number 66683 by Tinkutara@ last updated on 18/Aug/19 Commented by mr W last updated on 18/Aug/19 $${each}\:{runner}\:{has}\:{two}\:{possibilities},\:{totally} \\ $$$$\mathrm{2}×\mathrm{2}×\mathrm{2}=\mathrm{8}.\:{such}\:{that}\:{they}\:{don}'{t}\:{collide}, \\ $$$${all}\:{of}\:{them}\:{must}\:{run}\:{in}\:{the}\:{same} \\ $$$${direction},\:{there}\:{are}\:{two}\:{such}\:{possibilities}. \\…
Question Number 66684 by Tinkutara@ last updated on 18/Aug/19 Answered by MJS last updated on 18/Aug/19 $$\mathrm{this}\:\mathrm{is}\:\mathrm{old}… \\ $$$$\mathrm{you}\:\mathrm{always}\:\mathrm{say}\:\mathrm{in}\:\mathrm{words}\:\mathrm{what}\:\mathrm{you}\:\mathrm{read}\:\mathrm{and} \\ $$$$\mathrm{write}\:\mathrm{down}\:\mathrm{in}\:\mathrm{numbers} \\ $$$$\mathrm{1} \\ $$$$\mathrm{one}\:“\mathrm{1}''\:=\:\mathrm{1}\:\mathrm{1}…
Question Number 66681 by Tinkutara@ last updated on 18/Aug/19 Commented by Tinkutara@ last updated on 18/Aug/19 $$?? \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 66670 by naka3546 last updated on 18/Aug/19 Commented by mathmax by abdo last updated on 18/Aug/19 $${let}\:{S}\:=\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{3}^{{n}} }{\mathrm{5}^{{n}} \left({n}^{\mathrm{2}} \:+\mathrm{3}{n}+\mathrm{2}\right)}\:\Rightarrow{S}\:=\sum_{{n}=\mathrm{0}} ^{\infty}…
Question Number 132206 by muneer0o0 last updated on 12/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1133 by 112358 last updated on 29/Jun/15 $${Let}\:{f}\::\:\left[\:\mathrm{0}\:,\:\mathrm{1}\:\right]\:\rightarrow\:\mathbb{R}\:\:{be}\:{a}\: \\ $$$${differentiable}\:{function}.\:{Prove} \\ $$$${that}\:{there}\:{exists}\:{a}\:{c}\:\in\:\left[\mathrm{0},\mathrm{1}\right]\:{such} \\ $$$${that}\: \\ $$$$\frac{\mathrm{4}}{\pi}\left[{f}\left(\mathrm{1}\right)−{f}\left(\mathrm{0}\right)\right]=\left(\mathrm{1}+{c}^{\mathrm{2}} \right){f}^{\:} '\left({c}\right).\: \\ $$ Commented by 123456…
Question Number 132201 by SOMEDAVONG last updated on 12/Feb/21 $$\mathrm{A}=\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\frac{\mathrm{sin}^{\mathrm{50}} \mathrm{x}+\mathrm{5sin}^{\mathrm{30}} \mathrm{x}−\mathrm{6}}{\mathrm{cos}^{\mathrm{20}} \mathrm{x}+\mathrm{cos}^{\mathrm{40}} \mathrm{2x}−\mathrm{1}} \\ $$ Answered by bemath last updated on 12/Feb/21 Answered…