Question Number 1196 by 123456 last updated on 13/Jul/15 $$\mathrm{lets}\:{f}:\mathbb{R}\rightarrow\mathbb{Z},\:\mathrm{suppose}\:\mathrm{that}\:\exists{x}\in\mathbb{R}\:\mathrm{and} \\ $$$$\exists{y}\in\mathbb{R}\:\mathrm{with}\:{x}\neq{y}\:\mathrm{such}\:{f}\left({x}\right)\neq{f}\left({y}\right) \\ $$$$\mathrm{can}\:{f}\left({x}\right)\:\mathrm{be}\:\mathrm{conrinuous}? \\ $$ Answered by prakash jain last updated on 14/Jul/15 $${f}\left({x}\right)={a}\in\mathbb{Z}…
Question Number 132265 by Salman_Abir last updated on 12/Feb/21 Answered by physicstutes last updated on 12/Feb/21 $$\mathrm{m}\:=\:\mathrm{4}\:\mathrm{kg},\:{k}\:=\:\mathrm{100}\:\mathrm{Nm}^{−\mathrm{1}} \\ $$$$\:{T}\:=\:\mathrm{2}\pi\sqrt{\frac{{m}}{{k}}}\:=\:\mathrm{2}\pi\sqrt{\frac{\mathrm{4}}{\mathrm{100}}}\: \\ $$$$\Rightarrow\:{T}\:=\:\frac{\mathrm{4}\pi}{\mathrm{25}}\:\mathrm{s} \\ $$$${f}\:=\:\frac{\mathrm{1}}{{T}}\:=\:\frac{\mathrm{25}}{\mathrm{4}\pi}\:\mathrm{Hz} \\ $$$${T}\:=\:\frac{\mathrm{2}\pi}{\omega}\:\Rightarrow\:\omega\:=\:\frac{\mathrm{2}\pi}{{T}}\:\:=\:\mathrm{2}\pi\:.\:\frac{\mathrm{25}}{\mathrm{4}\pi}\:=\:\frac{\mathrm{25}}{\mathrm{2}}\:\mathrm{rad}/\mathrm{s}…
Question Number 132264 by Salman_Abir last updated on 12/Feb/21 Answered by physicstutes last updated on 12/Feb/21 $$\mathrm{frequency}\:=\:\mathrm{5}\:\mathrm{Hz} \\ $$$$\:\:\omega\:=\:\mathrm{2}\pi{f} \\ $$$$\Rightarrow\:\omega\:=\:\frac{\mathrm{2}\pi}{\mathrm{5}}\:\mathrm{rad}/\mathrm{s} \\ $$$$\:\mathrm{T}\:=\:\frac{\mathrm{1}}{\mathrm{5}}\:\mathrm{s} \\ $$…
Question Number 66731 by aditya730222@gmail.com last updated on 19/Aug/19 $${y}={x}^{\mathrm{2}} −\mathrm{3}{x}\:\:\:\:\:{y}=\mathrm{2}{x}\:{find}\:{area} \\ $$ Commented by Tony Lin last updated on 19/Aug/19 $${x}^{\mathrm{2}} −\mathrm{3}{x}=\mathrm{2}{x} \\ $$$${x}\left({x}−\mathrm{5}\right)=\mathrm{0}…
Question Number 66728 by Tony Lin last updated on 19/Aug/19 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{{x}\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}=? \\ $$ Commented by mathmax by abdo last updated on 19/Aug/19…
Question Number 1192 by 123456 last updated on 13/Jul/15 $$\mathrm{lets}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{and}\:{g}:\mathbb{Z}\rightarrow\mathbb{R}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({x}\right)={g}\left({x}\right),{x}\in\mathbb{Z} \\ $$$$\mathrm{given}\:{a}\in\mathbb{Z},\:\mathrm{then}\:\mathrm{proof}\:\mathrm{or}\:\mathrm{give}\:\mathrm{a}\:\mathrm{counter}\:\mathrm{example}\:\mathrm{that} \\ $$$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}{f}\left({x}\right)={g}\left({a}\right) \\ $$ Commented by prakash jain last updated…
Question Number 132261 by muneer0o0 last updated on 12/Feb/21 Answered by Olaf last updated on 13/Feb/21 $$\Omega\:=\:\int_{−\mathrm{1}} ^{+\mathrm{1}} \int_{−\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }} ^{+\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }} \mathrm{sec}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dxdy}…
Question Number 132260 by Salman_Abir last updated on 12/Feb/21 Answered by Olaf last updated on 13/Feb/21 $$\left({x}\sqrt{{x}}\right)^{{x}} \:=\:{x}^{{x}\sqrt{{x}}} \\ $$$$\left({x}^{\mathrm{3}/\mathrm{2}} \right)^{{x}} \:=\:{x}^{{x}^{\mathrm{3}/\mathrm{2}} } \\ $$$${x}\mathrm{ln}{x}^{\mathrm{3}/\mathrm{2}}…
Question Number 66727 by mathmax by abdo last updated on 19/Aug/19 $${let}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:\:\:{and}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$$${calculate}\:{U}_{{n}} \:{interms}\:{of}\:{H}_{{n}} \\ $$ Terms of…
Question Number 132262 by muneer0o0 last updated on 12/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com