Question Number 129268 by BHOOPENDRA last updated on 14/Jan/21 $$\frac{\mathrm{1}}{\left({s}^{\mathrm{2}} +\mathrm{2}{s}+\mathrm{5}\right)^{\mathrm{2}} }\:{find}\:{inverse}\:{laplace} \\ $$ Answered by mnjuly1970 last updated on 14/Jan/21 $$\:\mathscr{F}\left({s}\right)=\frac{\mathrm{1}}{\left(\left({s}+\mathrm{1}\right)^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} \right)^{\mathrm{2}} }…
Question Number 129241 by BHOOPENDRA last updated on 14/Jan/21 $$\frac{{e}^{−\pi{s}} }{{s}^{\mathrm{2}} \left({s}^{\mathrm{2}} +\mathrm{1}\right)}\:{find}\:{inverse}\:{laplace} \\ $$ Answered by Olaf last updated on 14/Jan/21 $$\mathscr{L}\left({f}\left({t}\right)\right)\left({s}\right)\:=\:\frac{{e}^{−\pi{s}} }{{s}^{\mathrm{2}} \left({s}^{\mathrm{2}}…
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Question Number 63689 by Rio Michael last updated on 07/Jul/19 $${Show}\:{that}\:\:{if}\:\:{a}\mid{b}\:\:{then}\:{an}\mid{bn} \\ $$ Commented by Prithwish sen last updated on 07/Jul/19 $$\mathrm{lf}\:\mathrm{a}\mid\mathrm{b} \\ $$$$\mathrm{then}\:\mathrm{b}=\mathrm{aq}\:\:\:\left(\mathrm{q}\in\mathrm{N}\:\right) \\…
Question Number 63684 by Annmuema last updated on 07/Jul/19 $$\mathrm{cot}\:\mathrm{118} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129185 by Dwaipayan Shikari last updated on 13/Jan/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{dx}}{\:\sqrt{\mathrm{97}+{sin}^{\mathrm{2}} {x}}}\:\:{Hypergeometric}\:{form} \\ $$ Commented by Dwaipayan Shikari last updated on 13/Jan/21 $${I}\:{have}\:{found}\:\frac{\pi}{\mathrm{2}\sqrt{\mathrm{97}}}\:\:_{\mathrm{2}}…
Question Number 129145 by Dwaipayan Shikari last updated on 13/Jan/21 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{3}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{4}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{5}^{\mathrm{2}} }{\mathrm{1}+…}}}}}} \\ $$ Commented by Dwaipayan Shikari last updated on…
Question Number 129132 by BHOOPENDRA last updated on 13/Jan/21 Answered by Dwaipayan Shikari last updated on 13/Jan/21 $$\mathscr{L}^{−\mathrm{1}} \left(\frac{\mathrm{6}{as}}{\left(\mathrm{9}{s}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)}\right)=\frac{\mathrm{1}}{\mathrm{9}}\mathscr{L}^{−\mathrm{1}} \left(\frac{\mathrm{2}\left(\frac{{a}}{\mathrm{3}}\right){s}}{\left({s}^{\mathrm{2}} +\left(\frac{{a}}{\mathrm{3}}\right)^{\mathrm{2}} \right)}\right)=\frac{{t}}{\mathrm{9}}{sin}\left(\frac{{at}}{\mathrm{3}}\right) \\…
Question Number 63552 by minh2001 last updated on 05/Jul/19 $${Calculate}\:\underset{\mathrm{0}} {\overset{\frac{\mathrm{1}}{\mathrm{2}}} {\int}}{x}\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}+\underset{\frac{\mathrm{1}}{\mathrm{2}}} {\overset{\mathrm{1}} {\int}}{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx}+\underset{\mathrm{1}} {\overset{\mathrm{2}} {\int}}{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{4}} +\mathrm{1}}\:{dx}+\underset{\mathrm{2}} {\overset{\mathrm{3}} {\int}}{x}^{\mathrm{4}} \sqrt{{x}^{\mathrm{5}} +\mathrm{1}\:}{dx}+…+\underset{\mathrm{78}}…
Question Number 63534 by Rio Michael last updated on 05/Jul/19 $${find}\:{the}\:{set}\:{of}\:{values}\:{of}\:{x}\:{for}\:{which}\:{y}\:{is}\:{real}\:{if}\: \\ $$$$\:{y}=\frac{\left({x}−\mathrm{2}\right)\left({x}−\mathrm{1}\right)}{{x}+\mathrm{2}}\:,\:{x}\neq−\mathrm{2},\:{x}\in\mathbb{R} \\ $$ Answered by MJS last updated on 05/Jul/19 $$\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{already}\:\mathrm{given}:\:{x}\in\mathbb{R}\backslash\left\{−\mathrm{2}\right\} \\ $$…