Question Number 128485 by BHOOPENDRA last updated on 07/Jan/21 $${f}\left({t}\right)=\frac{\mathrm{1}−{cos}\mathrm{2}{t}}{{t}} \\ $$$${find}\:{laplace}\:{transformation}? \\ $$ Answered by Dwaipayan Shikari last updated on 07/Jan/21 $$\mathscr{L}\left(\frac{\mathrm{1}−{cos}\mathrm{2}{t}}{{t}}\right)\Rightarrow{I}\left({s}\right)=\int_{\mathrm{0}} ^{\infty} {e}^{−{st}}…
Question Number 128460 by BHOOPENDRA last updated on 07/Jan/21 $$\mathrm{2}{e}^{\mathrm{3}{t}} {sin}\mathrm{4}{t}\: \\ $$$${find}\:{laplace}\:{transformation}? \\ $$ Answered by Dwaipayan Shikari last updated on 07/Jan/21 $$\mathscr{L}\left(\mathrm{2}{e}^{\mathrm{3}{t}} {sin}\mathrm{4}{t}\right)…
Question Number 128445 by BHOOPENDRA last updated on 07/Jan/21 $${tsinh}\mathrm{2}{t}\:{sin}\mathrm{3}{t}\: \\ $$$${find}\:{the}\:{laplace}\:{transformation}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62907 by aliesam last updated on 26/Jun/19 $$\int\sqrt{\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\:}\left(\mathrm{1}+{x}\right)\:{dx} \\ $$ Commented by mathmax by abdo last updated on 26/Jun/19 $${let}\:{A}\:=\int\sqrt{\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}}\left(\mathrm{1}+{x}\right){dx}\:{changement}\:{x}\:={cos}\left(\mathrm{2}\theta\right)\:{give}\:\mathrm{2}\theta\:={arcosx}\:\Rightarrow \\ $$$${A}\:=\int\:\sqrt{\frac{\mathrm{2}{cos}^{\mathrm{2}} \left(\theta\right)}{\mathrm{2}{sin}^{\mathrm{2}}…
Question Number 62880 by YSN last updated on 26/Jun/19 $${when}\:\:{f}\left({E}^{{c}} \right)\:{is}\:{equal}\:{to}\:\left({f}\left({E}\right)\right)^{{c}} \\ $$ Commented by kaivan.ahmadi last updated on 26/Jun/19 $${explain}\:{the}\:{question}\:{please} \\ $$ Terms of…
Question Number 62874 by solihin last updated on 26/Jun/19 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sin}\left(\mathrm{6}{x}\right)}{{tan}\left(\mathrm{5}{x}\right)} \\ $$$$ \\ $$$${how}\:\:{to}\:\:{solve}\:\:{this}\:\:{w}/{o}\:\:{L}'{hospital}'{s}\:\:{rule}? \\ $$ Commented by kaivan.ahmadi last updated on 26/Jun/19 $${lim}_{{x}\rightarrow\mathrm{0}}…
Question Number 128382 by arash sharifi last updated on 06/Jan/21 $${y}={x}^{{x}^{\mathrm{2}} } \\ $$ Commented by hknkrc46 last updated on 06/Jan/21 $$\bullet\:\boldsymbol{{x}}\:\in\:\mathbb{R}\:\Rightarrow\:\boldsymbol{{y}}\:\in\:\mathbb{R} \\ $$$$\bullet\:\boldsymbol{{x}}\:=\:\mp\mathrm{1}\:\Rightarrow\:\boldsymbol{{y}}\:=\:\mathrm{1} \\…
Question Number 128321 by Dwaipayan Shikari last updated on 06/Jan/21 $${Prove} \\ $$$$\underset{{n}\geqslant\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left({a}\right)_{{n}} \left({b}\right)_{{n}} }{\left({c}\right)_{{n}} {n}!}=\frac{\Gamma\left({c}\right)\Gamma\left({c}−{a}−{b}\right)}{\Gamma\left({c}−{a}\right)\Gamma\left({c}−{b}\right)} \\ $$$${Where}\:\left({a}\right)_{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\prod}}\left({k}+{a}\right) \\ $$…
Question Number 62750 by peter frank last updated on 24/Jun/19 $${An}\:{element}\:{X}\:{has}\:{RAM} \\ $$$${of}\:\mathrm{88}{g}.{when}\:{a}\:{current} \\ $$$${of}\:\mathrm{0}.\mathrm{5}{A}\:{was}\:{passed}\:{through} \\ $$$${fused}\:{chloride}\:{of}\:{X}\:{for} \\ $$$$\mathrm{32}{minutes}\:{and}\:\mathrm{10}{sec}. \\ $$$$\mathrm{0}.\mathrm{44}{g}\:{of}\:{X}\:{was}\:{deposited} \\ $$$${at}\:{the}\:{cathode} \\ $$$$\left({a}\right){number}\:{of}\:{faraday}?…
Question Number 128256 by Dwaipayan Shikari last updated on 05/Jan/21 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}!\mathrm{1}!}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{3}!\mathrm{2}!}\left(\frac{\mathrm{1}.\mathrm{3}}{\mathrm{2}^{\mathrm{2}} }\right)^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{4}!\mathrm{3}!}\left(\frac{\mathrm{1}.\mathrm{3}.\mathrm{5}}{\mathrm{2}^{\mathrm{3}} }\right)^{\mathrm{2}} +….=\frac{\mathrm{4}}{\pi} \\ $$$${Prove}\:{the}\:{above}\:{Relation} \\ $$ Commented by Dwaipayan Shikari last…