Question Number 179093 by ali009 last updated on 24/Oct/22 $$\:{find}\:{the}\:{laplace}\:{transform}\:{of} \\ $$$${f}\left({t}\right)=\:{t}^{\mathrm{2}} \:{cos}\left(\mathrm{2}{t}\right)\:{u}\left({t}\right) \\ $$$${u}\left({t}\right)\:{is}\:{unit}\:{step}\:{function}\: \\ $$$${u}\left({t}\right)=\begin{cases}{\mathrm{1}\:\:\:\:\:\:\:{t}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:{t}<\mathrm{0}}\end{cases} \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 179094 by ali009 last updated on 24/Oct/22 $${determine} \\ $$$$\left.\mathrm{1}\right)\mathcal{L}^{−} \left[\frac{{s}^{\mathrm{3}} +\mathrm{3}}{{s}\left({s}^{\mathrm{2}} +\mathrm{9}\right)}\right] \\ $$$$\left.\mathrm{2}\right)\mathcal{L}^{−} \left[\frac{\mathrm{4}}{\left({s}^{\mathrm{2}} +\mathrm{2}{s}+\mathrm{5}\right)^{\mathrm{2}} }\right] \\ $$$$\mathcal{L}^{−} \:{is}\:{the}\:{inverse}\:{laplace}\:{transform} \\ $$…
Question Number 113499 by AbhishekBasnet last updated on 13/Sep/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 113490 by AbhishekBasnet last updated on 13/Sep/20 Commented by som(math1967) last updated on 13/Sep/20 $$\mathrm{Ratio}\:\mathrm{of}\:\mathrm{capitals} \\ $$$$\mathrm{5700}:\mathrm{6000}:\mathrm{6900} \\ $$$$=\mathrm{19}:\mathrm{20}:\mathrm{23} \\ $$$$\mathrm{Interest}\:\mathrm{paid} \\ $$$$\left(\mathrm{5700}+\mathrm{6000}+\mathrm{6900}\right)×\frac{\mathrm{5}}{\mathrm{100}}…
Question Number 113456 by AbhishekBasnet last updated on 13/Sep/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 113455 by AbhishekBasnet last updated on 13/Sep/20 Commented by som(math1967) last updated on 13/Sep/20 $$\mathrm{Number}\:\mathrm{of}\:\mathrm{one}\:\mathrm{kind}\:\mathrm{x}\:\mathrm{and} \\ $$$$\mathrm{other}\:\mathrm{kind}\:\mathrm{y} \\ $$$$\mathrm{x}\geqslant\mathrm{0},\mathrm{y}\geqslant\mathrm{0} \\ $$$$\mathrm{150x}+\mathrm{75y}\leqslant\mathrm{1500} \\ $$$$\mathrm{50x}+\mathrm{75y}\leqslant\mathrm{600}…
Question Number 113354 by Dwaipayan Shikari last updated on 12/Sep/20 $$\frac{\begin{pmatrix}{{n}}\\{\mathrm{0}}\end{pmatrix}}{\mathrm{2}}−\frac{\begin{pmatrix}{{n}}\\{\mathrm{1}}\end{pmatrix}}{\mathrm{3}}+\frac{\begin{pmatrix}{{n}}\\{\mathrm{2}}\end{pmatrix}}{\mathrm{4}}−\frac{\begin{pmatrix}{{n}}\\{\mathrm{3}}\end{pmatrix}}{\mathrm{5}}+…..{n} \\ $$ Commented by mr W last updated on 13/Sep/20 $$\left(\mathrm{1}−{x}\right)^{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{C}_{{k}}…
Question Number 47817 by tanmay.chaudhury50@gmail.com last updated on 15/Nov/18 Commented by tanmay.chaudhury50@gmail.com last updated on 15/Nov/18 $${same}\:{questions}\:{as}\:{asked}\:{in}\:{Q}.{No}−\mathrm{47815} \\ $$$${fig}\left({a}\right){accelarated}/{deaccelarated} \\ $$$${fig}\left({b}\right){accelarated}/{deaccelarated} \\ $$$${fig}\left({a}\right){particle}\:{moving}\:{twards}\:{origin}/{or}\:{away} \\ $$$${fig}\left({b}\right){particle}\:{movinv}\:{towards}\:{origin}/{away}…
Question Number 47815 by tanmay.chaudhury50@gmail.com last updated on 15/Nov/18 Commented by tanmay.chaudhury50@gmail.com last updated on 15/Nov/18 $${basic}\:{question} \\ $$$$\left.\mathrm{1}\right){fig}\:{a}\:\:{is}\:{it}\:{accelarated}\:{or}\:{deaccelarated}\:{motion} \\ $$$$\left.\mathrm{2}\right){fig}\:{b}\:{accelarated}/{deaccelarated}\:{motion} \\ $$$$\left.\mathrm{3}\right){fig}\left({a}\right)\:{particle}\:{moving}\:{towards}\:{origin}\:{or}\:{away} \\ $$$$\left.\mathrm{4}\right){fig}\:{b}\:{particle}\:{moving}\:{towards}\:{origin}\:{or}\:{away}…
Question Number 178877 by Tawa11 last updated on 22/Oct/22 Two forces F1 and F2 of magnitude 3 and 4 Newtons are inclined at angles 150°…