Question Number 6179 by 314159 last updated on 17/Jun/16 $${Divide}\:\mathrm{10}\:{into}\:{two}\:{parts}\:{so}\:{that}\:{twice}\:{the} \\ $$$${square}\:{of}\:{the}\:{first}\:{part}\:{plus}\:{thrice}\:{the} \\ $$$${square}\:{of}\:{the}\:{other}\:{part}\:{is}\:{the}\:{least}. \\ $$ Commented by prakash jain last updated on 17/Jun/16 $${one}\:{part}\:{x},\:{second}\:{part}\:\left(\mathrm{10}−{x}\right)…
Question Number 6174 by madscientist last updated on 17/Jun/16 $${prove}\:{the}\:{identity} \\ $$$$\int_{\partial{D}} \phi\bigtriangledown\phi\centerdot{nds}=\int\int_{{D}} \left(\phi\bigtriangledown^{\mathrm{2}\:} \phi+\bigtriangledown\phi\centerdot\bigtriangledown\phi\right){dA} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6177 by FilupSmith last updated on 17/Jun/16 $${f}\:'\left({x}\right)={xf}\left({x}\right) \\ $$$${f}\left({x}\right)=?? \\ $$ Answered by Yozzii last updated on 17/Jun/16 $$\frac{{df}}{{dx}}={xf} \\ $$$$\Rightarrow\int\frac{{df}}{{f}}=\int{xdx} \\…
Question Number 137225 by yutytfjh67ihd last updated on 31/Mar/21 $${Q}\mathrm{137026} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137217 by yutytfjh67ihd last updated on 31/Mar/21 $${Q}\mathrm{137014} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137203 by mathocean1 last updated on 31/Mar/21 $$\int\:\frac{{ln}\left(\mathrm{1}+{x}\right)}{{x}}=? \\ $$ Answered by Dwaipayan Shikari last updated on 31/Mar/21 $$\int\frac{{log}\left(\mathrm{1}+{x}\right)}{{x}}{dx} \\ $$$$=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}+\mathrm{1}}…
Question Number 137187 by mathocean1 last updated on 30/Mar/21 $${I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {sin}^{{n}} {x}\:{dx} \\ $$$${Write}\:{a}\:{relation}\:{between}\:{I}_{{n}+\mathrm{2}} \:{and}\:{I}_{{n}} . \\ $$ Answered by Dwaipayan Shikari last…
Question Number 6099 by LMTV last updated on 13/Jun/16 $$\int_{\mathrm{0}} ^{\infty} {e}^{−{st}} \mathrm{sinh}\:{atdt}=? \\ $$$$\mathrm{or}… \\ $$$$−\frac{\mathrm{1}}{{s}}\left[{e}^{−{st}} \mathrm{sinh}\:{at}\right]_{\mathrm{0}} ^{\infty} =? \\ $$$$−\frac{{a}}{{s}^{\mathrm{2}} }\left[{e}^{−{st}} \mathrm{coth}\:{at}\right]_{\mathrm{0}} ^{\infty}…
Question Number 71616 by Mr.K last updated on 18/Oct/19 $${A}\:{boy}\:{leaves}\:{a}\:\mathrm{0}.\mathrm{4}\:{kilogram}\:{stone}\: \\ $$$${from}\:{the}\:{top}\:{of}\:{a}\:\mathrm{25}\:{meter}−{high}\: \\ $$$${tower}.\:{Given}\:{g}=\mathrm{10}\:{m}/{s}^{\mathrm{2}} ,\:{calvulate} \\ $$$${the}\:{total}\:{work}\:{done}\:{by}\:{the}\:{force}\:{of}\:{the} \\ $$$${weight}\:{until}\:{the}\:{stone}\:{hits}\:{the}\:{ground} \\ $$ Terms of Service Privacy…
Question Number 71617 by Mr. K last updated on 18/Oct/19 $${One}\:{person}\:{drags}\:{a}\:\mathrm{10}\:{kilogram} \\ $$$${sandbag}\:{at}\:{a}\:{distance}\:{of}\:\mathrm{8}\:{meters} \\ $$$${employing}\:{a}\:{horizontal}\:{force}\:{of} \\ $$$$\mathrm{90}\:{N}.\:{Then}\:{lift}\:{the}\:{sandbag}\:{at}\:{a} \\ $$$${height}\:{of}\:\mathrm{1}.\mathrm{5}\:{meters},\:{calculate}\:{the} \\ $$$${total}\:{work}\:{done}\:{by}\:{the}\:{person}. \\ $$ Terms of…