Question Number 130692 by mnjuly1970 last updated on 28/Jan/21 $$\:….\:{ordinary}\:{differential}\:{equation}…. \\ $$$$\:{find}\:{the}\:{general}\:{solution}\::: \\ $$$$\:\:\:\:\:\:\frac{{dy}}{{dx}}={e}^{{y}} {cos}\left({x}\right)+{cot}\left({x}\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 130582 by bramlexs22 last updated on 27/Jan/21 $$\mathrm{A}\:\mathrm{metal}\:\mathrm{rain}\:\mathrm{gutter}\:\mathrm{is}\:\mathrm{to}\:\mathrm{have}\:\mathrm{3}−\mathrm{inch}\:\mathrm{and} \\ $$$$\mathrm{a}\:\mathrm{3}−\mathrm{inch}\:\mathrm{bottom}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{making}\:\mathrm{an}\:\mathrm{equal} \\ $$$$\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:\mathrm{bottom}.\:\mathrm{What}\:\mathrm{should}\: \\ $$$$\theta\:\mathrm{be}\:\mathrm{in}\:\mathrm{order}\:\mathrm{to}\:\mathrm{maximize}\:\mathrm{carrying}\:\mathrm{capasity} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{gutter}\:? \\ $$ Answered by EDWIN88 last updated…
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Question Number 64860 by Tawa1 last updated on 22/Jul/19 Commented by Tawa1 last updated on 22/Jul/19 $$\mathrm{Number}\:\mathrm{11}\:\mathrm{and}\:\mathrm{13} \\ $$ Commented by mathmax by abdo last…
Question Number 130307 by mnjuly1970 last updated on 24/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:\:….\:\:\:\:\:{cslculus}… \\ $$$$\:\:\:{evaluate}\::::\:\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\:\left({x}\:\right)}{\:\sqrt{{x}}\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\:{dx}=? \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last updated…
Find-the-angle-between-y-2-8x-and-x-2-y-2-16-at-their-point-of-intersection-for-which-y-is-positive-
Question Number 130294 by bramlexs22 last updated on 24/Jan/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{y}^{\mathrm{2}} =\mathrm{8x}\: \\ $$$$\mathrm{and}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =\mathrm{16}\:\mathrm{at}\:\mathrm{their}\:\mathrm{point}\:\mathrm{of} \\ $$$$\mathrm{intersection}\:\mathrm{for}\:\mathrm{which}\:\mathrm{y}\:\mathrm{is}\:\mathrm{positive} \\ $$ Answered by benjo_mathlover last updated on…
Question Number 130213 by benjo_mathlover last updated on 23/Jan/21 $$\:\mathrm{The}\:\mathrm{closest}\:\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{point}\:\mathrm{on}\: \\ $$$$\mathrm{the}\:\mathrm{ellipse}\:\mathrm{2x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} =\mathrm{8}\:\mathrm{to}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}=\mathrm{5x} \\ $$$$\mathrm{is}\:\_\_ \\ $$ Answered by liberty last updated on 23/Jan/21…
Question Number 130198 by mnjuly1970 last updated on 23/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:….{nice}\:\:{calculus}… \\ $$$$\:\:\:\:{calculate}:: \\ $$$$\:\:\:\:\:\:\mathscr{L}\:\left[{e}^{−{t}} .\:\sqrt{{t}\:}\:\right]\:\underset{{transform}} {\overset{{Laplace}} {=}}\:?\:… \\ $$$$\:\:\: \\ $$ Answered by Dwaipayan Shikari…
Question Number 130200 by mnjuly1970 last updated on 23/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{cslculus}… \\ $$$$\:\:\:\:\:\:\:\:{find}\:::\:\:\:\:\:\:\mathscr{L}\:\left(\:{te}^{−{t}} {ln}\left({t}\right)\right)\:\underset{{transform}} {\overset{{laplace}} {=}}? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$ Answered by Dwaipayan Shikari…
Question Number 64574 by ajfour last updated on 19/Jul/19 Commented by ajfour last updated on 19/Jul/19 $${Find}\:{polynomial}\:{function}\:{p}\left({x}\right) \\ $$$${if}\:{coloured}\:{area}\:{is}\:{a}\:{maximum}. \\ $$ Commented by mr W…