Question Number 84046 by TawaTawa1 last updated on 09/Mar/20 $$\mathrm{Please}\:\mathrm{any}\:\mathrm{short}\:\mathrm{cut}\:\mathrm{to}\:\mathrm{evaluate}:\:\:\:\:\:\int_{\:\mathrm{1}} ^{\:\mathrm{2}} \:\:\:\frac{\:\:\sqrt[{\mathrm{3}}]{\mathrm{x}\:\:−\:\:\mathrm{x}^{\mathrm{4}} }}{\mathrm{x}^{\mathrm{4}} } \\ $$ Commented by jagoll last updated on 09/Mar/20 $$\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{short}\:\mathrm{cut}\:\mathrm{method} \\…
Question Number 84047 by jagoll last updated on 09/Mar/20 $$\mathrm{how}\:\mathrm{many}\: \\ $$$$\mathrm{natural}\:\mathrm{solution}\:\mathrm{are}\:\mathrm{there}\:\mathrm{for}\: \\ $$$${x}^{\mathrm{2}} \:−\:{y}\:!\:=\:\mathrm{2019}\:. \\ $$ Answered by naka3546 last updated on 09/Mar/20 $$\mathrm{1},\:{sir}\:\:{namely}\:\:\left({x},\:{y}\right)\:=\:\left(\mathrm{45},\:\mathrm{3}\right)…
Question Number 84039 by M±th+et£s last updated on 08/Mar/20 $$\int\frac{{x}\:{cos}^{\mathrm{3}} \left({x}\right)}{{sin}^{\mathrm{5}} \left({x}\right)+{cos}^{\mathrm{5}} \left({x}\right)}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 18502 by tawa tawa last updated on 22/Jul/17 $$\mathrm{The}\:\mathrm{second}\:\mathrm{overtone}\:\mathrm{of}\:\mathrm{a}\:\mathrm{fixed}\:\mathrm{viberating}\:\mathrm{string}\:\mathrm{fixed}\:\mathrm{at}\:\mathrm{both}\:\mathrm{end}\:\mathrm{is}\:\mathrm{200cm}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{string}. \\ $$ Answered by ajfour last updated on 23/Jul/17 $$\mathrm{L}=\mathrm{n}\frac{\lambda}{\mathrm{2}} \\ $$$$\mathrm{for}\:\mathrm{second}\:\mathrm{overtone}\:\mathrm{n}=\mathrm{3}…
Question Number 84036 by M±th+et£s last updated on 08/Mar/20 $$\int_{−\mathrm{1}} ^{\mathrm{10}} {sin}\left({x}−\mid{x}\mid\right)\:{dx} \\ $$ Answered by TANMAY PANACEA last updated on 09/Mar/20 $$\int_{−\mathrm{1}} ^{\mathrm{0}} {sin}\left({x}+{x}\right){dx}+\int_{\mathrm{0}}…
Question Number 18501 by Tinkutara last updated on 22/Jul/17 $$\mathrm{In}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{ABC} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{sin}{A}.\mathrm{sin}{B}.\mathrm{sin}{C}\:=\:\frac{\Delta}{\mathrm{2}{R}^{\mathrm{2}} } \\ $$$$\left(\mathrm{2}\right)\:\mathrm{sin}{A}.\mathrm{sin}{B}.\mathrm{sin}{C}\:=\:\frac{{r}}{\mathrm{2}{R}}\left(\mathrm{sin}{A}\:+\:\mathrm{sin}{B}\:+\:\mathrm{sin}{C}\right) \\ $$$$\left(\mathrm{3}\right)\:{a}\mathrm{cos}{A}\:+\:{b}\mathrm{cos}{B}\:+\:{c}\mathrm{cos}{C}\:=\:\frac{{abc}}{\mathrm{2}{R}^{\mathrm{2}} } \\ $$$$\left(\mathrm{4}\right)\:\mathrm{sin}{A}.\mathrm{sin}{B}.\mathrm{sin}{C}\:=\:\frac{{R}}{\mathrm{2}{r}}\left(\mathrm{sin}{A}\:+\:\mathrm{sin}{B}\:+\:\mathrm{sin}{C}\right) \\ $$ Commented by b.e.h.i.8.3.417@gmail.com…
Question Number 149569 by mathdanisur last updated on 06/Aug/21 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{5x}\:+\:\mathrm{6}}{\mathrm{2x}\:-\:\mathrm{9}}\right)^{\boldsymbol{\mathrm{x}}^{\mathrm{2}} } =\:? \\ $$ Answered by Ar Brandon last updated on 06/Aug/21 $$\mathscr{L}=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{5}{x}+\mathrm{6}}{\mathrm{2}{x}−\mathrm{9}}\right)^{{x}^{\mathrm{2}}…
Question Number 18499 by chux last updated on 22/Jul/17 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{in}\:\mathrm{pounds}\:\mathrm{of}\:\mathrm{a}\:\mathrm{vertical} \\ $$$$\mathrm{cylindrical}\:\mathrm{tank}\:\mathrm{that}\:\mathrm{is}\:\mathrm{6ft}\:\mathrm{in}\:\mathrm{dia} \\ $$$$\mathrm{meter}\:\mathrm{and}\:\mathrm{15ft}\:\mathrm{in}\:\mathrm{height}.\mathrm{if}\:\mathrm{it}\:\mathrm{weig} \\ $$$$\mathrm{hs}\:\mathrm{20lbs}\:\mathrm{per}\:\mathrm{ft}\:\mathrm{of}\:\mathrm{height}. \\ $$ Commented by chux last updated on 23/Jul/17…
Question Number 149568 by mathdanisur last updated on 06/Aug/21 $${solve}\:{the}\:{equation}: \\ $$$$\mathrm{20}{z}\left[{z}\right]\:-\:\mathrm{21}\left\{{z}\right\}\:=\:\mathrm{2021} \\ $$$${where}\:\left\{\ast\right\}\:{is}\:{GIF}\:\:{and}\:\:\left\{{z}\right\}\:=\:{z}\:-\:\left[{z}\right] \\ $$ Answered by Olaf_Thorendsen last updated on 06/Aug/21 $$\mathrm{20}{z}\left[{z}\right]−\mathrm{21}\left\{{z}\right\}\:=\:\mathrm{2021}\:\:\:\:\left(\mathrm{1}\right) \\…
Question Number 84035 by M±th+et£s last updated on 08/Mar/20 $$\int\frac{{x}−\mathrm{4}}{{x}^{\mathrm{4}} −\mathrm{1}}{dx} \\ $$ Commented by MJS last updated on 08/Mar/20 $$\frac{{x}−\mathrm{4}}{{x}^{\mathrm{4}} −\mathrm{1}}=−\frac{{x}}{\mathrm{2}\left({x}^{\mathrm{2}} +\mathrm{1}\right)}+\frac{\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{1}}+\frac{\mathrm{5}}{\mathrm{4}\left({x}+\mathrm{1}\right)}−\frac{\mathrm{3}}{\mathrm{4}\left({x}−\mathrm{1}\right)} \\…