Question Number 142927 by bramlexs22 last updated on 07/Jun/21 Answered by Olaf_Thorendsen last updated on 07/Jun/21 $$\mathrm{Let}\:\left(\mathrm{C},\:\overset{\rightarrow} {{i}},\overset{\rightarrow} {{j}}\right) \\ $$$$\mathrm{with}\:\mathrm{C}\begin{pmatrix}{\mathrm{0}}\\{\mathrm{0}}\end{pmatrix} \\ $$$$\mathrm{G}\begin{pmatrix}{{c}_{\mathrm{2}} }\\{\mathrm{0}}\end{pmatrix}\:=\:{c}_{\mathrm{2}} \overset{\rightarrow}…
Question Number 77356 by mathocean1 last updated on 05/Jan/20 $$\mathrm{The}\:\mathrm{plan}\:\mathrm{is}\:\mathrm{provided}\:\mathrm{with}\:\mathrm{an}\: \\ $$$$\mathrm{orthonormal}\:\mathrm{reference}\:\left(\:\mathrm{O}.\mathrm{I}.\mathrm{J}\right). \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{points}\:\mathrm{are}\:\mathrm{given} \\ $$$$\mathrm{A}\left(\mathrm{1},\mathrm{2}\right)\:\mathrm{B}\left(−\mathrm{2},\mathrm{3}\right)\:\mathrm{C}\left(\mathrm{1},\mathrm{9}\right). \\ $$$$\mathrm{We}\:\mathrm{assume}\:\mathrm{that}\:\mathrm{the}\:\mathrm{point}\:\mathrm{O}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{barycenter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{point}\:\mathrm{A},\mathrm{B},\mathrm{C}. \\ $$$$\rightarrow\mathrm{O}=\mathrm{bar}\left\{\left(\mathrm{A};\mathrm{3}\right),\left(\mathrm{B};\mathrm{1}\right),\left(\mathrm{C};−\mathrm{1}\right)\right\} \\ $$$$ \\…
Question Number 77296 by mathocean1 last updated on 05/Jan/20 $$\mathrm{Determiner}\:\mathrm{et}\:\mathrm{construire}\:\mathrm{l}.\mathrm{ensemble} \\ $$$$\mathrm{des}\:\mathrm{points}\:\mathrm{M}\:\mathrm{tel}\:\mathrm{que}: \\ $$$$\mathrm{3MA}^{\mathrm{2}} +\mathrm{MB}^{\mathrm{2}} −\mathrm{MC}^{\mathrm{2}} =−\mathrm{42} \\ $$$$\mathrm{Le}\:\mathrm{plan}\:\mathrm{est}\:\mathrm{muni}\:\mathrm{d}.\mathrm{un}\:\mathrm{repere}\: \\ $$$$\mathrm{orthonorme}\:\left(\mathrm{O},\mathrm{I},\mathrm{J}\right) \\ $$$$\mathrm{A}\left(\mathrm{1},\mathrm{2}\right)\:\:\:\mathrm{B}\left(−\mathrm{2},\mathrm{3}\right)\:\:\mathrm{C}\left(\mathrm{1},\mathrm{9}\right). \\ $$$$\mathrm{on}\:\mathrm{considere}\:\mathrm{que}\:…
Question Number 11405 by tawa last updated on 24/Mar/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{such}\:\mathrm{that}\:\mathrm{if}\:\mathrm{they}\:\mathrm{act}\:\mathrm{at}\:\mathrm{right}\:\mathrm{angle}\:\mathrm{their} \\ $$$$\mathrm{resultant}\:\mathrm{is}\:\sqrt{\mathrm{10}}\:,\:\mathrm{and}\:\sqrt{\mathrm{13}}\:\mathrm{if}\:\mathrm{they}\:\mathrm{act}\:\mathrm{at}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{60}°.\: \\ $$ Answered by mrW1 last updated on 24/Mar/17 $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{10} \\…
Question Number 76926 by aliesam last updated on 01/Jan/20 Commented by aliesam last updated on 01/Jan/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11351 by tawa last updated on 21/Mar/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{workdone}\:\mathrm{in}\:\mathrm{moving}\:\mathrm{a}\:\mathrm{paticle}\:\mathrm{once}\:\mathrm{around}\:\mathrm{an}\:\mathrm{ellipse}\:\mathrm{C}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{xy}\:\mathrm{plane}.\:\mathrm{if}\:\mathrm{the}\:\mathrm{ellipse}\:\mathrm{has}\:\mathrm{centre}\:\mathrm{at}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{with}\:\mathrm{semi}\:\mathrm{major}\:\mathrm{and}\:\mathrm{semi}\:\mathrm{minor}\:\mathrm{axes}\: \\ $$$$\mathrm{4}\:\mathrm{and}\:\mathrm{3}\:\mathrm{respectively}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76855 by aliesam last updated on 31/Dec/19 Commented by aliesam last updated on 31/Dec/19 $${AB}={BC}=……={Fg}={GA} \\ $$$${prove}\:{that}\: \\ $$$${the}\:{area}=\frac{{a}^{\mathrm{2}} }{\mathrm{2}}\left(\pi−\mathrm{7}{tan}\left(\frac{\pi}{\mathrm{14}}\right)\right) \\ $$ Commented…
Question Number 76556 by aliesam last updated on 28/Dec/19 Answered by benjo 1/2 santuyy last updated on 28/Dec/19 $${v}\:=\:\pi{R}^{\mathrm{2}} \:{h} \\ $$$${dv}/{dt}\:=\:{dv}/{dR}\:×\:{dR}/{dt} \\ $$$$=\:\mathrm{2}\pi{Rh}\:×\:{dR}/{dt} \\…
Question Number 76554 by aliesam last updated on 28/Dec/19 Answered by mr W last updated on 28/Dec/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76555 by aliesam last updated on 28/Dec/19 Answered by MJS last updated on 28/Dec/19 $$\mathrm{if}\:{a}\:\mathrm{and}\:{b}\:\mathrm{are}\:\mathrm{located}\:\mathrm{on}\:\mathrm{the}\:\mathrm{same}\:\mathrm{lines} \\ $$$$\mathrm{blue}\:\mathrm{area}\:=\:\frac{\sqrt{\mathrm{3}}}{\mathrm{4}}{a}^{\mathrm{2}} \\ $$$$\mathrm{red}\:\mathrm{area}\:=\:\frac{\pi}{\mathrm{6}}{b}^{\mathrm{2}} \\ $$$$\Rightarrow\:{b}=\frac{\sqrt[{\mathrm{4}}]{\mathrm{27}}}{\:\sqrt{\mathrm{2}\pi}}{a} \\ $$$$\mathrm{s}=\frac{\pi}{\mathrm{3}}{b}=\frac{\sqrt[{\mathrm{4}}]{\mathrm{27}}\sqrt{\mathrm{2}\pi}}{\mathrm{6}}{a}…