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Question Number 129832 by ajfour last updated on 19/Jan/21 Commented by ajfour last updated on 19/Jan/21 $${If}\:{p},\:{q},\:{r}\:{are}\:{roots}\:{of}\:{y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${then}\:{find}\:{p}\:{or}\:{q}\:{or}\:{r},\:{with}\:{the} \\ $$$${help}\:{of}\:{s}. \\ $$ Commented…
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Question Number 64289 by ajfour last updated on 16/Jul/19 Commented by ajfour last updated on 16/Jul/19 $${Find}\:{s}\:{in}\:{terms}\:{of}\:{radii}\:{a}\:{and}\:{b}. \\ $$ Commented by behi83417@gmail.com last updated on…
Question Number 129825 by 0731619177 last updated on 19/Jan/21 Answered by Olaf last updated on 20/Jan/21 $$\mathrm{Let}\:{u}_{\mathrm{0}} \:=\:\mathrm{0}\:\mathrm{and}\:{u}_{{n}} \:=\:\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}…}}},\:{n}\:\geqslant\:\mathrm{1} \\ $$$${u}_{{n}+\mathrm{1}} \:=\:\sqrt{\mathrm{2}+{u}_{{n}} } \\ $$$$\mathrm{By}\:\mathrm{induction}\::…
Question Number 64287 by aliesam last updated on 16/Jul/19 Commented by mathmax by abdo last updated on 16/Jul/19 $${R}^{'} \left({t}\right)\:=\frac{\mathrm{15}.\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \left(\mathrm{1}+\mathrm{1},\mathrm{5}{e}^{−\mathrm{0},\mathrm{01}{t}} \right)−\mathrm{15}\left(\mathrm{1}−{e}^{−\mathrm{0},\mathrm{01}{t}} \right)\left(−\mathrm{1},\mathrm{5}\right)\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} }{\left(\mathrm{1}+\mathrm{1},\mathrm{5}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \right)^{\mathrm{2}}…
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