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Question-132747

Question Number 132747 by aurpeyz last updated on 16/Feb/21 Commented by mr W last updated on 16/Feb/21 $$\frac{\mathrm{1}}{{s}}+\frac{\mathrm{1}}{{s}'}=\frac{\mathrm{2}}{{R}} \\ $$$$\frac{\mathrm{1}}{{s}}+\frac{\mathrm{1}}{−\mathrm{2}}=\frac{\mathrm{2}}{−\mathrm{12}} \\ $$$$\frac{\mathrm{1}}{{s}}=\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\Rightarrow{s}=\mathrm{3} \\…

expand-1-x-8-

Question Number 132682 by otchereabdullai@gmail.com last updated on 15/Feb/21 $$\mathrm{expand}\:\mathrm{1}−\mathrm{x}^{\mathrm{8}} \\ $$ Answered by MJS_new last updated on 15/Feb/21 $$\mathrm{1}−{x}^{\mathrm{8}} =\left(\mathrm{1}−{x}^{\mathrm{4}} \right)\left(\mathrm{1}+{x}^{\mathrm{4}} \right)=\left(\mathrm{1}−{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{\mathrm{4}}…

A-particle-in-a-straight-line-with-uniform-deceleration-has-a-velocity-of-40ms-1-at-point-P-20ms-1-at-point-Q-and-comes-to-rest-at-point-R-where-QR-50m-calculate-the-i-Distance-PQ-ii-T

Question Number 132683 by otchereabdullai@gmail.com last updated on 15/Feb/21 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{in}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\:\mathrm{with} \\ $$$$\mathrm{uniform}\:\mathrm{deceleration}\:\mathrm{has}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of} \\ $$$$\mathrm{40ms}^{−\mathrm{1}} \:\mathrm{at}\:\mathrm{point}\:\mathrm{P}\:,\:\mathrm{20ms}^{−\mathrm{1}} \:\mathrm{at}\:\mathrm{point}\:\mathrm{Q} \\ $$$$\mathrm{and}\:\mathrm{comes}\:\mathrm{to}\:\mathrm{rest}\:\mathrm{at}\:\mathrm{point}\:\mathrm{R}\:\mathrm{where}\: \\ $$$$\mathrm{QR}=\:\mathrm{50m}.\:\mathrm{calculate}\:\mathrm{the} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{Distance}\:\mathrm{PQ} \\ $$$$\left(\mathrm{ii}\right)\mathrm{Time}\:\mathrm{taken}\:\mathrm{to}\:\mathrm{cover}\:\mathrm{PQ} \\…

Question-67122

Question Number 67122 by sandeepkeshari0797@gmail.com last updated on 23/Aug/19 Answered by Cmr 237 last updated on 23/Aug/19 $$\mathrm{y}_{\mathrm{n}+\mathrm{2}} −\mathrm{2y}_{\mathrm{n}+\mathrm{1}} +\mathrm{y}_{\mathrm{n}} −\mathrm{n}^{\mathrm{2}} \mathrm{2}^{\mathrm{n}} =\mathrm{0} \\ $$$$\mathrm{l}'\mathrm{equation}\:\mathrm{caracteristique}\:\mathrm{est}:…

write-1-i-23-3-i-13-by-re-i-such-that-r-gt-0-pi-lt-pi-

Question Number 132655 by mohammad17 last updated on 15/Feb/21 $${write}\:\frac{\left(\mathrm{1}−{i}\right)^{\mathrm{23}} }{\left(\sqrt{\mathrm{3}}−{i}\right)^{\mathrm{13}} }\:{by}\:{re}^{{i}\theta} \:{such}\:{that}\:{r}>\mathrm{0},−\pi\leqslant\theta<\pi \\ $$ Answered by physicstutes last updated on 15/Feb/21 $$\mathrm{1}\:−{i}\:=\:\sqrt{\mathrm{2}}\:{e}^{−\frac{\pi}{\mathrm{4}}{i}} \\ $$$$\Rightarrow\:\left(\mathrm{1}−{i}\right)^{\mathrm{23}}…