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Category: Operation Research

the-force-acting-on-a-particle-P-of-mass-2kg-is-2ti-4j-N-P-is-initially-at-rest-at-point-with-position-vector-i-2j-Find-the-velocity-of-P-when-t-2-and-the-position-vector-when-t-2-

Question Number 47235 by Rio Michael last updated on 06/Nov/18 $${the}\:{force}\:{acting}\:{on}\:{a}\:{particle}\:{P}\:{of}\:{mass}\:\:\mathrm{2}{kg}\:{is}\:\left(\mathrm{2}{ti}\:+\mathrm{4}{j}\right){N}. \\ $$$${P}\:{is}\:{initially}\:{at}\:{rest}\:{at}\:{point}\:{with}\:{position}\:{vector}\:\left({i}+\mathrm{2}{j}\right). \\ $$$${Find}\:{the}\:{velocity}\:{of}\:{P}\:{when}\:{t}=\mathrm{2}\:{and}\:{the}\:{position}\:{vector}\: \\ $$$${when}\:{t}=\mathrm{2}. \\ $$ Terms of Service Privacy Policy Contact:…

the-force-acting-on-a-particle-P-of-mass-2kg-is-2ti-4j-N-P-is-initially-at-rest-at-point-with-position-vector-i-2j-Find-the-velocity-of-P-when-t-2-and-the-position-vector-when-t-2-

Question Number 47234 by Rio Michael last updated on 06/Nov/18 $${the}\:{force}\:{acting}\:{on}\:{a}\:{particle}\:{P}\:{of}\:{mass}\:\:\mathrm{2}{kg}\:{is}\:\left(\mathrm{2}{ti}\:+\mathrm{4}{j}\right){N}. \\ $$$${P}\:{is}\:{initially}\:{at}\:{rest}\:{at}\:{point}\:{with}\:{position}\:{vector}\:\left({i}+\mathrm{2}{j}\right). \\ $$$${Find}\:{the}\:{velocity}\:{of}\:{P}\:{when}\:{t}=\mathrm{2}\:{and}\:{the}\:{position}\:{vector}\: \\ $$$${when}\:{t}=\mathrm{2}. \\ $$ Terms of Service Privacy Policy Contact:…

the-force-acting-on-a-particle-P-of-mass-2kg-is-2ti-4j-N-P-is-initially-at-rest-at-point-with-position-vector-i-2j-Find-the-velocity-of-P-when-t-2-and-the-position-vector-when-t-2-

Question Number 47233 by Rio Michael last updated on 06/Nov/18 $${the}\:{force}\:{acting}\:{on}\:{a}\:{particle}\:{P}\:{of}\:{mass}\:\:\mathrm{2}{kg}\:{is}\:\left(\mathrm{2}{ti}\:+\mathrm{4}{j}\right){N}. \\ $$$${P}\:{is}\:{initially}\:{at}\:{rest}\:{at}\:{point}\:{with}\:{position}\:{vector}\:\left({i}+\mathrm{2}{j}\right). \\ $$$${Find}\:{the}\:{velocity}\:{of}\:{P}\:{when}\:{t}=\mathrm{2}\:{and}\:{the}\:{position}\:{vector}\: \\ $$$${when}\:{t}=\mathrm{2}. \\ $$ Terms of Service Privacy Policy Contact:…

y-2y-y-e-2x-2x-3-

Question Number 111105 by bobhans last updated on 02/Sep/20 $$\mathrm{y}''+\mathrm{2y}'+\mathrm{y}=\mathrm{e}^{−\mathrm{2x}} +\mathrm{2x}+\mathrm{3} \\ $$ Commented by mohammad17 last updated on 02/Sep/20 $${r}^{\mathrm{2}} +\mathrm{2}{r}+\mathrm{1}=\mathrm{0}\Rightarrow\left({r}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{0}\Rightarrow{r}_{\mathrm{1}} ={r}_{\mathrm{2}} =−\mathrm{1}…

donner-la-forme-trigonometrique-de-1-4-cos-9-isin-9-

Question Number 176549 by doline last updated on 21/Sep/22 $${donner}\:{la}\:{forme}\:{trigonometrique}\:{de}\:\mathrm{1}/\mathrm{4}\left({cos}\Pi/\mathrm{9}+{isin}\Pi/\mathrm{9}\right) \\ $$ Answered by Ar Brandon last updated on 21/Sep/22 $$\frac{\mathrm{1}}{\mathrm{4}\left(\mathrm{cos}\frac{\pi}{\mathrm{9}}+{i}\mathrm{sin}\frac{\pi}{\mathrm{9}}\right)}=\frac{\mathrm{1}}{\mathrm{4}{e}^{\frac{\pi}{\mathrm{9}}{i}} }=\frac{\mathrm{1}}{\mathrm{4}}{e}^{−\frac{\pi}{\mathrm{9}}{i}} \\ $$$$=\frac{\mathrm{1}}{\mathrm{4}}\left(\mathrm{cos}\frac{\pi}{\mathrm{9}}−{i}\mathrm{sin}\frac{\pi}{\mathrm{9}}\right) \\…

donner-la-forme-trigonometrique-de-1-i-3-1-i-cos-isin-

Question Number 176366 by doline last updated on 17/Sep/22 $${donner}\:{la}\:{forme}\:{trigonometrique}\:{de}\left(\mathrm{1}−{i}\sqrt{}\mathrm{3}\right)\left(\mathrm{1}+{i}\right)\left({cos}\theta−{isin}\theta\right) \\ $$ Answered by Ar Brandon last updated on 17/Sep/22 $$\left(\mathrm{2}{e}^{−\frac{\pi}{\mathrm{3}}{i}} \right)\left(\sqrt{\mathrm{2}}{e}^{\frac{\pi}{\mathrm{4}}{i}} \right)\left({e}^{−{i}\theta} \right)=\mathrm{2}\sqrt{\mathrm{2}}{e}^{\left(−\frac{\pi}{\mathrm{3}}+\frac{\pi}{\mathrm{4}}−\theta\right){i}} \\…