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Given-that-R-is-at-the-point-with-positive-vector-4-2j-when-t-2-Find-the-position-vector-of-R-when-t-3-

Question Number 170497 by MathsFan last updated on 25/May/22 $${Given}\:{that}\:{R}\:{is}\:{at}\:{the}\:{point}\:{with} \\ $$$${positive}\:{vector}\:\mathrm{4}−\mathrm{2}{j}\:{when}\:{t}=\mathrm{2} \\ $$$${Find}\:{the}\:{position}\:{vector}\:{of}\:{R} \\ $$$$\:{when}\:{t}=\mathrm{3} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-170488

Question Number 170488 by leicianocosta last updated on 25/May/22 Answered by FelipeLz last updated on 25/May/22 $$\left.\mathrm{1}\right)\: \\ $$$$\:\:\:\:{a}\left({t}\right)\:=\:\frac{{d}}{{dt}}\left[{v}\left({t}\right)\right]\:=\:\frac{{d}}{{dt}}\left[\mathrm{2}+\mathrm{3}{t}+\mathrm{5}{t}^{\mathrm{2}} \right]\:=\:\mathrm{3}+\mathrm{10}{t} \\ $$$$\:\:\:\:{a}\left(\mathrm{5}\right)\:=\:\mathrm{53}\:{m}\centerdot{s}^{−\mathrm{2}} \\ $$$$\left.\mathrm{2}\right) \\…

Given-that-log-4-y-1-log-4-x-y-m-and-log-2-y-1-log-2-x-m-1-show-that-y-2-1-8-m-

Question Number 170468 by MathsFan last updated on 24/May/22 $$\:\mathrm{G}{iven}\:{that}\:{log}_{\mathrm{4}} \left({y}−\mathrm{1}\right)+{log}_{\mathrm{4}} \left(\frac{{x}}{{y}}\right)={m} \\ $$$$\:{and}\:{log}_{\mathrm{2}} \left({y}+\mathrm{1}\right)−{log}_{\mathrm{2}} {x}={m}−\mathrm{1}, \\ $$$$\:{show}\:{that}\:{y}^{\mathrm{2}} =\mathrm{1}−\mathrm{8}^{{m}} \\ $$ Answered by cortano1 last…