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Author: Tinku Tara

let-A-1-1-3-1-1-calculate-A-n-2-find-e-A-and-e-A-3-find-cosA-and-sinA-

Question Number 75735 by mathmax by abdo last updated on 16/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{cosA}\:{and}\:{sinA} \\ $$ Commented by abdomathmax last…

An-aeroplane-leaves-a-port-51-S-29-E-and-after-flying-759-km-due-north-it-reaches-another-point-R-calculate-i-Latitude-of-R-correct-to-the-nearest-degree-ii-Radius-of-the-parallel-of-la

Question Number 10198 by Tawakalitu ayo mi last updated on 29/Jan/17 $$\mathrm{An}\:\mathrm{aeroplane}\:\mathrm{leaves}\:\mathrm{a}\:\mathrm{port}\:\left(\mathrm{51}^{°} \mathrm{S},\:\:\mathrm{29}^{°} \mathrm{E}\right)\:\mathrm{and} \\ $$$$\mathrm{after}\:\mathrm{flying}\:\mathrm{759}\:\mathrm{km}\:\mathrm{due}\:\mathrm{north}.\:\mathrm{it}\:\mathrm{reaches} \\ $$$$\mathrm{another}\:\mathrm{point}\:\mathrm{R}.\:\mathrm{calculate}: \\ $$$$\left(\mathrm{i}\right)\:\mathrm{Latitude}\:\mathrm{of}\:\mathrm{R}\:\mathrm{correct}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{degree} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{Radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{parallel}\:\mathrm{of}\:\mathrm{latitude}\:\mathrm{through} \\ $$$$\mathrm{R}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{whole}\:\mathrm{number}. \\…

3-x-2-3-8x-16-16-x-

Question Number 10197 by konen last updated on 29/Jan/17 $$\:^{\mathrm{3}} \sqrt{\mathrm{x}−\mathrm{2}}+^{\mathrm{3}} \sqrt{\mathrm{8x}−\mathrm{16}}=\mathrm{16}\Rightarrow\mathrm{x}=? \\ $$ Answered by sandy_suhendra last updated on 29/Jan/17 $$\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{2}}\:\:+\:\sqrt[{\mathrm{3}}]{\mathrm{8}\left(\mathrm{x}−\mathrm{2}\right)}\:=\:\mathrm{16} \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{2}}\:+\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{2}}\:=\:\mathrm{16} \\…

The-number-of-integral-solutions-of-the-equation-7-y-1-y-2-y-2-1-y-2-9-are-

Question Number 10195 by priyank last updated on 30/Jan/17 $${The}\:{number}\:{of}\:{integral}\:{solutions}\:{of}\:{the}\:{equation}\: \\ $$$$\mathrm{7}\left({y}+\frac{\mathrm{1}}{{y}}\right)−\mathrm{2}\left({y}^{\mathrm{2}} +\frac{\mathrm{1}}{{y}^{\mathrm{2}} }\right)=\mathrm{9}\:\mathrm{are}? \\ $$ Commented by prakash jain last updated on 30/Jan/17 $${y}+\frac{\mathrm{1}}{{y}}={u}…