Question Number 85858 by jagoll last updated on 25/Mar/20 $$\mathrm{Is}\:\mathrm{a}\:\mathrm{matrix} \\ $$$$\mathrm{A}^{\mathrm{T}} \mathrm{A}\:\mathrm{always}\:\mathrm{positive}\:\mathrm{definite}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 20316 by Tinkutara last updated on 25/Aug/17 $$\mathrm{If}\:\mathrm{at}\:\mathrm{a}\:\mathrm{height}\:\mathrm{of}\:\mathrm{40}\:\mathrm{m},\:\mathrm{the}\:\mathrm{direction}\:\mathrm{of} \\ $$$$\mathrm{motion}\:\mathrm{of}\:\mathrm{a}\:\mathrm{projectile}\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle} \\ $$$$\pi/\mathrm{4}\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal},\:\mathrm{then}\:\mathrm{its}\:\mathrm{initial} \\ $$$$\mathrm{velocity}\:\mathrm{and}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{projection}\:\mathrm{are}, \\ $$$$\mathrm{respectively} \\ $$$$\left({a}\right)\:\mathrm{30},\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}^{−\mathrm{1}} \left(−\frac{\mathrm{4}}{\mathrm{5}}\right) \\ $$$$\left({b}\right)\:\mathrm{30},\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}^{−\mathrm{1}} \left(−\frac{\mathrm{1}}{\mathrm{2}}\right) \\…
Question Number 20200 by ketto last updated on 24/Aug/17 Answered by Joel577 last updated on 24/Aug/17 $${x}\:.\:\mathrm{log}\:\mathrm{2}\:=\:\mathrm{6}{x}\:+\:\mathrm{3} \\ $$$$\left({x}\:.\:\mathrm{log}\:\mathrm{2}\right)\:−\:\mathrm{6}{x}\:=\:\mathrm{3} \\ $$$${x}\left[\left(\mathrm{log}\:\mathrm{2}\right)\:−\:\mathrm{6}\right]\:=\:\mathrm{3} \\ $$$${x}\:=\:\frac{\mathrm{3}}{\left(\mathrm{log}\:\mathrm{2}\right)\:−\:\mathrm{6}} \\ $$…
Question Number 20182 by DKumar last updated on 23/Aug/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 20177 by DKumar last updated on 23/Aug/17 $${But}\:{ans}\:{is}\:\frac{\mathrm{1}}{\mathrm{108}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 20174 by DKumar last updated on 23/Aug/17 $$\left(\mathrm{0}.\overset{−} {\mathrm{1}}\right)^{\mathrm{2}} \left\{\mathrm{1}−\mathrm{9}\left(\mathrm{0}.\mathrm{1}\overset{−} {\mathrm{6}}\right)^{\mathrm{2}} \right\} \\ $$ Answered by mrW1 last updated on 23/Aug/17 $$\mathrm{0}.\overline {\mathrm{1}}=\mathrm{0}.\mathrm{111111}…=\frac{\mathrm{1}}{\mathrm{9}}…
Question Number 85698 by Rio Michael last updated on 24/Mar/20 $$\mathrm{please}\:\mathrm{any}\:\mathrm{recommendation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{youtube}\:\mathrm{video} \\ $$$$\mathrm{on}\:\mathrm{General}\:\mathrm{conics}?? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 85676 by john santu last updated on 24/Mar/20 $$\int\underset{\mathrm{0}} {\overset{\infty} {\:}}\:\frac{{dx}}{\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)^{\mathrm{2}} } \\ $$$${let}\:{x}\:=\:\mathrm{tan}\:{t}\:\Rightarrow{dx}=\mathrm{sec}\:^{\mathrm{2}} {t}\:{dt} \\ $$$$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\frac{\mathrm{sec}\:^{\mathrm{2}} {t}\:{dt}}{\left(\mathrm{tan}\:{t}+\mathrm{sec}\:{t}\right)^{\mathrm{2}} }\:=\: \\…
Question Number 151204 by kalenis last updated on 19/Aug/21 Answered by JDamian last updated on 19/Aug/21 $$\left(\mathrm{1}\right) \\ $$$$\mathrm{Z}\left\{{y}\left[{k}+\mathrm{2}\right]+\mathrm{3}{y}\left[{k}+\mathrm{1}\right]+\mathrm{2}{y}\left[{k}\right]\right\}=\mathrm{Z}\left\{{x}\left[{k}\right]\right\} \\ $$$${z}^{\mathrm{2}} {Y}\left({z}\right)+\mathrm{3}{zY}\left({z}\right)+\mathrm{2}{Y}\left({z}\right)={X}\left({z}\right) \\ $$$$\left({z}^{\mathrm{2}} +\mathrm{3}{z}+\mathrm{2}\right){Y}\left({z}\right)={X}\left({z}\right)…
Question Number 20058 by Tinkutara last updated on 21/Aug/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{difference}\:\mathrm{between}\:\oint\:\mathrm{and} \\ $$$$\int?\:\mathrm{Where}\:\mathrm{is}\:\oint\:\mathrm{used}? \\ $$ Answered by dioph last updated on 21/Aug/17 $$\oint\:\mathrm{indicates}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{is}\:\mathrm{calculated} \\ $$$$\mathrm{in}\:\:\mathrm{closed}\:\mathrm{path}.\:\mathrm{For}\:\mathrm{instance},\:\mathrm{for} \\…