Question Number 154437 by ArielVyny last updated on 18/Sep/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {arcos}\left(\frac{{cosx}}{\mathrm{1}+\mathrm{2}{cosx}}\right){dx} \\ $$ Answered by phanphuoc last updated on 18/Sep/21 $${put}\:{x}={tan}\left({t}/\mathrm{2}\right) \\ $$$$ \\…
Question Number 88902 by M±th+et£s last updated on 13/Apr/20 $$\int_{\frac{\mathrm{1}}{{e}}} ^{{e}} {ln}\mid{x}\mid\:{dx} \\ $$ Commented by abdomathmax last updated on 13/Apr/20 $$\int_{\frac{\mathrm{1}}{{e}}} ^{{e}} \:{ln}\mid{x}\mid{dx}\:=\left[{xlnx}−{x}\right]_{\frac{\mathrm{1}}{{e}}} ^{{e}}…
Question Number 23364 by alibhar last updated on 29/Oct/17 $${Mode}=\mathrm{17},\:{mean}=\mathrm{10}.\mathrm{22},\:{median}=\mathrm{10} \\ $$$${Describe}\:{the}\:{shape}\:{of}\:{distribution}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154433 by oustmuchiya@gmail.com last updated on 18/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 88899 by Ar Brandon last updated on 13/Apr/20 $${Simplify} \\ $$$$\frac{\sqrt[{\mathrm{3}}]{\mathrm{35}+\mathrm{18}{i}\sqrt{\mathrm{3}}}+\sqrt[{\mathrm{3}}]{\mathrm{35}−\mathrm{18}{i}\sqrt{\mathrm{3}}}−\mathrm{4}}{\mathrm{3}} \\ $$ Commented by naka3546 last updated on 14/Apr/20 $${Is}\:\:{it}\:\:{unique}\:\:{solution}\:\:? \\ $$…
Question Number 23362 by tawa tawa last updated on 29/Oct/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 88896 by M±th+et£s last updated on 13/Apr/20 $${find}\: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{ln}\left({sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\right)}{{ln}\left({sin}\left({x}\right)+{cos}\left({x}\right)\right)} \\ $$ Commented by abdomathmax last updated on 13/Apr/20 $${let}\:{f}\left({x}\right)=\frac{{ln}\left({sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\right)}{{ln}\left({sinx}+{cosx}\right)}\:\:{we}\:{have} \\ $$$${sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\sim\mathrm{3}{x}\:+\mathrm{1}−\frac{\left(\mathrm{3}{x}\right)^{\mathrm{2}}…
Question Number 23361 by Tinkutara last updated on 29/Oct/17 $$\mathrm{A}\:\mathrm{50}\:\mathrm{g}\:\mathrm{lead}\:\mathrm{bullet},\:\mathrm{sp}.\:\mathrm{heat}\:\mathrm{0}.\mathrm{02}\:\mathrm{is} \\ $$$$\mathrm{initially}\:\mathrm{at}\:\mathrm{30}°\mathrm{C}.\:\mathrm{It}\:\mathrm{is}\:\mathrm{fired}\:\mathrm{vertically} \\ $$$$\mathrm{upwards}\:\mathrm{with}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{840}\:\mathrm{m}/\mathrm{s}\:\mathrm{and} \\ $$$$\mathrm{on}\:\mathrm{returning}\:\mathrm{to}\:\mathrm{the}\:\mathrm{starting}\:\mathrm{level}\:\mathrm{strikes} \\ $$$$\mathrm{a}\:\mathrm{cake}\:\mathrm{of}\:\mathrm{ice}\:\mathrm{at}\:\mathrm{0}°\mathrm{C}.\:\mathrm{How}\:\mathrm{much}\:\mathrm{ice}\:\mathrm{is} \\ $$$$\mathrm{melted}?\:\mathrm{Assume}\:\mathrm{that}\:\mathrm{all}\:\mathrm{energy}\:\mathrm{is} \\ $$$$\mathrm{spent}\:\mathrm{in}\:\mathrm{melting}\:\mathrm{only}\:\left({L}\:=\:\mathrm{80}\:\mathrm{cal}/\mathrm{g}\right). \\ $$ Answered…
Question Number 154434 by oustmuchiya@gmail.com last updated on 18/Sep/21 Answered by mr W last updated on 18/Sep/21 $$\frac{{BD}}{{AB}}=\frac{{AB}}{{BC}} \\ $$$$\Rightarrow{BD}=\frac{{AB}^{\mathrm{2}} }{{BC}}=\frac{\mathrm{8}^{\mathrm{2}} }{\mathrm{16}}=\mathrm{4} \\ $$ Terms…
Question Number 154429 by liberty last updated on 18/Sep/21 Commented by liberty last updated on 18/Sep/21 $$ \\ $$$$\:{A}=\sqrt[{\mathrm{3}}]{−\mathrm{15}+\frac{\mathrm{28}\sqrt{\mathrm{3}}{i}}{\mathrm{9}}}+\sqrt[{\mathrm{3}}]{−\mathrm{15}−\frac{\mathrm{28}\sqrt{\mathrm{3}}{i}}{\mathrm{9}}} \\ $$$$ \\ $$ Commented by…