Question Number 18498 by Tinkutara last updated on 22/Jul/17 $$\mathrm{How}\:\mathrm{many}\:\mathrm{times}\:\mathrm{is}\:\mathrm{digit}\:\mathrm{0}\:\mathrm{written}\:\mathrm{when} \\ $$$$\mathrm{listing}\:\mathrm{all}\:\mathrm{numbers}\:\mathrm{from}\:\mathrm{1}\:\mathrm{to}\:\mathrm{3333}? \\ $$ Commented by richard last updated on 23/Jul/17 $${do}\:{you}\:{want}\:{how}\:{many}\:{zeros}\:{there}\:{are}\:{between}\:\mathrm{1}\:{and}\:\mathrm{3333},\:{or}\:{how}\:{many}\:{times}\:{the}\:“\mathrm{0}''\:{appears},\:{independently}\:{of}\:{the}\:{amount}\:{of}\:{zeros}? \\ $$ Answered…
Question Number 84030 by mathmax by abdo last updated on 08/Mar/20 $${find}\:\int\:\sqrt{\frac{{x}+\mathrm{2}}{{x}^{\mathrm{2}} −{x}−\mathrm{3}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149567 by mathdanisur last updated on 06/Aug/21 $${if}\:\:\boldsymbol{{q}}\:\:{is}\:{prime}\:{number}\:{fixed},\:{then} \\ $$$${solve}\:{for}\:{natural}\:{numbers}\:{the}\:{equation}: \\ $$$$\frac{\mathrm{1}}{{q}}\:=\:\frac{\mathrm{1}}{{x}}\:+\:\frac{\mathrm{1}}{{y}}\:-\:\frac{\mathrm{1}}{{z}} \\ $$ Commented by Rasheed.Sindhi last updated on 07/Aug/21 $$\mathrm{My}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{too}\:\mathrm{lengthy}. \\…
Question Number 18493 by Tinkutara last updated on 22/Jul/17 $$\mathrm{Draw}\:\mathrm{the}\:\mathrm{free}\:\mathrm{body}\:\mathrm{diagram}\:\mathrm{of}\:\mathrm{following} \\ $$$$\mathrm{system}: \\ $$ Commented by Tinkutara last updated on 22/Jul/17 Answered by ajfour last…
Question Number 84029 by mathmax by abdo last updated on 08/Mar/20 $${let}\:{f}\left({x}\right)={e}^{−{nx}} {ln}\left(\mathrm{2}+{x}^{\mathrm{2}} \right)\:\:\:{with}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{calculste}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie} \\ $$$$\left.\mathrm{3}\right){find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{f}\left({x}\right){d}\:{and}\:\int_{\mathrm{0}} ^{\infty}…
Question Number 18492 by virus last updated on 22/Jul/17 Commented by mrW1 last updated on 23/Jul/17 $$\mathrm{the}\:\mathrm{force}\:\mathrm{in}\:\mathrm{k}\:\mathrm{above}\:\mathrm{block}\:\mathrm{A}\:\mathrm{is}\:\mathrm{3mg}. \\ $$$$\mathrm{when}\:\mathrm{the}\:\mathrm{spring}\:\mathrm{above}\:\mathrm{A}\:\mathrm{is}\:\mathrm{cut},\:\mathrm{this} \\ $$$$\mathrm{force}\:\mathrm{is}\:\mathrm{released},\:\mathrm{a}\:\mathrm{force}\:\mathrm{of}\:\mathrm{3mg}\:\mathrm{is} \\ $$$$\mathrm{acting}\:\mathrm{on}\:\mathrm{block}\:\mathrm{A},\:\mathrm{therefore}\:\mathrm{a}_{\mathrm{A}} =\mathrm{3g}. \\…
Question Number 18486 by Tinkutara last updated on 22/Jul/17 $$\mathrm{Why}\:\mathrm{ionic}\:\mathrm{radii}\:\mathrm{of}\:^{\mathrm{35}} \mathrm{Cl}\:<\:^{\mathrm{37}} \mathrm{Cl}^{−} ? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84021 by TANMAY PANACEA last updated on 08/Mar/20 Commented by abdomathmax last updated on 09/Mar/20 $${I}\:=\int_{\mathrm{0}} ^{\mathrm{2}} \:\frac{{ln}\left(\mathrm{1}+\mathrm{2}{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:\:{let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\mathrm{2}} \:\frac{{ln}\left({a}+\mathrm{2}{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\…
Question Number 84018 by Power last updated on 08/Mar/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84019 by mathocean1 last updated on 08/Mar/20 $${Show}\:{that}: \\ $$$$\mathrm{1}\bullet\:\:\:{tan}\mathrm{3}{x}=\frac{\mathrm{3}−{tan}^{\mathrm{2}} {x}}{\mathrm{1}−\mathrm{3}{tan}^{\mathrm{2}} {x}} \\ $$$${using}\:{cos}\mathrm{3}{x}=\mathrm{4}{cos}^{\mathrm{4}} {x}−\mathrm{3}{cosx} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{sin}\mathrm{3}{x}=−\mathrm{4}{sin}^{\mathrm{3}} {x}+\mathrm{3}{sinx} \\ $$$${Thanks}… \\ $$ Commented…