Question Number 92767 by mathmax by abdo last updated on 09/May/20 $${let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:{e}^{−{nx}} {cosx}\:{dx} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{lim}_{{n}\rightarrow+\infty} {n}^{\mathrm{2}} \:{U}_{{n}} \\ $$$$\left.\mathrm{2}\right){calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:{U}_{{n}} \\…
Question Number 92769 by mathmax by abdo last updated on 09/May/20 $${calculate}\:\sum_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:{C}_{{n}} ^{{k}} \:{cos}^{\mathrm{2}} \left(\frac{{k}\pi}{{n}}\right)\:\:\:\:\:\left({n}\geqslant\mathrm{2}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 92763 by msup by abdo last updated on 09/May/20 $${study}\:{the}\:{sequence}\:{u}_{{n}+\mathrm{1}} =\sqrt{{u}_{{n}} ^{\mathrm{2}} +\frac{\mathrm{1}}{{n}}} \\ $$$${and}\:{u}_{\mathrm{1}} =\mathrm{1} \\ $$ Commented by i jagooll last…
Question Number 27144 by NECx last updated on 02/Jan/18 $${Let}\:{A}=\left\{{x},{y},{z}\right\}\:{and}\:{B}=\left\{\mathrm{1},\mathrm{2}\right\}.\:{Find} \\ $$$${the}\:{number}\:{of}\:{relations}\:{from}\:{A}\:{to} \\ $$$${B}. \\ $$ Commented by NECx last updated on 02/Jan/18 $${I}\:{dont}\:{understand}\:{you}\:{sir} \\…
Question Number 158166 by cortano last updated on 31/Oct/21 $$\:{If}\:{f}\left(\frac{{x}}{\mathrm{3}}\right)=\frac{{f}\left({x}\right)}{\mathrm{2}}\:{and}\:{f}\left(\mathrm{1}−{x}\right)=\mathrm{1}−{f}\left({x}\right). \\ $$$${find}\:{f}\left(\frac{\mathrm{173}}{\mathrm{1993}}\right). \\ $$ Commented by SLVR last updated on 05/Nov/21 $${sir}\:\:{can}\:{you}\:{provide}\:{the}\:{answer} \\ $$ Terms…
Question Number 27081 by abdo imad last updated on 01/Jan/18 $${let}\:{give}\:{f}\left({x}\right)=\:\:\frac{{x}}{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{1}}\:\:{find}\:{f}^{\left({n}\right)} \left({x}\right)\:\:. \\ $$ Answered by prakash jain last updated on 01/Jan/18 $${f}\left({x}\right)\frac{{x}}{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{1}}=\frac{\mathrm{1}}{\mathrm{4}}\left(\frac{\mathrm{1}}{\mathrm{2}{x}−\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{1}}\right)…
Question Number 92597 by john santu last updated on 08/May/20 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{x}−\mathrm{1}}\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\sqrt{\mathrm{x}}\: \\ $$$$\mathrm{find}\:\mathrm{domain}\:\mathrm{and}\:\mathrm{range}\:\mathrm{of}\: \\ $$$$\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\:. \\ $$ Commented by jagoll last updated on 08/May/20 $$\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\:=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}−\mathrm{1}}}\:…
Question Number 27050 by Joel578 last updated on 01/Jan/18 Commented by Joel578 last updated on 01/Jan/18 $$\left({a}\:+\:{c}\right)^{\mathrm{2}} \:−\:\left({b}\:+\:{d}\right)^{\mathrm{2}} \:=\:{a}^{\mathrm{2}} \:+\:{c}^{\mathrm{2}} \:+\:\mathrm{2}{ac}\:−\:{b}^{\mathrm{2}} \:−\:{d}^{\mathrm{2}} \:−\:\mathrm{2}{bd} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left({a}^{\mathrm{2}}…
Question Number 92424 by Jidda28 last updated on 06/May/20 $$\mathrm{If}\:\mathrm{2x}−\mathrm{0i}=\varrho^{\pi\mathrm{i}} \: \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$ Commented by mathmax by abdo last updated on 06/May/20 $$\mathrm{2}{x}−{oi}\:={e}^{\pi{i}}…
Question Number 92301 by jagoll last updated on 06/May/20 $$\mathrm{given}\:\mathrm{eq}\:\mathrm{of}\:\mathrm{line}\: \\ $$$$\left(\mathrm{1}\right)\:\left[\:\mathrm{x},\mathrm{y}\:\right]\:=\:\left[\mathrm{3},−\mathrm{2}\right]\:+\:\mathrm{t}\:\left[\mathrm{4},−\mathrm{5}\right]\: \\ $$$$\left(\mathrm{2}\right)\:\left[\mathrm{x},\mathrm{y}\right]\:=\:\left[\mathrm{1},\mathrm{1}\right]\:+\:\mathrm{s}\:\left[\:\mathrm{7},\mathrm{k}\:\right]\: \\ $$$$\mathrm{find}\:\mathrm{t}\:\mathrm{and}\:\mathrm{s}\:\mathrm{if}\:\left(\mathrm{1}\right)\:\parallel\:\left(\mathrm{2}\right) \\ $$$$\mathrm{if}\:\left(\mathrm{1}\right)\:\bot\:\left(\mathrm{2}\right) \\ $$ Commented by jagoll last updated…