Question Number 91632 by mathmax by abdo last updated on 02/May/20 $${find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \:=\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}+…+\frac{\mathrm{1}}{\:\sqrt{{n}}} \\ $$ Commented by mathmax by abdo last updated on 02/May/20 $${we}\:{hsve}\:{U}_{{n}}…
Question Number 91631 by mathmax by abdo last updated on 02/May/20 $${find}\:{a}\:{equivalent}\:{of}\:\sum_{{k}=\mathrm{2}} ^{{n}} {ln}\left({k}\right) \\ $$ Commented by mathmax by abdo last updated on 02/May/20…
Question Number 91624 by john santu last updated on 02/May/20 Commented by john santu last updated on 02/May/20 $${what}\:{the}\:{answer}? \\ $$ Commented by arcana last…
Question Number 91578 by jagoll last updated on 01/May/20 $$ \\ $$$${f}\left(\frac{\mathrm{1}}{{x}}\right)+\mathrm{2}{f}\left({x}\right)=\:\frac{\mathrm{4}{x}^{\mathrm{3}} +\mathrm{6}{x}}{\mathrm{3}{x}^{\mathrm{2}} } \\ $$$${f}\left({x}\right)=? \\ $$ Commented by john santu last updated on…
Question Number 91521 by jagoll last updated on 01/May/20 $${given}\:{that}\:{the}\: \\ $$$${composite} \\ $$$${function}\:{f}^{\mathrm{2}} \left({x}\right)\:=\:\mathrm{64}{x}+\mathrm{45}\: \\ $$$${find}\:{f}\left({x}\right)\: \\ $$ Commented by jagoll last updated on…
Question Number 91268 by mathmax by abdo last updated on 29/Apr/20 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{1}\:\:\:\:\:−\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculste}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{determine}\:\:{e}^{{A}} \:\:{and}\:{e}^{−\mathrm{2}{A}} \\ $$$$\left.\mathrm{3}\right){find}\:{cos}\left({A}\right){and}\:{sinA}\:\:\:{is}\:{cos}^{\mathrm{2}} {A}\:+{sin}^{\mathrm{2}} {A}\:={I}? \\ $$$$\left.\mathrm{4}\right)\:{determine}\:{sh}\left({A}\right)\:{and}\:{ch}\left({A}\right)\:\:{is}\:{ch}^{\mathrm{2}} {A}−{sh}^{\mathrm{2}} {A}\:={I}\:\:?…
Question Number 156793 by alcohol last updated on 15/Oct/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{{sin}\mathrm{2}{x}}{\mathrm{2}−{sin}^{\mathrm{2}} \mathrm{2}{x}}{dx} \\ $$ Answered by FongXD last updated on 15/Oct/21 $$=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin2x}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}}…
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Question Number 91085 by jagoll last updated on 28/Apr/20 $${f}\left({x}\right)\:=\:\lceil\mathrm{2}{x}−\mathrm{1}\rceil\: \\ $$$${f}\left(\mathrm{3}\right)\:,\:{f}\left(\mathrm{4}\right)\:=\:? \\ $$ Commented by M±th+et+s last updated on 28/Apr/20 $${if}\:\left[…\right]\:{is}\:{ceil} \\ $$$${f}\left(\mathrm{3}\right)=\lceil\mathrm{6}−\mathrm{1}\rceil=\lceil\mathrm{5}\rceil=\mathrm{5} \\…
Question Number 90973 by abdomathmax last updated on 27/Apr/20 $${solve}\:{xy}^{'} \:+\left({x}+\mathrm{1}\right){y}\:={e}^{−{x}} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right) \\ $$ Commented by mathmax by abdo last updated on 27/Apr/20 $$\left({he}\right)\rightarrow{xy}^{'}…