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Category: Relation and Functions

1-1-E-x-1-x-dx-

Question Number 141413 by Willson last updated on 18/May/21 $$\underset{\:\mathrm{1}} {\int}^{\:+\infty} \left(\frac{\mathrm{1}}{\mathrm{E}\left(\mathrm{x}\right)}−\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx}=??? \\ $$ Answered by Mathspace last updated on 18/May/21 $$=\sum_{{n}=\mathrm{1}} ^{\infty\:} \int_{{n}} ^{{n}+\mathrm{1}}…

let-A-n-pi-n-1-1-pi-n-with-n-integr-natural-not0-1-find-A-n-n-2-calculate-lim-n-A-n-n-

Question Number 75736 by mathmax by abdo last updated on 16/Dec/19 $${let}\:{A}_{{n}} =\:\begin{pmatrix}{\frac{\pi}{{n}}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\:\frac{\pi}{{n}}}\end{pmatrix}\:\:\:\:{with}\:{n}\:{integr}\:{natural}\:{not}\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{A}_{{n}} ^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} ^{{n}} \\ $$ Terms of Service…

let-A-1-1-3-1-1-calculate-A-n-2-find-e-A-and-e-A-3-find-cosA-and-sinA-

Question Number 75735 by mathmax by abdo last updated on 16/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{cosA}\:{and}\:{sinA} \\ $$ Commented by abdomathmax last…

y-f-xy-f-x-x-y-R-If-f-4-1006-so-f-2012-

Question Number 10170 by Joel575 last updated on 28/Jan/17 $${y}\:.\:{f}\left({xy}\right)\:=\:{f}\left({x}\right)\:\:\:\:\:\:\:\:{x},\mathrm{y}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:{f}\left(\mathrm{4}\right)\:=\:\mathrm{1006},\:\mathrm{so}\:{f}\left(\mathrm{2012}\right)\:=\:? \\ $$ Answered by ridwan balatif last updated on 28/Jan/17 $$\mathrm{f}\left(\mathrm{xy}\right)=\frac{\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{y}},\:\:\:\:\mathrm{f}\left(\mathrm{4}\right)=\mathrm{1006} \\ $$$$\mathrm{if}\:\mathrm{x}=\mathrm{1}\:\mathrm{y}=\mathrm{4},\mathrm{then}…