Question Number 7499 by Tawakalitu. last updated on 31/Aug/16 $${Let}\:{E}\:{be}\:{a}\:{banach}\:{space}\:,\:{Y}\:{is}\:{normed}\:{space}\:{and}\: \\ $$$${suppose}\:{that}\:\left\{{Ta}\::\:{a}\in{A}\right\}\:\subseteq\:\:{B}\:\left({E},\:{Y}\right)\:{If}\:\left\{{Tax}\::\:{a}\in{A}\right\} \\ $$$$\subseteq\:{Y}\:{is}\:{bounded}\:,\:{for}\:{all}\:{x}\in{E},\:{then}\:\left\{\parallel{Ta}\parallel\::\:{a}\in{A}\right\}\:{is}\: \\ $$$${bounded}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73035 by mathmax by abdo last updated on 05/Nov/19 $${prove}\:{that}\:\:\forall{n}\in{N}^{\bigstar} \:\:\:\:\:\mathrm{2}!\mathrm{4}!….\left(\mathrm{2}{n}\right)!\geqslant\left\{\left({n}+\mathrm{1}\right)!\right\}^{{n}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138571 by bemath last updated on 15/Apr/21 $$\begin{cases}{{u}_{\mathrm{1}} =\mathrm{1}}\\{{u}_{{n}+\mathrm{1}} =\:\frac{{n}^{\mathrm{2}} −{n}+\mathrm{1}}{{n}^{\mathrm{2}} }}\end{cases}\:;\:\forall{n}\in\mathbb{R} \\ $$$$\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{u}_{{n}} \:=? \\ $$ Answered by mathmax by abdo…
Question Number 73032 by mathmax by abdo last updated on 05/Nov/19 $${find}\:{x}\:{from}\:{n}\:\:/\:\exists{n}\in{N}^{{n}} \:\:\:\:{and}\:\mathrm{1}+{x}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{3}} \:+{x}^{\mathrm{4}} ={n}^{\mathrm{2}} \\ $$ Answered by mind is power last updated…
Question Number 138570 by bemath last updated on 15/Apr/21 $$\underset{\:\sqrt{\mathrm{2}}} {\overset{\mathrm{2}} {\int}}\:\frac{{dx}}{{x}^{\mathrm{2}} \:\sqrt{\left({x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{3}} }}\:=?\: \\ $$ Answered by Ar Brandon last updated on 15/Apr/21…
Question Number 73033 by mathmax by abdo last updated on 05/Nov/19 $${solve}\:{inside}\:{N}^{\mathrm{2}} \:\:\:\:{x}\left({x}+\mathrm{1}\right)=\mathrm{4}{y}\left({y}+\mathrm{1}\right) \\ $$ Answered by mind is power last updated on 05/Nov/19 $$\Leftrightarrow\mathrm{4x}\left(\mathrm{x}+\mathrm{1}\right)=\mathrm{16y}\left(\mathrm{y}+\mathrm{1}\right)…
Question Number 73030 by Tanmay chaudhury last updated on 05/Nov/19 Answered by Tanmay chaudhury last updated on 05/Nov/19 $$\int_{\mathrm{0}} ^{\mathrm{4}} \frac{{ln}\mathrm{2}}{{lnx}}−\frac{{ln}\mathrm{2}×{ln}\mathrm{2}}{{lnx}×{lnx}×{ln}\mathrm{2}}{dx} \\ $$$${ln}\mathrm{2}\int_{\mathrm{2}} ^{\mathrm{4}} \frac{\mathrm{1}}{{lnx}}−\frac{\mathrm{1}}{\left({lnx}\right)^{\mathrm{2}}…
Question Number 138564 by DomaPeti last updated on 14/Apr/21 $${y}\centerdot{y}'=\mathrm{0}.\mathrm{5}\centerdot\left(\mathrm{1}+{y}\centerdot{c}_{\mathrm{1}} \right)^{\mathrm{2}} \centerdot{c}_{\mathrm{2}} +\mathrm{0}.\mathrm{5} \\ $$$$ \\ $$$${y}=? \\ $$ Answered by mr W last updated…
Question Number 73031 by mathmax by abdo last updated on 05/Nov/19 $${solve}\:{inside}\:{N}^{\mathrm{2}} \:\:\:\mathrm{3}{x}^{\mathrm{3}} \:+{xy}\:+\mathrm{4}{y}^{\mathrm{3}} \:=\mathrm{349} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73028 by mathmax by abdo last updated on 05/Nov/19 $${calculate}\:\sum_{\mathrm{1}\leqslant{i}\leqslant{n}\:{and}\:\mathrm{1}\leqslant{j}\leqslant{n}} \:\:{min}\left({i},{j}\right) \\ $$ Answered by mind is power last updated on 05/Nov/19 $$=\underset{\mathrm{i}=\mathrm{1}}…