Question Number 29778 by puneet1789 last updated on 12/Feb/18 Answered by Giannibo last updated on 12/Feb/18 $$ \\ $$$$ \\ $$$$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}'\left(\mathrm{x}\right)\leqslant\mathrm{1} \\ $$$$\mathrm{e}^{\mathrm{x}} \mathrm{f}\left(\mathrm{x}\right)+\mathrm{e}^{\mathrm{x}} \mathrm{f}'\left(\mathrm{x}\right)\leqslant\mathrm{e}^{\mathrm{x}}…
Question Number 160837 by mnjuly1970 last updated on 07/Dec/21 Commented by cortano last updated on 07/Dec/21 $$\Leftrightarrow\:\mathrm{x}^{\mathrm{2}} +\mathrm{x}^{\mathrm{4}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{1}=\mathrm{x}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{1}\right) \\ $$$$\Leftrightarrow\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{1}\:=\:\mathrm{x}^{\mathrm{3}}…
Question Number 29752 by Victor31926 last updated on 11/Feb/18 $$\mathrm{pls}\:\mathrm{elp}\:\mathrm{with}\:\mathrm{dis}… \\ $$$$ \\ $$$$\int\frac{\left(\mathrm{1}−\mathrm{x}\right)\boldsymbol{{dx}}}{\left(\mathrm{1}+\mathrm{x}\right)\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} +\mathrm{x}^{\mathrm{3}} }} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 160822 by sdfg last updated on 07/Dec/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 160752 by Eric002 last updated on 05/Dec/21 $${solve} \\ $$$$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }−{y}={x}^{\mathrm{2}} {sin}\mathrm{3}{x} \\ $$ Answered by qaz last updated on 06/Dec/21 $$\mathrm{y}''−\mathrm{y}=\mathrm{x}^{\mathrm{2}}…
Question Number 29592 by zekeriyaozkan last updated on 10/Feb/18 $${y}'={xy}^{\mathrm{2}} +\mathrm{2}{y}+\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 160603 by cortano last updated on 03/Dec/21 $$\:\left(\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\right)\left(\mathrm{y}+\sqrt{\mathrm{y}^{\mathrm{2}} +\mathrm{1}}\right)=\mathrm{2021} \\ $$$$\:\forall\mathrm{x},\mathrm{y}\in\mathbb{R}^{+} \:.\:\mathrm{min}\:\left(\mathrm{x}+\mathrm{y}\right)=? \\ $$ Answered by MJS_new last updated on 03/Dec/21 $$\mathrm{of}\:\mathrm{all}\:\mathrm{rectangles}\:\mathrm{with}\:\mathrm{sides}\:{a},\:{b}\:\mathrm{and}\:\mathrm{given}…
Question Number 160577 by mnjuly1970 last updated on 02/Dec/21 $$ \\ $$$$\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\mathrm{1}} {tan}^{\:−\mathrm{1}} \:\left({x}\right).{ln}\left({x}\right)\:=\:? \\ $$$$\:\:\:\:\:−−−−{solution}−−−− \\ $$$$\:\:\:{f}\left({a}\right)=\int_{\mathrm{0}} ^{\:\mathrm{1}} {tan}^{\:−\mathrm{1}} \left(\:{x}\right)\:.{x}^{\:{a}} {dx} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\:\underset{{n}=\mathrm{1}}…
Question Number 29490 by Victor31926 last updated on 09/Feb/18 $$\mathrm{A}\:\mathrm{gas}\:\mathrm{expands}\:\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{law}\:\mathrm{PV}=\mathrm{K}\:\left(\mathrm{constant}\right). \\ $$$$\mathrm{Initialy},\:\boldsymbol{\mathrm{v}}=\mathrm{1000cubic}\:\mathrm{metres}\:\mathrm{and}\:\boldsymbol{\mathrm{p}}=\mathrm{40N}/\mathrm{m}^{\mathrm{2}} . \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{pressure}\:\mathrm{is}\:\mathrm{decreased}\:\mathrm{at}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{5N}/\mathrm{m}^{\mathrm{2}} /\mathrm{min}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{at}\:\mathrm{which} \\ $$$$\mathrm{the}\:\mathrm{gas}\:\mathrm{is}\:\mathrm{expanding}\:\mathrm{when}\:\mathrm{its}\:\mathrm{volume}\:\mathrm{is}\:\mathrm{2000cubic}\:\mathrm{metres}. \\ $$$$ \\ $$ Answered by Rasheed.Sindhi…
Question Number 160558 by mnjuly1970 last updated on 01/Dec/21 $$ \\ $$$$\:\:\:\:{solve} \\ $$$$ \\ $$$$\lfloor\:{x}−\:\sqrt{\mathrm{1}−{x}^{\:\mathrm{2}} }\:\rfloor+\lfloor\:{x}+\:\sqrt{\mathrm{1}−{x}^{\:\mathrm{2}} }\:\rfloor=\mathrm{0} \\ $$$$ \\ $$ Answered by mr…