Question Number 193116 by Mastermind last updated on 04/Jun/23 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{for}\:\mathrm{all}\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\:\in\:\mathbb{R}\:\mathrm{with} \\ $$$$\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\:\geqslant\:\mathrm{0}\: \\ $$$$\left.\mathrm{1}\right)\:\sqrt{\mathrm{ab}}\sqrt{\mathrm{cd}}\:\leqslant\:\frac{\mathrm{1}}{\mathrm{4}}\left(\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} +\mathrm{d}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{2}\right)\:\left(\mathrm{abcd}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} \:\leqslant\:\frac{\mathrm{1}}{\mathrm{4}}\left(\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\right) \\ $$$$ \\ $$$$\mathrm{Help}!…
Question Number 193109 by Mastermind last updated on 04/Jun/23 Answered by math1234 last updated on 04/Jun/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 193154 by wizzy1 last updated on 04/Jun/23 Commented bywizzy1 last updated on 04/Jun/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130992 by benjo_mathlover last updated on 31/Jan/21 $$\mathrm{If}\:\mathrm{I}\:=\:\frac{\mathrm{V}}{\mathrm{R}}\:\mathrm{and}\:\mathrm{V}=\mathrm{250}\:\mathrm{volts}\:\mathrm{and}\:\mathrm{R}=\mathrm{50}\:\mathrm{ohms} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{change}\:\mathrm{in}\:\mathrm{I}\:\mathrm{resulting}\:\mathrm{from}\:\mathrm{an}\: \\ $$$$\mathrm{increase}\:\mathrm{of}\:\mathrm{1}\:\mathrm{volt}\:\mathrm{in}\:\mathrm{V}\:\mathrm{and}\:\mathrm{increase}\:\mathrm{of}\:\mathrm{0}.\mathrm{5}\:\mathrm{ohm} \\ $$$$\mathrm{in}\:\mathrm{R}. \\ $$ Answered by EDWIN88 last updated on 31/Jan/21…
Question Number 130978 by I want to learn more last updated on 31/Jan/21 Commented by I want to learn more last updated on 31/Jan/21 $$\mathrm{The}\:\mathrm{question}\:\mathrm{start}\:\mathrm{this}\:\mathrm{way}:…
Question Number 65407 by aliesam last updated on 29/Jul/19 Commented by aliesam last updated on 29/Jul/19 $${find}\:{the}\:{function}\:{G} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 130925 by Chhing last updated on 30/Jan/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Problem} \\ $$$$\:\:\:\mathrm{Without}\:\:\mathrm{L}'\mathrm{Hopital} \\ $$$$\:\:\:\mathrm{calculate} \\ $$$$\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{tan}^{\mathrm{2}} \left(\mathrm{x}\right)−\mathrm{x}^{\mathrm{2}} \mathrm{cos}\left(\mathrm{2x}\right)}{\mathrm{x}^{\mathrm{2}} −\mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)} \\ $$…
Question Number 130912 by Dwaipayan Shikari last updated on 30/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{sech}\left({n}\pi\right)}{{n}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130849 by TITA last updated on 29/Jan/21 Commented by Ñï= last updated on 29/Jan/21 Answered by EDWIN88 last updated on 30/Jan/21 $$−\mathrm{2}{y}=−\mathrm{2}{a}\mathrm{cos}\:\mathrm{2}{x}−\mathrm{2}{b}\mathrm{sin}\:\mathrm{2}{x} \\…
Question Number 65239 by Tawa1 last updated on 26/Jul/19 Commented by mr W last updated on 26/Jul/19 $$\mathrm{9}\left({D}−\mathrm{9}\right)=\mathrm{15}^{\mathrm{2}} \\ $$$${D}=\frac{\mathrm{15}^{\mathrm{2}} }{\mathrm{9}}+\mathrm{9}=\mathrm{34} \\ $$ Commented by…