Question Number 215390 by MathematicalUser2357 last updated on 05/Jan/25 $$\oint_{\gamma} {x}^{\mathrm{2}} {dx}\:\left[\gamma:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1}\right] \\ $$ Answered by MrGaster last updated on 05/Jan/25 $$\mathrm{solve}:\int_{\mathrm{0}} ^{\mathrm{2}\pi}…
Question Number 215400 by ajfour last updated on 05/Jan/25 Commented by ajfour last updated on 05/Jan/25 $${Correction}\:{I}\:{think}-\:\:{Find}\:{b},\:{given}\:{a}. \\ $$ Answered by mr W last updated…
Question Number 215393 by MrGaster last updated on 05/Jan/25 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{2}\nu} }{\left({x}^{\mathrm{2}} +\beta^{\mathrm{2}} \right)^{\mu+\mathrm{1}} }\mathrm{sin}\left({ax}\right){dx} \\ $$$$ \\ $$ Commented by JamesZhou…
Question Number 215410 by York12 last updated on 05/Jan/25 $$\mathrm{The}\:\mathrm{following}\:\mathrm{diagram}\:\mathrm{shows}\:\mathrm{the}\:\mathrm{relationship} \\ $$$$\mathrm{between}\:\mathrm{electromotive}\:\mathrm{force}\:\left(\mathrm{e}.\mathrm{m}.\mathrm{f}\right)\:\mathrm{and}\:\mathrm{the}\:\mathrm{time}\:\left(\mathrm{t}\right)\:\mathrm{in}\:\mathrm{a}\:\mathrm{dynamo} \\ $$$$\mathrm{coil}.\mathrm{During}\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{from}\:\mathrm{t}=\mathrm{0}\:\mathrm{to}\:\mathrm{t}=\frac{\mathrm{1}}{\mathrm{30}}\:\mathrm{seconds},\: \\ $$$$\mathrm{the}\:\mathrm{average}\:\mathrm{electromotive}\:\mathrm{force}\:\left(\mathrm{e}.\mathrm{m}.\mathrm{f}\right)\:\mathrm{induced}\:\mathrm{in}\:\mathrm{the}\:\mathrm{coil}\:\mathrm{is}: \\ $$$$\left(\mathrm{a}\right)\mathrm{42}.\mathrm{46}\:{V} \\ $$$$\left(\mathrm{b}\right)\mathrm{19}.\mathrm{11}\:{V} \\ $$$$\left(\mathrm{c}\right)\mathrm{127}.\mathrm{39}\:{V} \\ $$$$\left(\mathrm{d}\right)\mathrm{173}.\mathrm{21}\:{V} \\…
Question Number 215395 by mr W last updated on 05/Jan/25 Commented by mr W last updated on 06/Jan/25 $${a}\:{ball}\:{with}\:{mass}\:{m}\:{falls}\:{from}\:{the} \\ $$$${hight}\:{h}\:{and}\:{hits}\:{the}\:{end}\:{of}\:{the}\:{rod} \\ $$$${jutting}\:{out}\:{off}\:{the}\:{edge}\:{of}\:{a}\:{table}. \\ $$$${the}\:{length}\:{of}\:{the}\:{uniform}\:{rod}\:{with}\:…
Question Number 215356 by Abdullahrussell last updated on 04/Jan/25 $$\:{Solve}: \\ $$$$\:\:{x}^{\mathrm{2}} ={a}+\left({y}−{z}\right)^{\mathrm{2}} \\ $$$$\:\:{y}^{\mathrm{2}} ={b}+\left({z}−{x}\right)^{\mathrm{2}} \\ $$$$\:\:{z}^{\mathrm{2}} ={c}+\left({x}−{y}\right)^{\mathrm{2}} \\ $$ Answered by mr W…
Question Number 215386 by JasonHidd last updated on 04/Jan/25 Answered by mr W last updated on 04/Jan/25 $$\int_{\mathrm{0}} ^{{x}} {f}\left({x}\right){dx}=\underset{\mathrm{0}} {\int}^{−{x}} {f}\left({x}\right){dx}+\int_{−{x}} ^{{x}} {f}\left({x}\right){dx} \\…
Question Number 215372 by Tawa11 last updated on 04/Jan/25 Answered by TonyCWX08 last updated on 04/Jan/25 Commented by TonyCWX08 last updated on 04/Jan/25 $$\left(\alpha+\beta\right)+\left(\Omega+\gamma\right)=\left(\alpha+\Omega\right)+\left(\beta+\gamma\right) \\…
Question Number 215340 by ppch145 last updated on 03/Jan/25 Commented by ppch145 last updated on 04/Jan/25 $$ \\ $$$$\boldsymbol{\mathrm{Yes}}!\:\mathrm{Saving}\:\mathrm{and}\:\mathrm{exporting}\: \\ $$$$\mathrm{ordinary}\:\mathrm{equations}\:\mathrm{always}\: \\ $$$$\mathrm{get}\:\mathrm{done}\:\mathrm{successfully}.\:\mathrm{In}\:\mathrm{fact},\: \\ $$$$\mathrm{some}\:\mathrm{of}\:\mathrm{my}\:\mathrm{drawings}\:\mathrm{get}\:…
Question Number 215343 by RoseAli last updated on 03/Jan/25 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\mathrm{3}{x}\mathrm{cos5}{x}\:}{{x}^{\mathrm{2}} } \\ $$ Commented by Frix last updated on 04/Jan/25 $$\mathrm{Does}\:\mathrm{not}\:\mathrm{exist}. \\ $$ Answered…