Question Number 130350 by ajfour last updated on 24/Jan/21 Commented by ajfour last updated on 24/Jan/21 $${A}\:{hollow}\:{cylinder}\:\left({radius}\:{R},\right. \\ $$$$\left.{mass}\:{M}\right)\:{rolling}\:{down}\:{a}\:{long} \\ $$$${incline},\:{has}\:{a}\:{small}\:{ball}\:{at} \\ $$$${an}\:{angular}\:{position}\:\boldsymbol{\phi}. \\ $$$${Determine}\:\boldsymbol{\phi}\:{in}\:{terms}\:{of}…
Question Number 64812 by Rio Michael last updated on 21/Jul/19 $${how}\:{do}\:{i}\:{prove}\:{by}\:{induction}? \\ $$$${please} \\ $$ Commented by MJS last updated on 21/Jul/19 $$\mathrm{show}\:\mathrm{that}\:\mathrm{it}'\mathrm{s}\:\mathrm{true}\:\mathrm{for}\:{n}_{\mathrm{0}} \in\mathbb{N} \\…
Question Number 64805 by mmkkmm000m last updated on 21/Jul/19 $$\int{log}\frac{\left(\mathrm{1}+{sinhx}\right)}{\left(\mathrm{1}−{sinhx}\right)}{tanhx}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64804 by mmkkmm000m last updated on 21/Jul/19 $$\overset{+\infty} {\int}_{\mathrm{0}} {e}^{−{x}^{\mathrm{2}} } {dx} \\ $$ Answered by Tanmay chaudhury last updated on 21/Jul/19 $${x}={t}^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 130339 by mnjuly1970 last updated on 24/Jan/21 Answered by MJS_new last updated on 25/Jan/21 $${A}=\begin{pmatrix}{\mathrm{0}}\\{{a}}\end{pmatrix}\:\:{B}=\begin{pmatrix}{\mathrm{0}}\\{\mathrm{0}}\end{pmatrix}\:\:{C}=\begin{pmatrix}{{c}}\\{\mathrm{0}}\end{pmatrix} \\ $$$${AC}:\:{y}=−\frac{{a}}{{c}}{x}+{a} \\ $$$$\mathrm{0}\leqslant{d}\in\mathbb{R} \\ $$$${BD}:\:{y}={dx} \\ $$$${D}=\begin{pmatrix}{\frac{{ac}}{{a}+{cd}}}\\{\frac{{acd}}{{a}+{cd}}}\end{pmatrix}…
Question Number 64802 by mmkkmm000m last updated on 21/Jul/19 $$\int\left({cos}^{\mathrm{4}} {x}+{sin}^{\mathrm{4}} {x}\right)/\left({cos}\mathrm{2}{x}+\mathrm{1}\right){dx} \\ $$ Commented by mathmax by abdo last updated on 22/Jul/19 $${let}\:{I}\:=\int\:\:\frac{{cos}^{\mathrm{4}} {x}+{sin}^{\mathrm{4}}…
Question Number 64801 by mmkkmm000m last updated on 21/Jul/19 $$\int\left({cos}^{\mathrm{4}} {x}+{sin}^{\mathrm{4}} {x}\right)/\left({cos}\mathrm{2}{x}+\mathrm{1}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130337 by EDWIN88 last updated on 24/Jan/21 $$\:\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{3}\right)^{\mathrm{x}^{\mathrm{2}} −\mathrm{6x}+\mathrm{4}} \:\leqslant\:\mathrm{1}\: \\ $$ Answered by mathmax by abdo last updated on 24/Jan/21 $$\mathrm{e}\Rightarrow\mathrm{e}^{\left(\mathrm{x}^{\mathrm{2}}…
Question Number 130334 by pete last updated on 24/Jan/21 $$\mathrm{Complete}\:\mathrm{the}\:\mathrm{square}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expression} \\ $$$$\mathrm{y}^{\mathrm{2}} \:+\mathrm{8y}+\mathrm{9k}\:\mathrm{and}\:\mathrm{hence}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{k}\:\mathrm{that}\:\mathrm{makes}\:\mathrm{it}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square}. \\ $$ Answered by TheSupreme last updated on 24/Jan/21 $$\left({y}+{a}\right)={y}^{\mathrm{2}}…
Question Number 64797 by MJS last updated on 21/Jul/19 $$\mathrm{for}\:\mathrm{Tawa},\:\mathrm{an}\:\mathrm{old}\:\mathrm{problem}\:\mathrm{explained} \\ $$$$\left(\mathrm{1}\right)\:\:{x}+{y}+{z}=\alpha \\ $$$$\left(\mathrm{2}\right)\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\beta \\ $$$$\left(\mathrm{3}\right)\:\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\gamma \\ $$$$\alpha,\:\beta,\:\gamma\:\mathrm{are}\:\mathrm{given} \\…