Question Number 71946 by oyemi kemewari last updated on 22/Oct/19 Answered by MJS last updated on 23/Oct/19 $$\mathrm{12}=\mathrm{3}{y}\left(\frac{\mathrm{3}{y}}{\mathrm{3}+\mathrm{3}{y}}\right)^{\mathrm{2}/\mathrm{3}} \left(\frac{\mathrm{1}}{\mathrm{400}}\right)^{\mathrm{1}/\mathrm{2}} \\ $$$$\mathrm{80}={y}\left(\frac{{y}}{{y}+\mathrm{1}}\right)^{\mathrm{2}/\mathrm{3}} \\ $$$$\mathrm{512000}={y}^{\mathrm{3}} \frac{{y}^{\mathrm{2}} }{\left({y}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 71944 by aliesam last updated on 22/Oct/19 Answered by mind is power last updated on 23/Oct/19 $$\mathrm{a}=\left\{\left(−\mathrm{1}\right)^{\mathrm{k}} \left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{k}}\right);\mathrm{k}\in\mathrm{Z}\right\} \\ $$$$\mathrm{let}\:\mathrm{a}_{\mathrm{n}} \in\mathrm{a} \\ $$$$\mathrm{a}_{\mathrm{2n}}…
Question Number 137482 by Algoritm last updated on 03/Apr/21 Answered by MJS_new last updated on 03/Apr/21 $$\mathrm{0} \\ $$ Commented by Algoritm last updated on…
Question Number 137477 by Sandeep11 last updated on 03/Apr/21 Commented by MJS_new last updated on 03/Apr/21 $$\mathrm{well}\:\mathrm{just}\:\mathrm{derivate}\:\mathrm{the}\:\mathrm{answers}\:\mathrm{and}\:\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{right}\:\mathrm{one}?! \\ $$ Answered by soumyasaha last…
Question Number 6407 by FilupSmith last updated on 26/Jun/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{evaluate}: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(−\mathrm{1}\right)^{{x}} {x} \\ $$$$ \\ $$$$\mathrm{WolframAlpha}\:\mathrm{writes}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{as} \\ $$$$={e}^{\mathrm{2}{i}\:\:\mathrm{to}\:\:\pi} \infty \\ $$ Commented by…
Question Number 137476 by peter frank last updated on 03/Apr/21 Commented by MJS_new last updated on 03/Apr/21 $$\mathrm{but}\:\mathrm{this}\:\mathrm{is}\:\mathrm{not}\:\mathrm{mathematics}.\:\mathrm{I}\:\mathrm{can}\:\mathrm{easily}\:\mathrm{get} \\ $$$$\mathrm{the}\:\mathrm{answer}\:\frac{\mathrm{1804192}}{\mathrm{42413}}\:\mathrm{or}\:\mathrm{any}\:\mathrm{other}\:\mathrm{number}\:\mathrm{you} \\ $$$$\mathrm{prefer} \\ $$ Commented…
Question Number 6405 by FilupSmith last updated on 26/Jun/16 $$\mathrm{How}\:\mathrm{would}\:\mathrm{you}\:\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{of}: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{x}^{\mathrm{3}} −\left({x}−\mathrm{1}\right)^{\mathrm{3}} \\ $$ Commented by FilupSmith last updated on 26/Jun/16 $$\mathrm{Do}\:\mathrm{you}\:\mathrm{have}\:\mathrm{to}\:\mathrm{expand}\:\mathrm{and}\:\mathrm{simplify}? \\…
Question Number 137473 by mr W last updated on 03/Apr/21 $${what}\:{is}\:{larger}?\:\mathrm{99}^{\mathrm{100}} \:{or}\:\mathrm{100}^{\mathrm{99}} ? \\ $$ Answered by MJS_new last updated on 03/Apr/21 $${n}^{{n}+\mathrm{1}} >\left({n}+\mathrm{1}\right)^{{n}} \:\forall\:{n}\geqslant\mathrm{3}…
Question Number 137472 by mr W last updated on 03/Apr/21 $${solve} \\ $$$${x}^{\mathrm{3}} −\mathrm{2}\left[{x}\right]=\mathrm{5} \\ $$ Answered by MJS_new last updated on 03/Apr/21 $$\left(\mathrm{1}\right)\:\:\mathrm{1}<{x}<\mathrm{2} \\…
Question Number 71939 by ajfour last updated on 22/Oct/19 Commented by ajfour last updated on 22/Oct/19 $${Find}\:{v}\:{and}\:{V}\:{in}\:{terms}\:{of}\:{given} \\ $$$${parameters}.\:{coefficient}\:{of} \\ $$$${restitution}\:{is}\:{e}\:{and}\:{the}\:{plane}\:{is} \\ $$$${frictionless}\:{horizontal}\:{ground}. \\ $$…