Question Number 88623 by ajfour last updated on 11/Apr/20 Commented by ajfour last updated on 11/Apr/20 $${If}\:{the}\:{solid}\:{cylinder}\:{has}\:{to}\:{roll} \\ $$$${on}\:{to}\:{the}\:{inclined}\:{plane}\:{without} \\ $$$${a}\:{jump},\:{find}\:{u}_{{max}} . \\ $$ Commented…
Question Number 88616 by TawaTawa1 last updated on 11/Apr/20 Commented by jagoll last updated on 28/Apr/20 $$\mathrm{1}.{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{0}\:=\:\mathrm{0} \\ $$$${a}\:=\:\mathrm{1}\:,\:{b}\:=\:−\mathrm{4}\:,\:{c}\:=\:\mathrm{0} \\ $$ Commented by ajfour…
Question Number 154148 by mathdanisur last updated on 14/Sep/21 $$\boldsymbol{{z}}^{\mathrm{4}} \:-\:\frac{\mathrm{50}}{\mathrm{2}\boldsymbol{{z}}^{\mathrm{4}} \:-\:\mathrm{7}}\:=\:\mathrm{14}\:\:\:\Rightarrow\:\:\:\boldsymbol{{z}}\:=\:? \\ $$ Answered by puissant last updated on 14/Sep/21 $$\Rightarrow\:\mathrm{2}{z}^{\mathrm{8}} −\mathrm{7}{z}^{\mathrm{4}} −\mathrm{50}=\mathrm{28}{z}^{\mathrm{4}} −\mathrm{98}…
Question Number 88613 by ajfour last updated on 11/Apr/20 Commented by ajfour last updated on 11/Apr/20 $${Find}\:{a}/{b}\:. \\ $$ Commented by ajfour last updated on…
Question Number 88610 by M±th+et£s last updated on 11/Apr/20 $${is}\:\mathrm{1}×\mathrm{1}×\mathrm{1}×……….=\mathrm{1}^{\infty} \: \\ $$$${or} \\ $$$$\:\mathrm{1}×\mathrm{1}×\mathrm{1}×\mathrm{1}×\mathrm{1}×……….=\mathrm{1} \\ $$$$ \\ $$$$ \\ $$ Commented by mahdi last…
Question Number 88611 by M±th+et£s last updated on 11/Apr/20 $${prove}\:{that} \\ $$$$\frac{\mathrm{1}+{p}^{\mathrm{2}} +{p}^{\mathrm{4}} +……+{p}^{\mathrm{2}{n}} }{{p}+{p}^{\mathrm{3}} +{p}^{\mathrm{5}} +…..{p}^{\mathrm{2}{n}−\mathrm{1}} }>\frac{{n}+\mathrm{1}}{{np}} \\ $$ Terms of Service Privacy Policy…
Question Number 23073 by ajfour last updated on 25/Oct/17 Commented by ajfour last updated on 25/Oct/17 $${Q}.\mathrm{23059}\:\left({solution}\right) \\ $$ Answered by ajfour last updated on…
Question Number 88606 by TawaTawa1 last updated on 11/Apr/20 Commented by jagoll last updated on 12/Apr/20 $$\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{line}\: \\ $$$$\mathrm{y}\:=\:\mathrm{mx}\:\Rightarrow\mathrm{4t}−\mathrm{t}^{\mathrm{2}} \:=\:\mathrm{m}.\mathrm{t}\: \\ $$$$\mathrm{m}\:=\:\mathrm{4}−\mathrm{t}\:\Rightarrow\mathrm{y}\:=\:\left(\mathrm{4}−\mathrm{t}\right)\mathrm{x} \\ $$$$\mathrm{line}\:\mathrm{and}\:\mathrm{parabolic}\:\mathrm{intersect} \\…
Question Number 88607 by M±th+et£s last updated on 11/Apr/20 $${chose}\:{the}\:{right}\:{option} \\ $$$$\left.\mathrm{1}\right)\:{if}\:{x},{y}\:\in{Q}^{{c}} \:{and}\:{x}<{y}\:\:{then}\:\exists{a}\in{Q} \\ $$$${such}\:{that}\:{x}<{a}<{y}\:{in}\:{case}\:{we}\:{say}\:{that} \\ $$$$\left.{a}\right){Q}^{{c}} \:{is}\:{an}\:{ordered}\:{field} \\ $$$$\left.{b}\right){Q}\:{dense}\:{inQ}^{{c}} \\ $$$$\left.{c}\right){not}\:{ordered}\:{field} \\ $$$$ \\…
Question Number 154143 by mnjuly1970 last updated on 14/Sep/21 Answered by phanphuoc last updated on 14/Sep/21 $${u}=−{lnx}\rightarrow{e}^{−{u}} ={x}\rightarrow−{e}^{−{u}} {du}={dx} \\ $$$$\Omega=\int_{\infty} ^{\mathrm{0}} \frac{{e}^{−{x}} {sinx}}{\mathrm{1}+{e}^{−\mathrm{2}{x}} }\left(−{e}^{−{x}}…