Question Number 92422 by mhmd last updated on 06/May/20 $${solve}\:\left({y}^{\mathrm{2}} +{yz}\right){dx}+\left({z}^{\mathrm{2}} +{xy}\right){dy}+\left({y}^{\mathrm{2}} −{xy}\right){dz}=\mathrm{0} \\ $$$$ \\ $$$${help}\:{me}\:{sir} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 157952 by cortano last updated on 30/Oct/21 $$\:{f}\left({x}\right)={x}^{\mathrm{2014}} +\mathrm{2}{x}^{\mathrm{2013}} +\mathrm{3}{x}^{\mathrm{2012}} +\mathrm{4}{x}^{\mathrm{2011}} +…+\mathrm{2014}{x}+\mathrm{2015} \\ $$$$\:{min}\:{f}\left({x}\right)=? \\ $$ Answered by aleks041103 last updated on 31/Oct/21…
Question Number 157947 by cortano last updated on 30/Oct/21 $${What}\:{are}\:{the}\:{coordinates}\:{of}\:{the} \\ $$$${points}\:{on}\:{the}\:{curve}\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{16} \\ $$$${which}\:{nearest}\:{to}\:\left(\mathrm{0},\mathrm{6}\right)? \\ $$ Answered by mr W last updated on…
Question Number 26774 by NECx last updated on 29/Dec/17 $${If}\:{one}\:{side}\:{of}\:{a}\:{square}\:{reduces}\:{by} \\ $$$$\mathrm{10\%}\:{and}\:{the}\:{adjacent}\:{side}\:{increases} \\ $$$${by}\:\mathrm{30\%}.{Using}\:{the}\:{application}\:{of} \\ $$$${differentiationfind}\:{the}\:\%\:{change} \\ $$$${in}\:{the}\:{area}\:{of}\:{the}\:{square}. \\ $$ Commented by NECx last updated…
Question Number 92277 by M±th+et+s last updated on 05/May/20 $${find}\:{a},{b},{c},{d}\:\: \\ $$$${if}\:\:\:\:{f}\left({x}\right)={ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d} \\ $$$$\left(\mathrm{3},\mathrm{3}\right){is}\:{maximum}\:{value} \\ $$$$\left(\mathrm{5},\mathrm{1}\right)\:{is}\:{minimum}\:{value} \\ $$$$\left(\mathrm{4},\mathrm{2}\right)\:{is}\:{inflection}\:{point} \\ $$ Commented by M±th+et+s…
Question Number 92182 by mhmd last updated on 05/May/20 Commented by mr W last updated on 05/May/20 $${why}\:{repeat}\:{Q}\mathrm{92114}? \\ $$ Commented by mhmd last updated…
Question Number 157665 by mnjuly1970 last updated on 26/Oct/21 Answered by Raxreedoroid last updated on 26/Oct/21 $${I}=\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}^{{n}−\mathrm{1}} \mathrm{ln}\:\left(\mathrm{1}−{x}\right) \\ $$$${dw}={x}^{{n}−\mathrm{1}} ,{w}=\frac{{x}^{{n}} }{{n}} \\…
Question Number 92114 by mhmd last updated on 04/May/20 Answered by mr W last updated on 05/May/20 $${u}={y}' \\ $$$${u}\frac{{du}}{{dy}}+\mathrm{3}{y}^{\mathrm{2}} {u}=\mathrm{0} \\ $$$$\Rightarrow{u}=\mathrm{0}\:\Rightarrow\frac{{dy}}{{dx}}=\mathrm{0}\:\Rightarrow{y}={C} \\ $$$$\Rightarrow\frac{{du}}{{dy}}+\mathrm{3}{y}^{\mathrm{2}}…
Question Number 92115 by mhmd last updated on 04/May/20 Answered by mr W last updated on 05/May/20 $${u}=\frac{{dy}}{{dx}} \\ $$$$\frac{{du}}{{dx}}+\mathrm{2}{x}\left(\mathrm{1}+{u}\right)^{\mathrm{2}} =\mathrm{0} \\ $$$$\frac{{du}}{\left(\mathrm{1}+{u}\right)^{\mathrm{2}} }=−\mathrm{2}{xdx} \\…
Question Number 92041 by mhmd last updated on 04/May/20 $${solve}\::\left[\:\:\mathrm{2}{yy}''=\mathrm{1}+\left({y}'\right)^{\mathrm{2}} \:\right]\:{if}\:{y}\left(\mathrm{0}\right)=\mathrm{2}\:,\:{y}'\left(\mathrm{0}\right)=−\mathrm{1} \\ $$$$ \\ $$ Answered by mr W last updated on 04/May/20 $$\left({see}\:{also}\:{Q}\mathrm{92040}\right) \\…