Category: Differentiation

Question Number 57415 by Abdo msup. last updated on 03/Apr/19 $$solve(x-1)y^{{}^{\prime }}+(1+\sqrt{x})y=x{e}^{-2x}$$ Commented by maxmathsup by imad last updated on 12/Apr/19 $${due}\:{to}\:\sqrt{{x}}{we}\:{must}\:{have}\:{x}\geqslant\mathrm{0}\:\:\:\left({ed}\right)\:\Leftrightarrow\left(\sqrt{{x}}−\mathrm{1}\right)\left(\sqrt{{x}}+\mathrm{1}\right){y}^{'} +\left(\sqrt{\:{x}}+\mathrm{1}\right){y}\:={xe}^{−\mathrm{2}{x}}…

Question Number 188387 by cortano12 last updated on 28/Feb/23 Answered by Frix last updated on 28/Feb/23 $$\mathrm{I}\mathrm{think}\mathrm{because}\mathrm{of}\mathrm{symmetry}a=b=c=1\Rightarrow$$$$\mathrm{Minimum}\mathrm{is}\frac{3}{2}$$ Answered by mnjuly1970 last…

Question Number 122695 by liberty last updated on 19/Nov/20 $$Findmaximumandminimumvalues$$$$off(x,y)=xyonthecircleg(x,y)=$$$$x^2+y^2-1=0.$$ Answered by john santu last updated on…

Question Number 57084 by frimpshaddie last updated on 30/Mar/19 Commented by Kunal12588 last updated on 30/Mar/19 $$\left(d\right)whenthevelocityofparticlebecomes0$$$$thentheparticleissaidtobeinrest$$$$\left(horizontalmotiononly\right)$$$$\therefore v=0$$$$\Rightarrow\mathrm{3}{t}^{\mathrm{2}}…

Question Number 188083 by Kalebwizeman last updated on 25/Feb/23 $$determinethevalueofbforwhich$$$$y=\frac{-x}{3}+bmeetsthegraphof$$$$y^2=x^{3}orthogonally$$ Commented by a.lgnaoui last updated on 27/Feb/23…