Question Number 66163 by aliesam last updated on 09/Aug/19 Answered by mr W last updated on 09/Aug/19 $${y}={x}^{{x}^{{x}^{….} } } \\ $$$${y}={x}^{{y}} \\ $$$$\mathrm{ln}\:{y}={y}\:\mathrm{ln}\:{x} \\…
Question Number 622 by 123456 last updated on 12/Feb/15 $$\frac{{y}}{{x}}\left(\frac{{dy}}{{dx}}−\frac{{y}}{{x}}\right)=\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} } \\ $$ Commented by prakash jain last updated on 12/Feb/15 $${y}={kx}? \\ $$…
Question Number 131690 by LYKA last updated on 07/Feb/21 $${use}\:{the}\:{method}\:{of}\: \\ $$$$\boldsymbol{{lagrange}}\:\boldsymbol{{multipliers}}\:\boldsymbol{{to}}\:\boldsymbol{{fond}}\: \\ $$$$\boldsymbol{{the}}\:\boldsymbol{{extrema}}\:\boldsymbol{{of}}\: \\ $$$$\boldsymbol{{f}}\left(\boldsymbol{{x}}.\boldsymbol{{y}}.\boldsymbol{{z}}\right)=\mathrm{24}\boldsymbol{{x}}^{\mathrm{2}} \boldsymbol{{y}}^{\mathrm{2}} \left(\mathrm{6}−\boldsymbol{{z}}^{\mathrm{2}} \right) \\ $$$$\boldsymbol{{subject}}\:\boldsymbol{{to}}\:\boldsymbol{{z}}=\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{y}}^{\mathrm{2}} −\mathrm{2}\boldsymbol{{xy}} \\ $$$$…
Question Number 131642 by liberty last updated on 07/Feb/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{area}\: \\ $$$$\mathrm{of}\:\mathrm{ellipse}\:\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{a}^{\mathrm{2}} }+\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }=\mathrm{1}\:\mathrm{which}\:\mathrm{touches} \\ $$$$\mathrm{the}\:\mathrm{line}\:\mathrm{y}\:=\:\mathrm{3x}+\mathrm{2}. \\ $$ Answered by benjo_mathlover last updated…
Question Number 66099 by olalekan2 last updated on 09/Aug/19 $${differentiate}\:{y}=\mathrm{10}^{\mathrm{1}−{sin}^{\mathrm{2}} \mathrm{3}{x}} \\ $$ Commented by mathmax by abdo last updated on 09/Aug/19 $${y}\left({x}\right)\:=\mathrm{10}^{\mathrm{1}−{sin}^{\mathrm{2}} \left(\mathrm{3}{x}\right)} \:\Rightarrow{y}\left({x}\right)\:={e}^{\left(\mathrm{1}−{sin}^{\mathrm{2}}…
Question Number 66089 by Lalita 42@gmeilcon last updated on 09/Aug/19 $$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 551 by 123456 last updated on 26/Jan/15 $${f}\left({z}\right)={z}\left({y}−{xi}\right) \\ $$$${z}={x}+{yi} \\ $$$$\frac{{df}}{{dz}}=? \\ $$ Answered by prakash jain last updated on 26/Jan/15 $${y}−{xi}=−{i}\left({x}+{iy}\right)=−{iz}…
Question Number 66046 by olalekan2 last updated on 08/Aug/19 $${find}\:\frac{{dy}}{{dx}}\:{if}\:{y}={x}^{{x}^{{x}} } \\ $$$${help}\:{pls} \\ $$ Commented by Prithwish sen last updated on 08/Aug/19 $$\mathrm{y}=\mathrm{x}^{\mathrm{x}^{\mathrm{x}} }…
Question Number 131550 by liberty last updated on 06/Feb/21 $$\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}+\mathrm{4}\right)\:\forall\mathrm{x}\in\mathbb{R} \\ $$$$\:\mathrm{If}\:\int_{\mathrm{5}} ^{\mathrm{7}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\:=\:\mathrm{T}\:;\:\int_{\mathrm{3}} ^{\mathrm{5}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\:=\:\mathrm{L} \\ $$$$\mathrm{then}\:\int_{\mathrm{2}} ^{\mathrm{10}} \mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=? \\ $$ Answered by talminator2856791…