Question Number 125368 by bemath last updated on 10/Dec/20 $$\:{How}\:{to}\:{derive}\:{the}\:{formula}\: \\ $$$${for}\:{finding}\:{the}\:{volume}\:{of}\: \\ $$$${spherical}\:{curl}\:? \\ $$ Commented by Ar Brandon last updated on 10/Dec/20 https://www.therightgate.com/deriving-curl-in-cylindrical-and-spherical/…
Question Number 125322 by john_santu last updated on 10/Dec/20 Commented by john_santu last updated on 10/Dec/20 $${question}\:\left({c}\right) \\ $$ Commented by john_santu last updated on…
Question Number 125297 by mnjuly1970 last updated on 09/Dec/20 $$\:::::{prove}\:\:{that}\:: \\ $$$$\:\:\:\:{i}:\:\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{x}^{{s}−\mathrm{1}} }{\mathrm{1}+{x}}{dx}=\psi\left({s}\right)\:−\:\psi\left(\frac{{s}}{\mathrm{2}}\right)−{ln}\left(\mathrm{2}\right) \\ $$$$\:\:\:\:\:\:{ii}:\:\psi\left(\mathrm{2}{x}\right)=\frac{\mathrm{1}}{\mathrm{2}}\psi\left({x}\right)+\frac{\mathrm{1}}{\mathrm{2}}\psi\left({x}+\frac{\mathrm{1}}{\mathrm{2}}\right)+{ln}\left(\mathrm{2}\right) \\ $$ Answered by Bird last updated on…
Question Number 59753 by Aditya789 last updated on 14/May/19 $$\mathrm{x}=\left(\mathrm{a}+\mathrm{b}\right)\mathrm{cosx}−\mathrm{bcos}\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{b}}\right)\mathrm{x} \\ $$$$\mathrm{y}=\left(\mathrm{a}+\mathrm{b}\right)\mathrm{sinx}−\mathrm{bsin}\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{b}}\right)\mathrm{x} \\ $$$$\mathrm{find}\:\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{tan}\left(\frac{\mathrm{a}}{\mathrm{2b}}+\mathrm{1}\right)\mathrm{x} \\ $$ Answered by tanmay last updated on 14/May/19 $${x}+{y}=\left({a}+{b}\right)\left({sinx}+{cosx}\right)−{b}\left[{sin}\left(\frac{{a}+{b}}{{b}}\right){x}+{cos}\left(\frac{{a}+{b}}{{b}}\right){x}\right] \\…
Question Number 59667 by tanmay last updated on 13/May/19 Answered by tanmay last updated on 13/May/19 $$\int_{{a}} ^{{b}} {f}\left({x}\right){dx}=\int_{{a}} ^{{b}} {f}\left({a}+{b}−{x}\right){dx} \\ $$$${I}=\int_{\mathrm{4}} ^{\mathrm{10}} \frac{\left[{x}^{\mathrm{2}}…
Question Number 125099 by bramlexs22 last updated on 08/Dec/20 $$\:{Given}\:{a}\:{function}\:{f}\left({x}\right)\:=\:\sqrt[{\mathrm{3}}]{\mathrm{2}{ax}^{\mathrm{2}} −{x}^{\mathrm{3}} }. \\ $$$${Find}\:{the}\:{inclined}\:{asymptotes} \\ $$ Answered by liberty last updated on 08/Dec/20 $$\:{k}\:=\:\underset{{x}\rightarrow\pm\infty} {\mathrm{lim}}\:\frac{{y}}{{x}}\:=\:\underset{{x}\rightarrow\pm\infty}…
Question Number 125054 by micelle last updated on 08/Dec/20 $${x}\frac{{dy}}{{dx}}−\mathrm{6}\frac{{y}}{{x}}=\mathrm{7}{x}^{\mathrm{3}} \\ $$$${help}\:{me} \\ $$ Answered by Dwaipayan Shikari last updated on 08/Dec/20 $$\frac{{dy}}{{dx}}−\frac{\mathrm{6}{y}}{{x}^{\mathrm{2}} }=\mathrm{7}{x}^{\mathrm{4}} \\…
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Question Number 190546 by cortano12 last updated on 05/Apr/23 $$\:\mathrm{Given}\:\mathrm{x},\mathrm{y},\mathrm{z}>\mathrm{0}\:\mathrm{and}\: \\ $$$$\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} +\mathrm{x}+\mathrm{2y}+\mathrm{3z}=\mathrm{23}\: \\ $$$$\:\mathrm{find}\:\mathrm{maximum}\:\mathrm{of}\:\mathrm{x}+\mathrm{y}+\mathrm{z}. \\ $$ Answered by mr W last updated…
Question Number 124956 by liberty last updated on 07/Dec/20 $$\:{y}\:=\:\mathrm{sec}^{−\mathrm{1}} \left({e}^{{x}^{\mathrm{4}} } \right)\:.\:{Find}\:{dy}\:=? \\ $$ Answered by bemath last updated on 07/Dec/20 $$\:\Rightarrow\:{e}^{{x}^{\mathrm{4}} } \:=\:\mathrm{sec}\:{y}\:{or}\:\mathrm{cos}\:{y}\:=\:\frac{\mathrm{1}}{{e}^{{x}^{\mathrm{4}}…