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Category: Differentiation

find-D-x-2-y-2-dxdxy-with-D-x-y-z-R-3-x-2-y-2-z-2-1-and-z-0-

Question Number 27598 by abdo imad last updated on 10/Jan/18 $${find}\:\int\int\int_{{D}} \left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dxdxy}\:\:\:{with} \\ $$$$\left.{D}=\left\{{x},{y},{z}\right)\in{R}^{\mathrm{3}} \:\:\:/{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \:\leqslant\mathrm{1}\:\:{and}\:{z}\geqslant\mathrm{0}\:\right\} \\ $$ Commented by abdo…

f-x-3x-2-a-Find-the-critical-number-b-Find-the-interval-on-which-f-increase-and-decrese-c-Find-the-local-extrem-value-of-f-d-using-the-2-nd-derivative-find-local-extrem-

Question Number 27567 by chernoaguero@gmail.com last updated on 09/Jan/18 $$\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x}^{\mathrm{2}} \\ $$$$\left(\mathrm{a}\right)\mathrm{Find}\:\mathrm{the}\:\mathrm{critical}\:\mathrm{number} \\ $$$$\left(\mathrm{b}\right)\mathrm{Find}\:\mathrm{the}\:\mathrm{interval}\:\mathrm{on}\:\mathrm{which}\:\mathrm{f} \\ $$$$\mathrm{increase}\:\mathrm{and}\:\mathrm{decrese} \\ $$$$\left(\mathrm{c}\right)\mathrm{Find}\:\mathrm{the}\:\mathrm{local}\:\mathrm{extrem}\:\mathrm{value}\:\mathrm{of}\:\mathrm{f} \\ $$$$\left(\mathrm{d}\right)\mathrm{using}\:\mathrm{the}\:\mathrm{2}^{\mathrm{nd}} \:\mathrm{derivative}, \\ $$$$\mathrm{find}\:\mathrm{local}\:\mathrm{extrem} \\ $$…

EI-4-y-x-4-S-2-y-t-2-0-1-y-x-0-U-0-x-y-t-x-0-V-0-x-EI-2-y-x-2-0-t-EI-2-y-x-2-L-t-0-

Question Number 158625 by ArielVyny last updated on 07/Nov/21 $${EI}\frac{\partial^{\mathrm{4}} {y}}{\partial{x}^{\mathrm{4}} }+\rho{S}\frac{\partial^{\mathrm{2}} {y}}{\partial{t}^{\mathrm{2}} }=\mathrm{0}\:\:\:\left(\mathrm{1}\right) \\ $$$${y}\left({x},\mathrm{0}\right)={U}_{\mathrm{0}} \left({x}\right) \\ $$$$\frac{\partial{y}}{\partial{t}}\left({x},\mathrm{0}\right)={V}_{\mathrm{0}} \left({x}\right)\:\:\:\:\:\:;\:{EI}\frac{\partial^{\mathrm{2}} {y}}{\partial{x}^{\mathrm{2}} }\left(\mathrm{0},{t}\right)={EI}\frac{\partial^{\mathrm{2}} {y}}{\partial{x}^{\mathrm{2}} }\left({L},{t}\right)=\mathrm{0} \\…

Question-158503

Question Number 158503 by cortano last updated on 05/Nov/21 Commented by MJS_new last updated on 05/Nov/21 $$\left(\mathrm{1}\right)\:\mathrm{the}\:\mathrm{equation}\:\mathrm{has}\:\mathrm{only}\:\mathrm{one}\:\mathrm{real}\:\mathrm{solution} \\ $$$${x}=\mathrm{2}\wedge{y}=\mathrm{3} \\ $$ Commented by Rasheed.Sindhi last…