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Category: Algebra

S-4-R-2-prove-

Question Number 60816 by ANTARES VY last updated on 26/May/19 $$\boldsymbol{\mathrm{S}}=\mathrm{4}\boldsymbol{\pi\mathrm{R}}^{\mathrm{2}} \:\:\:\boldsymbol{\mathrm{prove}} \\ $$ Answered by tanmay last updated on 26/May/19 $${ds}={Rd}\theta×{Rsin}\theta{d}\phi \\ $$$${S}={R}^{\mathrm{2}} \int_{\mathrm{0}}…

V-4-3-R-3-prove-

Question Number 60817 by ANTARES VY last updated on 26/May/19 $$\boldsymbol{\mathrm{V}}=\frac{\mathrm{4}}{\mathrm{3}}\boldsymbol{\pi\mathrm{R}}^{\mathrm{3}} \:\:\:\boldsymbol{\mathrm{prove}} \\ $$ Commented by Prithwish sen last updated on 26/May/19 http://mathcentral.uregina.ca/QQ/database/QQ.09.01/rahul1.html Commented by…

Prove-that-if-u-f-x-3-y-3-where-f-is-arbitry-function-then-x-2-u-y-y-2-u-x-

Question Number 191867 by Spillover last updated on 02/May/23 $${Prove}\:{that}\:{if}\:\:\:{u}={f}\left({x}^{\mathrm{3}} +{y}^{\mathrm{3}} \right),{where}\:{f}\:\:{is}\:{arbitry} \\ $$$${function}\:{then}\:\:\:\:{x}^{\mathrm{2}} \:\frac{\partial{u}}{\partial{y}}\:=\:{y}^{\mathrm{2}} \frac{\partial{u}}{\partial{x}} \\ $$ Answered by qaz last updated on 02/May/23…

Question-126329

Question Number 126329 by mnjuly1970 last updated on 19/Dec/20 Answered by Olaf last updated on 19/Dec/20 $${x}^{\mathrm{5}} −\mathrm{5}{x}^{\mathrm{4}} −\mathrm{10}{x}^{\mathrm{3}} +\mathrm{10}{x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{1}\:=\:\mathrm{0} \\ $$$$\left({x}^{\mathrm{5}} −\mathrm{1}\right)−\mathrm{5}\left({x}^{\mathrm{4}} −{x}\right)−\mathrm{10}\left({x}^{\mathrm{3}}…

Question-191833

Question Number 191833 by Mingma last updated on 01/May/23 Answered by AST last updated on 01/May/23 $${a}={log}_{\mathrm{2}} \mathrm{900};{b}={log}_{\mathrm{3}} \mathrm{900};{c}={log}_{\mathrm{5}} \mathrm{900} \\ $$$$\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}={log}_{\mathrm{900}} \mathrm{2}+{log}_{\mathrm{900}} \mathrm{3}+{log}_{\mathrm{900}} \mathrm{5}…