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Author: Tinku Tara

n-1-k-1-n-2-2n-

Question Number 191889 by cortano12 last updated on 03/May/23 $$\:\:\:\:\:\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{k}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} +\mathrm{2n}}\:=? \\ $$ Answered by mahdipoor last updated on 03/May/23 $$\underset{{n}=\mathrm{1}} {\overset{{k}} {\sum}}\:\frac{\mathrm{1}}{{n}^{\mathrm{2}}…

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…

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}}…