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Category: Algebra

Question-108422

Question Number 108422 by maouame last updated on 16/Aug/20 Answered by bubugne last updated on 17/Aug/20 $$ \\ $$$$\mathrm{1}\:−\:{solution}\:{triviale}\: \\ $$$$\left.\exists\left.\:\epsilon\:\in\:\mathbb{R}_{+} ^{\ast} \:\forall\:{c}\:\in\:\right]\mathrm{0},\epsilon\right]\:{f}\left({c}\right)={f}\:'\left({c}\right)=\mathrm{0} \\ $$$$…

Question-173923

Question Number 173923 by mathlove last updated on 21/Jul/22 Commented by Rasheed.Sindhi last updated on 21/Jul/22 $$\frac{\mathrm{r}_{\mathrm{1}} }{\mathrm{r}_{\mathrm{2}} }=\frac{\mathrm{r}_{\mathrm{2}} }{\mathrm{r}_{\mathrm{3}} }\Rightarrow\frac{\mathrm{2}}{\mathrm{3}}=\frac{\mathrm{3}}{\mathrm{r}_{\mathrm{3}} }\Rightarrow\mathrm{r}_{\mathrm{3}} =\frac{\mathrm{9}}{\mathrm{2}}=\mathrm{4}.\mathrm{5}\:\mathrm{cm} \\ $$…

Q-a-n-is-an-arithmatic-sequence-a-first-term-and-d-difference-such-that-a-a-a-d-a-ad-find-a-n-no

Question Number 173926 by mnjuly1970 last updated on 21/Jul/22 $$ \\ $$$$\:\:\:\:\:{Q}: \\ $$$$\:\:\:\:\:\:\:{a}_{\:{n}\:} \:\:{is}\:{an}\:{arithmatic}\:{sequence}. \\ $$$$\:\:\:\:\:\:\:\:\:\:{a}\:\left(\:{first}\:{term}\right)\:{and}\:\:{d}\:\left({difference}\:\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:{such}\:{that}\:,\:\:{a}_{\:{a}} \:+\:{a}_{\:{d}} \:=\:{a}_{\:{ad}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{find}\:\:\::\:\:\:\:{a}_{\:{n}} \:\:=? \\…

prove-1-

Question Number 173917 by Michaelfaraday last updated on 21/Jul/22 $${prove}: \\ $$$$\left(−\mathrm{1}\right)! \\ $$ Commented by Frix last updated on 21/Jul/22 $$\mathrm{I}\:\mathrm{promise}\:\mathrm{to}\:\mathrm{prove}\:\left(−\mathrm{1}\right)!\:\mathrm{if}\:\mathrm{you}\:\mathrm{prove}\:\frac{\pi}{\mathrm{7}}. \\ $$ Commented…