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Question-190169

Question Number 190169 by sonukgindia last updated on 29/Mar/23 Commented by Frix last updated on 29/Mar/23 $$\mathrm{Folks}\:\mathrm{2}\:\mathrm{questions}: \\ $$$$\left(\mathrm{1}\right)\:\mathrm{How}\:\mathrm{many}\:\mathrm{solutions}\:\mathrm{does}\:\mathrm{a}\:\mathrm{polynome} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{of}\:\mathrm{degree}\:{n}\:\mathrm{have}? \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Do}\:\mathrm{you}\:\mathrm{ever}\:\mathrm{test}\:\mathrm{your}\:\mathrm{solutions}? \\ $$…

I-saw-this-in-a-book-without-explanation-Please-show-how-It-is-given-that-tan-2-B-A-C-A-B-C-R-Find-cos-2-

Question Number 190151 by Matica last updated on 28/Mar/23 $${I}\:{saw}\:{this}\:{in}\:{a}\:{book}\:\left({without}\:{explanation}\right).\:{Please}\:{show}\:{how}. \\ $$$${It}\:{is}\:{given}\:{that}\:\mathrm{tan}\:\mathrm{2}\theta=\frac{{B}}{{A}−{C}}\:\:\left({A},{B},{C}\:\in\mathbb{R}\right)\:.\:{Find}\:\mathrm{cos}\:\mathrm{2}\theta. \\ $$ Commented by mr W last updated on 28/Mar/23 $${i}\:{saw}\:{this}\:{in}\:{an}\:{other}\:{book}\:\left({without}\:\right. \\ $$$$\left.{explanation},\:{because}\:{nobody}\:{needs}\right).\:…

Question-190140

Question Number 190140 by otchereabdullai last updated on 28/Mar/23 Commented by Frix last updated on 28/Mar/23 $$\mathrm{The}\:\mathrm{text}\:\mathrm{is}\:\mathrm{strange}\:\mathrm{anyway}.\:“…\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{is}\:\mathrm{increased}\:\mathrm{by}\:\mathrm{8}\:\mathrm{and}\:\mathrm{then}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{the} \\ $$$$\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}''\:\mathrm{would}\:\mathrm{mean}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:{after}\:\mathrm{adding}\:\mathrm{8}.\:\mathrm{But}\:\mathrm{then}\:\mathrm{we} \\ $$$$\mathrm{get}\:\mathrm{no}\:\mathrm{reasonable}\:\mathrm{result}.…

Question-190138

Question Number 190138 by 073 last updated on 28/Mar/23 Answered by Pengu last updated on 29/Mar/23 $$\mathrm{Notice}\:\mathrm{that}\:\mathrm{for}\:{a}=\mathrm{4}: \\ $$$$\underset{{x}\rightarrow\mathrm{4}^{−} } {\mathrm{lim}}\:{f}\left({x}\right)\:=\:\underset{{x}\rightarrow\mathrm{4}^{−} } {\mathrm{lim}}\:\frac{\mathrm{2}{x}+\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{4}} \\…

Question-124603

Question Number 124603 by mohammad17 last updated on 04/Dec/20 Answered by MJS_new last updated on 04/Dec/20 $${x}\approx.\mathrm{0141161833534} \\ $$$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{like}\:\mathrm{examples}\:\mathrm{like}\:\mathrm{this}\:\mathrm{one}.\:\mathrm{all}\:\mathrm{you} \\ $$$$\mathrm{can}\:\mathrm{learn}\:\mathrm{from}\:\mathrm{it}\:\mathrm{is}\:\mathrm{that}\:\mathrm{it}'\mathrm{s}\:\mathrm{impossible}\:\mathrm{to} \\ $$$$\mathrm{solve}\:\mathrm{it}\:\mathrm{exactly} \\ $$…

Question-190129

Question Number 190129 by yaslm last updated on 27/Mar/23 Answered by ARUNG_Brandon_MBU last updated on 28/Mar/23 $$\mathrm{Let}\:\mathrm{P}_{{n}} \:\mathrm{be}\:\mathrm{the}\:\mathrm{statement}\:\mathrm{3}\mid\:{n}^{\mathrm{3}} +\mathrm{2}{n}\:\forall{n}\geqslant\mathrm{1} \\ $$$$\mathrm{P}_{{n}} \:\mathrm{is}\:\mathrm{true}\:\mathrm{for}\:{n}=\mathrm{1}\:,\:{n}=\mathrm{2} \\ $$$$\mathrm{Suppose}\:\mathrm{P}_{{n}} \:\mathrm{true}\:\mathrm{for}\:{n}\:\mathrm{and}\:\mathrm{prove}\:\mathrm{that}…