Question Number 148250 by Jonathanwaweh last updated on 26/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 148241 by 7770 last updated on 26/Jul/21 $$\:{f}:{x}\rightarrow\frac{{x}^{\mathrm{2}} +{x}−\mathrm{1}}{{x}−\mathrm{1}}\:{where}\:{x}\neq\mathrm{1} \\ $$$$\:{find}\:{the}\:{range}\:{of}\:{the}\:{function} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Jul/21 $${f}\left({x}\right)\:=\:\frac{{x}^{\mathrm{2}} +{x}−\mathrm{1}}{{x}−\mathrm{1}}\:=\:{x}+\mathrm{2}+\frac{\mathrm{1}}{{x}−\mathrm{1}} \\…
Question Number 17169 by Tinkutara last updated on 01/Jul/17 $$\mathrm{The}\:\mathrm{base}\:\mathrm{of}\:\mathrm{a}\:\mathrm{pyramid}\:\mathrm{is}\:\mathrm{an}\:\mathrm{equilateral} \\ $$$$\mathrm{triangle}\:\mathrm{of}\:\mathrm{side}\:\mathrm{length}\:\mathrm{6}\:\mathrm{cm}.\:\mathrm{The}\:\mathrm{other} \\ $$$$\mathrm{edges}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pyramid}\:\mathrm{are}\:\mathrm{each}\:\mathrm{of}\:\mathrm{length} \\ $$$$\sqrt{\mathrm{15}}\:\mathrm{cm}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pyramid}. \\ $$ Answered by ajfour last updated on 02/Jul/17…
Question Number 148242 by puissant last updated on 26/Jul/21 Answered by Jonathanwaweh last updated on 26/Jul/21 $${soit}\:\:{Aappartenant}\:{a}\:\varepsilon\:{on}\:{a}\:{got}\left({A}\right)={g}\left(\overset{\rightarrow} {{A}}+\overset{\rightarrow} {{V}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={g}\left({A}\overset{\rightarrow} {\right)}+{g}\left({V}\overset{\rightarrow} {\right)} \\ $$$$\:\:\:\:\:\:\:\:\:\:{de}\:{meme}\:{tog}\left({A}\right)=\overset{\rightarrow}…
Question Number 148237 by puissant last updated on 26/Jul/21 $${f}\left({t}\right)={sin}\left({pt}\right)\:{fourier}\:{serie}.. \\ $$ Answered by Olaf_Thorendsen last updated on 26/Jul/21 $${f}\:\mathrm{est}\:\mathrm{une}\:\mathrm{fonction}\:\mathrm{impaire}\:\mathrm{et}\: \\ $$$$\mathrm{donc}\:{a}_{\mathrm{0}} \:=\:\mathrm{0}.\:\mathrm{Les}\:\mathrm{autres}\:{a}_{{n}} \mathrm{sont}\:\mathrm{nuls} \\…
Question Number 17167 by Arnab Maiti last updated on 01/Jul/17 $$\int\mathrm{x}^{\mathrm{2}} \mathrm{sin}^{−\mathrm{1}} \mathrm{3x}\:\mathrm{dx} \\ $$ Answered by sma3l2996 last updated on 01/Jul/17 $${I}=\int{x}^{\mathrm{2}} {sin}^{−\mathrm{1}} \left(\mathrm{3}{x}\right){dx}…
Question Number 82700 by jagoll last updated on 23/Feb/20 $$\int\:\frac{\mathrm{2}{dx}}{\mathrm{3}{x}\sqrt{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{6}}}\:? \\ $$ Commented by john santu last updated on 23/Feb/20 $$\int\:\frac{{d}\left({x}^{\mathrm{2}} \right)}{\mathrm{3}{x}^{\mathrm{2}} \:\sqrt{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{6}}}\:,\:{let}\:{x}^{\mathrm{2}}…
Question Number 82701 by jagoll last updated on 23/Feb/20 $$\mathrm{2}{f}\left({x}−\mathrm{1}\right)\:+\mathrm{3}{f}\left({x}+\mathrm{1}\right)\overset{\:} {\:}=\:\mathrm{3}{x}^{\mathrm{2}} −\mathrm{5}{x} \\ $$$${find}\:{f}\left({x}\right) \\ $$ Answered by TANMAY PANACEA last updated on 23/Feb/20 $${f}\left({x}\right)={ax}^{\mathrm{2}}…
Question Number 82699 by jagoll last updated on 23/Feb/20 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt{{ax}−{a}+{b}}−\mathrm{3}}{{x}−\mathrm{1}}\:=\:−\frac{\mathrm{3}}{\mathrm{2}} \\ $$$${find}\:{a}\:{and}\:{b}\:{without}\:{L}'{hopital}\:{rule} \\ $$ Commented by john santu last updated on 23/Feb/20 $$\left(\mathrm{1}\right)\:{limit}\:{must}\:{be}\:\frac{\mathrm{0}}{\mathrm{0}} \\…
Question Number 148229 by iloveisrael last updated on 26/Jul/21 Commented by nimnim last updated on 26/Jul/21 $$\:\:\:\:\:\:\:\:\:{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}+\frac{\mathrm{1}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}=\mathrm{20} \\ $$$$\Rightarrow\frac{{x}^{\mathrm{2}} −\left({x}^{\mathrm{2}} −\mathrm{1}\right)+\mathrm{1}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}×\frac{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}+\sqrt{{x}^{\mathrm{2}}…