Question Number 192132 by Red1ight last updated on 09/May/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{point}\:\mathrm{in}\:{f}\left({x}\right)\:\mathrm{to}\:\left(\mathrm{5},\mathrm{2}\right) \\ $$$$\mathrm{where}\:{f}\left({x}\right)=−\mathrm{0}.\mathrm{5}{x}^{\mathrm{2}} +\mathrm{3} \\ $$ Answered by mehdee42 last updated on 09/May/23 $${according}\:{to}\:{the}\:{diagram}: \\ $$$${let}\::{H}\left({h},{f}\left({h}\right)\right)\:\:…
Question Number 60706 by maxmathsup by imad last updated on 24/May/19 $${let}\:{f}\left({x}\right)\:=\sqrt{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$$$\left.\mathrm{1}\right)\:{let}\:{U}_{{n}} ={f}^{\left({n}\right)} \left({x}\right)\:\:{prove}\:{that}\:\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:{U}_{{k}} {U}_{{n}+\mathrm{1}−{k}} =\mathrm{0}\:\:{for}\:{n}\geqslant\mathrm{2} \\ $$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:.…
Question Number 60701 by maxmathsup by imad last updated on 24/May/19 $${let}\:{f}\left({x}\right)\:={e}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{2}−{x}\right)\:\:\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$ Commented by maxmathsup by imad last updated on 27/May/19…
Question Number 60682 by maxmathsup by imad last updated on 24/May/19 $${simplify}\:\:\:\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\:{sin}^{{k}} \left({x}\right){cos}\left({kx}\right)\:\:\: \\ $$ Commented by mathsolverby Abdo last updated on…
Question Number 60677 by maxmathsup by imad last updated on 24/May/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:{sin}\left(\frac{{k}^{\mathrm{2}} \pi}{{n}^{\mathrm{3}} }\right)\:\:{determine}\:{lim}_{{n}\rightarrow\infty} \:\:{S}_{{n}} \\ $$ Terms of Service Privacy Policy…
Question Number 60676 by maxmathsup by imad last updated on 24/May/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\:{sin}^{\mathrm{2}} \left(\frac{{k}\pi}{{n}^{\mathrm{2}} }\right)\:\:\:\:\:{find}\:{lim}_{{n}\rightarrow\infty} \:\:{S}_{{n}} \\ $$ Commented by maxmathsup by imad…
Question Number 191733 by Spillover last updated on 29/Apr/23 $${Show}\:{that}\: \\ $$$$\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\:\:\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:{does}\:{not}\:{exist} \\ $$ Answered by mehdee42 last updated on…
Question Number 191732 by Spillover last updated on 29/Apr/23 $${Find}\:{the}\:{relative}\:{maximum}\:{and}\:{minimum} \\ $$$${of}\:{the}\:{function} \\ $$$${f}\left({x},{y}\right)=\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} −\mathrm{3x}−\mathrm{12y}+\mathrm{20} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 60503 by prof Abdo imad last updated on 21/May/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n}}{\mathrm{1}^{\mathrm{3}} \:+\mathrm{2}^{\mathrm{3}} \:+\mathrm{3}^{\mathrm{3}} \:+…+{n}^{\mathrm{3}} } \\ $$ Answered by Prithwish sen last…