Question Number 81854 by ajfour last updated on 16/Feb/20 Commented by ajfour last updated on 16/Feb/20 $${Find}\:{eq}.\:{of}\:{parabola}\:{using} \\ $$$${a},{b},{c}\:\:{in}\:{the}\:{form}\:{y}={q}−{x}^{\mathrm{2}} . \\ $$ Answered by mr…
Question Number 81853 by jagoll last updated on 16/Feb/20 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left\{{n}\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{{x}^{{n}} }{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx}\:\right\}\:=\:? \\ $$ Commented by john santu last updated on 16/Feb/20…
Question Number 81851 by abdomathmax last updated on 16/Feb/20 $$\left.\mathrm{1}\right){find}\:\int\:\:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Terms of Service…
Question Number 147381 by puissant last updated on 20/Jul/21 $${On}\:{pose}\:{H}_{{n}} \left(\alpha\right)=\underset{{k}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\prod}}{sin}\left(\frac{\alpha}{\mathrm{2}{n}}+\frac{{k}\pi}{{n}}\right) \\ $$$$\left.{a}\right)\:{montrer}\:{que}\:\forall\alpha\neq\mathrm{0},\: \\ $$$$\mathrm{2}^{{n}−\mathrm{1}} {H}_{{n}} \left(\alpha\right)=\frac{{sin}\left(\frac{\alpha}{\mathrm{2}}\right)}{{sin}\left(\frac{\alpha}{\mathrm{2}{n}}\right)} \\ $$$$\left.{b}\right)\:{Calculer}\:{lim}_{\alpha\rightarrow\mathrm{0}} \:{H}_{{n}} \left(\alpha\right) \\ $$$$\left.{c}\right)\:{D}\acute…
Question Number 16310 by tawa tawa last updated on 20/Jun/17 Commented by tawa tawa last updated on 20/Jun/17 $$\mathrm{please}\:\mathrm{i}\:\mathrm{need}\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{urgent}\:\mathrm{sirs}.\:\mathrm{i}\:\mathrm{really}\:\mathrm{appreciate}\:\mathrm{youreffort}. \\ $$$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sirs}. \\ $$ Commented by…
Question Number 81843 by TawaTawa last updated on 15/Feb/20 Commented by mr W last updated on 16/Feb/20 Commented by mr W last updated on 16/Feb/20…
Question Number 16302 by mrW1 last updated on 20/Jun/17 $$\mathrm{Related}\:\mathrm{to}\:\mathrm{Q16140} \\ $$$$\mathrm{What}\:\mathrm{if}\:\mathrm{the}\:\mathrm{three}\:\mathrm{lines}\:\mathrm{d}_{\mathrm{1}} ,\mathrm{d}_{\mathrm{2}} ,\mathrm{d}_{\mathrm{3}} \:\mathrm{are} \\ $$$$\mathrm{not}\:\mathrm{parallel},\:\mathrm{but}\:\mathrm{concurrent}? \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on…
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Question Number 81835 by M±th+et£s last updated on 15/Feb/20 Commented by M±th+et£s last updated on 15/Feb/20 $${hn}:\:{harmonic}\:{number} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 147371 by mathdanisur last updated on 20/Jul/21 $${if}\:\:{x}>\mathrm{0}\:\:{then}: \\ $$$${e}^{\boldsymbol{{x}}+\boldsymbol{{e}}^{−\boldsymbol{{x}}} } \:+\:{e}^{−\boldsymbol{{x}}+\boldsymbol{{e}}^{\boldsymbol{{x}}} } \:\geqslant\:\mathrm{2}{coshx}\:\centerdot\:{e}^{\boldsymbol{{sechx}}} \\ $$ Answered by mindispower last updated on 20/Jul/21…