Question Number 76367 by Rio Michael last updated on 26/Dec/19 $${prove}\:{that}\:\:\underset{{r}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{r}^{\mathrm{2}} }\:=\:\frac{\pi^{\mathrm{2}} }{\mathrm{6}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 10830 by Saham last updated on 26/Feb/17 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\:\frac{\mathrm{3}^{\mathrm{x}} \:−\:\mathrm{3}^{−\mathrm{x}} }{\mathrm{3}^{\mathrm{x}} \:+\:\mathrm{3}^{−\mathrm{x}} } \\ $$ Answered by bahmanfeshki last updated on 26/Feb/17 $$\underset{{x}\rightarrow\infty}…
Question Number 10829 by Saham last updated on 26/Feb/17 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\int_{\:\mathrm{1}} ^{\:\mathrm{x}} \:\:\:\frac{\mathrm{e}^{\mathrm{t}^{\mathrm{2}} } \:\left(\mathrm{dt}\right)}{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{1}}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{1}\:\left(\mathrm{b}\right)\:\mathrm{0}\:\left(\mathrm{c}\right)\:\mathrm{e}/\mathrm{2}\:\left(\mathrm{d}\right)\:\mathrm{e} \\ $$ Answered by bahmanfeshki last updated…
Question Number 76360 by mathmax by abdo last updated on 26/Dec/19 $${calculate}\:\:\int_{\mathrm{1}} ^{\infty} \:\:\:\:\frac{{dx}}{{x}^{\mathrm{3}} \left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3}\right)} \\ $$ Commented by abdomathmax last updated on 29/Dec/19…
Question Number 10825 by Saham last updated on 26/Feb/17 $$\mathrm{Given}\:\mathrm{that}\: \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:−\:\mathrm{sin}\left(\mathrm{y}\right)\:=\:\mathrm{sin}\left(\theta\right) \\ $$$$\mathrm{cos}\left(\mathrm{x}\right)\:+\:\mathrm{cos}\left(\mathrm{y}\right)\:=\:\mathrm{cos}\left(\theta\right) \\ $$$$\mathrm{Show}\:\mathrm{that}\: \\ $$$$\mathrm{cos}\left(\mathrm{x}\:+\:\mathrm{y}\right)\:=\:−\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Answered by mrW1 last updated…
Question Number 76361 by mathmax by abdo last updated on 26/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:\:,{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{sinA}\:{and}\:{cosA} \\ $$$$\left.\mathrm{4}\right)\:{find}\:{ch}\left({A}\right)\:{and}\:{sh}\left({A}\right) \\ $$ Commented by…
Question Number 76359 by mathmax by abdo last updated on 26/Dec/19 $${calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{7}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 76356 by mathmax by abdo last updated on 26/Dec/19 $${find}\:{f}\left({x}\right)\:=\int\:\:\frac{{dt}}{\:\sqrt{{t}^{\mathrm{2}} −{xt}\:+\mathrm{1}}}\:\:{with}\:{x}\:{real}. \\ $$ Commented by mathmax by abdo last updated on 28/Dec/19 $${t}^{\mathrm{2}}…
Question Number 10820 by chux last updated on 26/Feb/17 Answered by bar Jesús last updated on 26/Feb/17 $$\mathrm{8}{log}_{\mathrm{2}} {x}={log}_{\mathrm{2}} {x}^{\mathrm{8}} ,{x}=\mathrm{2} \\ $$$$\left({x}−\mathrm{1}\right){log}_{{x}} \mathrm{2}={log}_{{x}} \mathrm{2}^{\left({x}−\mathrm{1}\right)}…
Question Number 76354 by mathmax by abdo last updated on 26/Dec/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(−\mathrm{1}\right)^{{n}} \:{arctan}\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:+{n}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com