Question Number 216615 by EmGent last updated on 12/Feb/25 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{sin}\:{n}\pi{x}\:{J}_{\mathrm{0}} \left({j}_{\mathrm{0}{m}} {x}\right){dx} \\ $$ Answered by EmGent last updated on 12/Feb/25 $$\mathrm{Does}\:\mathrm{anyone}\:\mathrm{knows}\:\mathrm{how}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this}\:? \\…
Question Number 216572 by Samuel12 last updated on 10/Feb/25 Answered by maths2 last updated on 11/Feb/25 $${si}\:\alpha\notin{I}\Rightarrow\alpha=\frac{{a}}{{b}}\in{IQ}\:\:{b} {a}=\mathrm{1}\:{on}\:{va}\:{montrer}\:{Que}\:{b}\mid{a} \\ $$$$\Rightarrow{a}^{{n}} −\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\sum}}{c}_{{k}} {a}^{{k}} {b}^{{n}−{k}}…
Question Number 216537 by klipto last updated on 11/Feb/25 $$\mathrm{using}\:\mathrm{first}\:\mathrm{principle}\:\mathrm{solve} \\ $$$$\mathrm{y}=\frac{\mathrm{x}+\mathrm{2}}{\:\sqrt{\mathrm{x}}+\mathrm{2}} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{with}\:\mathrm{first}\:\mathrm{principle} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 216542 by Davidtim last updated on 10/Feb/25 $${if}\:{y}={cosu}\:{then}\:{prove}\:{that}\:{y}'={sinu}\centerdot{u}' \\ $$$${by}\:{newton}'{s}\:{formula}. \\ $$ Commented by Davidtim last updated on 11/Feb/25 $${please}\:{solve}\:{the}\:{problem}. \\ $$ Terms…
Question Number 216493 by issac last updated on 09/Feb/25 $$\mathrm{Res}_{{z}={c}} \left\{{f}\left({z}\right)\right\}=\frac{\mathrm{1}}{\mathrm{2}\pi{i}}\:\oint_{\:\mathrm{C}} \:{f}\left({z}\right)\mathrm{d}{z} \\ $$$$\mathrm{Res}_{{z}=\mathrm{1}} \left\{\frac{{z}^{\mathrm{21}} +{z}^{\mathrm{2}} +{z}+\mathrm{1}}{\left({z}−\mathrm{1}\right)^{\mathrm{3}} }\right\}=\frac{\mathrm{1}}{\mathrm{2}\pi{i}}\:\oint_{\:{C}} \:\frac{{z}^{\mathrm{21}} +{z}^{\mathrm{2}} +{z}+\mathrm{1}}{\left({z}−\mathrm{1}\right)^{\mathrm{3}} }\mathrm{d}{z} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}\pi{i}}\:\oint_{\:{C}} \:\:\frac{\frac{{z}^{\mathrm{21}}…
Question Number 216513 by CrispyXYZ last updated on 09/Feb/25 $$\mathrm{Prove}\:\mathrm{or}\:\mathrm{disprove}\:\mathrm{that}: \\ $$$$\mathrm{If}\:{p}=\sqrt{\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{3}^{{k}} }\:\left({n}>\mathrm{0}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer},\:\mathrm{then}\:{p}\:\mathrm{is}\:\mathrm{prime}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 216445 by Tawa11 last updated on 08/Feb/25 $$\mathrm{Prove}\:\mathrm{that}\:\:\Gamma\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:\:=\:\:\sqrt{\pi} \\ $$ Commented by Mathstar last updated on 08/Feb/25 $$\Gamma\left(\mathrm{x}\right)\Gamma\left(\mathrm{1}−\mathrm{x}\right)=\frac{\pi}{\mathrm{sin}\left(\pi\mathrm{x}\right)} \\ $$$$\mathrm{Let}\:\mathrm{x}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\Gamma^{\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\pi\:\Rightarrow\:\Gamma\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:=\:\sqrt{\pi}…
Question Number 216437 by issac last updated on 08/Feb/25 Answered by issac last updated on 08/Feb/25 $$\mathrm{Q}. \\ $$$$\mathrm{Maxwells}\:\mathrm{equations}\:\mathrm{for}\:\mathrm{electric}\:\mathrm{and} \\ $$$$\mathrm{magntic}\:\mathrm{fields}\:\mathrm{are}\:\mathrm{as}\:\mathrm{follows}. \\ $$$$\: \\ $$$$\mathrm{Choose}\:\mathrm{one}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{described}\:\mathrm{by}\:\mathrm{the}…
Question Number 216471 by Ismoiljon_008 last updated on 08/Feb/25 Commented by Ismoiljon_008 last updated on 08/Feb/25 $$\:\:\:{help},\:{please} \\ $$ Commented by mr W last updated…
Question Number 216350 by issac last updated on 05/Feb/25 $$\mathcal{S}\:\mathrm{is}\:\mathrm{the}\:\mathrm{boundary}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{surrounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{cylinder}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{9} \\ $$$$\mathrm{and}\:\mathrm{plane}\:{z}=\mathrm{0}\:,\:{z}=\mathrm{2}\:\mathrm{and} \\ $$$$\mathrm{and}\:\mathrm{vector}\:\mathrm{Field}\:\overset{\rightarrow} {\boldsymbol{\mathrm{F}}};\mathbb{R}^{\mathrm{3}} \rightarrow\mathbb{R}^{\mathrm{3}} \\ $$$$\overset{\rightarrow} {\boldsymbol{\mathrm{F}}}\left({x},{y},{z}\right)=\mathrm{3}{y}\overset{\rightarrow} {\boldsymbol{\mathrm{e}}}_{\mathrm{1}} +{yz}\overset{\rightarrow}…