Question Number 208093 by depressiveshrek last updated on 04/Jun/24 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{{n}}\left(\left({a}+\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} +\left({a}+\frac{\mathrm{2}}{{n}}\right)^{\mathrm{2}} +…+\left({a}+\frac{{n}−\mathrm{1}}{{n}}\right)^{\mathrm{2}} \right) \\ $$ Answered by MM42 last updated on 04/Jun/24 $$={lim}_{{n}\rightarrow\infty} \frac{\mathrm{1}}{{n}}\underset{{i}=\mathrm{1}}…
Question Number 208090 by efronzo1 last updated on 04/Jun/24 $$\:\:\:\underline{\:} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 208091 by Brishavelosoa last updated on 04/Jun/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 208075 by hardmath last updated on 04/Jun/24 $$\mathrm{Find}:\:\:\:\int\:\mathrm{sin}\:\left(\mathrm{2x}\:−\:\frac{\pi}{\mathrm{4}}\right)\:=\:? \\ $$ Answered by TonyCWX08 last updated on 04/Jun/24 $${sin}\left(\mathrm{2}{x}−\frac{\pi}{\mathrm{4}}\right) \\ $$$$={sin}\left(\mathrm{2}{x}\right){cos}\left(\frac{\pi}{\mathrm{4}}\right)−{sin}\left(\frac{\pi}{\mathrm{4}}\right){cos}\left(\mathrm{2}{x}\right) \\ $$$$=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\left({sin}\left(\mathrm{2}{x}\right)−{cos}\left(\mathrm{2}{x}\right)\right) \\…
Question Number 208083 by nachosam last updated on 04/Jun/24 $$\int_{\left[\mathrm{0},\infty\right]} \left(\frac{\mathrm{1}}{{x}}\right)^{{ln}\left({x}\right)} {dx} \\ $$$$ \\ $$ Answered by Saiki last updated on 04/Jun/24 Answered by…
Question Number 208045 by mathkun last updated on 03/Jun/24 $$\mathrm{can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{how}\:\mathrm{can}\:\mathrm{i}\:\mathrm{write}\:\mathrm{limit}\:\underline{\boldsymbol{\mathrm{Z}}}\underbrace{ _{} }\mathrm{in}\:\mathrm{the}\:\mathrm{menu}. \\ $$$$ \\ $$ Commented by Tinku Tara last updated on 03/Jun/24 https://static.tinkutara.com/equationeditorhelp.html Just view 5 minute tutorial video (video does not have any audio)…
Question Number 208062 by mathzup last updated on 03/Jun/24 $${find}\:\:\int_{\mathrm{4}} ^{\infty} \:\:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{3}\right)^{\mathrm{5}} } \\ $$ Answered by Frix last updated on 03/Jun/24 $$\mathrm{Use}\:\mathrm{Ostrogradski}'\mathrm{s}\:\mathrm{Method}\:\left(\mathrm{search}\:\mathrm{it}\:\mathrm{on}\right. \\…
Question Number 208063 by hardmath last updated on 03/Jun/24 $$\begin{cases}{\mathrm{x}\:+\:\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{y}\:=\:\mathrm{5}}\\{\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{x}\:+\:\mathrm{y}\:=\:\mathrm{11}}\end{cases}\:\:\:\:\:\Rightarrow\:\:\mathrm{x}\:+\:\mathrm{y}\:=\:? \\ $$ Answered by A5T last updated on 03/Jun/24 $${x}+{y}+\frac{\mathrm{3}}{\mathrm{5}}\left({x}+{y}\right)=\mathrm{16}=\frac{\mathrm{8}\left({x}+{y}\right)}{\mathrm{5}}\Rightarrow{x}+{y}=\mathrm{10} \\ $$ Terms of Service…
Question Number 208052 by necx122 last updated on 03/Jun/24 $${Sketch}\:{the}\:{curve}\:{y}\:=\:{x}^{\mathrm{3}} . \\ $$$$\left({a}\right)\:{Find}\:{the}\:{equation}\:{of}\:{the}\:{tangent} \\ $$$${to}\:{the}\:{curve}\:{at}\:{A}\left(\mathrm{1},\mathrm{1}\right). \\ $$$$\left({b}\right)\:{Find}\:{the}\:{coordinates}\:{of}\:{point}\:{B}, \\ $$$${where}\:{the}\:{tangent}\:{meets}\:{the}\:{curve}\:{again}. \\ $$$$\left({c}\right)\:{Calculate}\:{the}\:{area}\:{between}\:{the} \\ $$$${tangent}\:{B}\:{and}\:{the}\:{arc}\:{AB}\:{of}\:{the}\:{curve}. \\ $$…
Question Number 208069 by Davidtim last updated on 03/Jun/24 $${F}_{\mathrm{1}} =\mathrm{4}{N},\:\:\:{F}_{\mathrm{2}} =\mathrm{5}{N},\:\:\:{R}=\mathrm{8}.\mathrm{32}{N} \\ $$$$\theta=? \\ $$ Commented by mr W last updated on 03/Jun/24 $$\theta=\mathrm{180}°−\mathrm{cos}^{−\mathrm{1}}…