Question Number 203158 by hardmath last updated on 11/Jan/24 $$\mathrm{1}.\:\mathrm{y}\:=\:\mathrm{tg}^{\mathrm{2}} \:\mathrm{x}\:\:\:\Rightarrow\:\:\:\mathrm{y}^{'} \:=\:? \\ $$$$\mathrm{2}.\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{ln}\:\left(\mathrm{1}\:+\:\mathrm{2x}\right)}{\mathrm{sin}\:\mathrm{2x}}\:=\:? \\ $$ Answered by shunmisaki007 last updated on 11/Jan/24 $$\mathrm{1}.\:\mathrm{Are}\:{t},\:{g},\:\mathrm{and}\:{x}\:\mathrm{all}\:\mathrm{variable}\:\mathrm{or}\:\mathrm{one}\:\mathrm{or}\:\mathrm{two}\:\mathrm{of}\:\mathrm{them}\:\mathrm{constant}?…
Question Number 203159 by a.lgnaoui last updated on 11/Jan/24 $$\mathrm{Q202938} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{is}}\:\mathrm{15}\: \\ $$$$\left(\boldsymbol{{Voir}}\:\boldsymbol{{reponse}}\:\boldsymbol{{develope}}\:\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 203186 by lorance last updated on 11/Jan/24 $${f}\left({x}\right)=\left\{_{\mathrm{2}\:\:\:\:\:\:\:\:{x}=\mathrm{1}} ^{\mathrm{7}\:\:\:\:\:\:\:\:{x}\neq\mathrm{1}\:\:\:\:\:} \Rightarrow\:\int_{\mathrm{0}} ^{\:\mathrm{4}} {f}\left({x}\right){dx}=?\right. \\ $$ Answered by mr W last updated on 12/Jan/24 $$\int_{\mathrm{0}}…
Question Number 203180 by Calculusboy last updated on 11/Jan/24 Answered by Rana_Ranino last updated on 11/Jan/24 $$\mathrm{using}\:\mathrm{arcsin}^{\mathrm{2}} \left(\mathrm{z}\right)=\frac{\mathrm{1}}{\mathrm{2}}\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{4}^{\mathrm{n}} \mathrm{z}^{\mathrm{2n}} }{\mathrm{n}^{\mathrm{2}} \begin{pmatrix}{\mathrm{2n}}\\{\:\mathrm{n}}\end{pmatrix}}\:\:\mathrm{take}\:\mathrm{z}=\frac{\mathrm{1}}{\mathrm{2}}\: \\ $$$$\underset{\mathrm{n}=\mathrm{1}}…
Question Number 203149 by hardmath last updated on 11/Jan/24 $$\mathrm{If}\:\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:=\:\mathrm{2} \\ $$$$\mathrm{Then}\:\:\:\sqrt{\mathrm{2a}\:+\:\mathrm{7}}\:+\:\sqrt{\mathrm{2b}\:+\:\mathrm{7}}\:\leqslant\:\mathrm{6} \\ $$ Commented by mr W last updated on 12/Jan/24 $$\underset{{a}={b}=−\mathrm{1}}…
Question Number 203151 by sonukgindia last updated on 11/Jan/24 Answered by mr W last updated on 11/Jan/24 Commented by mr W last updated on 11/Jan/24…
Question Number 203144 by mustafazaheen last updated on 11/Jan/24 $$\mathrm{when}\:\:\:\:\mathrm{f}\left(\mathrm{x}\right)=\begin{cases}{\mathrm{sinx}\:\:\:\:\:\pi<\mathrm{x}\leqslant\mathrm{2}\pi}\\{\mathrm{cosx}\:\:\:\:\:\frac{\pi}{\mathrm{2}}\leqslant\mathrm{x}\leqslant\pi}\end{cases}\:\:\:\:\:\:\:\:\mathrm{find}\:\:{f}'\left(\mathrm{2}\pi\right)=? \\ $$ Commented by mr W last updated on 13/Jan/24 $$\mathrm{f}'\left(\mathrm{2}\pi\right)\:{doesn}'{t}\:{exist},\:{since}\:{f}\left({x}\right)\:{is}\:{not} \\ $$$${defined}\:{for}\:{x}>\mathrm{2}\pi. \\ $$…
Question Number 203146 by Rasheed.Sindhi last updated on 11/Jan/24 $$\mathcal{D}{etermine}\:\overline {{ab}}\:\left({a}>{b}\right)\:{such}\:{that}\left(\:\overline {{ab}}+\overline {{ba}}\right)\: \\ $$$${and}\:\left(\overline {{ab}}−\overline {{ba}}\right)\:{are}\:{both}\:{perfect}\:{squares}. \\ $$ Answered by Frix last updated on…
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Question Number 203169 by hardmath last updated on 11/Jan/24 $$\mathrm{If}\:\:\:\mathrm{y}\:=\:\mathrm{tan} \\ $$$$\mathrm{Find}\:\:\:\mathrm{y}^{'} \:=\:? \\ $$ Answered by a.lgnaoui last updated on 11/Jan/24 $$\mathrm{y}'=\frac{\mathrm{cos}^{\mathrm{2}} +\mathrm{sin}\:^{\mathrm{2}} }{\mathrm{cos}\:^{\mathrm{2}}…