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 $$\mathrm{y}'=\frac{\mathrm{cos}^{\mathrm{2}} +\mathrm{sin}\:^{\mathrm{2}} }{\mathrm{cos}\:^{\mathrm{2}}…
Question Number 203171 by a.lgnaoui last updated on 11/Jan/24 $$\mathrm{Ratio}\:\mathrm{of}\:\mathrm{green}\:\mathrm{blue}\:\mathrm{and}\:\mathrm{Red}\:\mathrm{triangles}? \\ $$$$\mathrm{Evaluate}\:\mathrm{these}\:\mathrm{Area}\:\mathrm{for}\:\boldsymbol{\alpha}=\mathrm{25}°\:\:\mathrm{and} \\ $$$$\mathrm{length}\:\mathrm{of}\:\mathrm{aquart}=\mathrm{1} \\ $$ Commented by a.lgnaoui last updated on 11/Jan/24 Commented by…
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Question Number 203115 by Mathstar last updated on 10/Jan/24 Commented by Mathstar last updated on 10/Jan/24 $$\mathrm{Send}\:\mathrm{an}\:\mathrm{explanatory}\:\mathrm{solution},\:\mathrm{thank}\:\mathrm{you} \\ $$ Answered by mr W last updated…