Question Number 108787 by 150505R last updated on 19/Aug/20 Answered by Dwaipayan Shikari last updated on 19/Aug/20 $$\mathrm{1}−\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{8}{n}−\mathrm{1}}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{8}{n}+\mathrm{1}} \\ $$$$\mathrm{1}+\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 108766 by bemath last updated on 19/Aug/20 $$\:\:\:\frac{\mathcal{B}{e}\mathcal{M}{ath}}{\bigstar} \\ $$$$\left(\mathrm{1}\right)\:{find}\:{the}\:{equation}\:{of}\:{the}\:{tangent}\:{line}\:{to} \\ $$$${the}\:{graph}\:{of}\:{the}\:{equation}\:\mathrm{sin}^{−\mathrm{1}} \left({x}\right)+\mathrm{cos}^{−\mathrm{1}} \left({y}\right)=\frac{\pi}{\mathrm{2}} \\ $$$${at}\:{given}\:{point}\:\left(\frac{\sqrt{\mathrm{2}}}{\mathrm{2}},\:\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right) \\ $$$$\left(\mathrm{2}\right){If}\:{f}\left({x}\right)=\:\underset{{t}\rightarrow{x}} {\mathrm{lim}}\:\frac{\mathrm{sec}\:{t}−\mathrm{sec}\:{x}}{{t}−{x}}\:,\:{find}\:{the}\:{value}\:{of}\: \\ $$$${f}\:'\left(\frac{\pi}{\mathrm{4}}\right) \\ $$$$\left(\mathrm{3}\right)\:\underset{{x}\rightarrow\mathrm{1}}…
Question Number 174292 by akolade last updated on 29/Jul/22 $$\frac{\mathrm{log}\left(\sqrt{\mathrm{x}+\mathrm{1}}+\mathrm{1}\right)}{\mathrm{log}^{\mathrm{3}} \sqrt{\mathrm{x}−\mathrm{40}}}=\mathrm{3} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Answered by Rasheed.Sindhi last updated on 29/Jul/22 $$\frac{\mathrm{log}\left(\sqrt{\mathrm{x}+\mathrm{1}}+\mathrm{1}\right)}{\mathrm{log}^{\mathrm{3}} \sqrt{\mathrm{x}−\mathrm{40}}}=\mathrm{3} \\…
Question Number 174291 by akolade last updated on 29/Jul/22 $$\mathrm{Find} \\ $$$$\frac{\mathrm{x}}{\mathrm{y}}+\frac{\mathrm{y}}{\mathrm{x}} \\ $$$$\mathrm{if}\:\mathrm{log}\left(\frac{\mathrm{x}+\mathrm{y}}{\mathrm{3}}\right)=\frac{\mathrm{logx}+\mathrm{logy}}{\mathrm{2}} \\ $$ Answered by Rasheed.Sindhi last updated on 29/Jul/22 $$\mathrm{log}\left(\frac{\mathrm{x}+\mathrm{y}}{\mathrm{3}}\right)=\frac{\mathrm{logx}+\mathrm{logy}}{\mathrm{2}}\:;\:\frac{\mathrm{x}}{\mathrm{y}}+\frac{\mathrm{y}}{\mathrm{x}}=? \\…
Question Number 108728 by mathdave last updated on 18/Aug/20 Answered by abdomsup last updated on 18/Aug/20 $${thank}\:{you}\:{sir}\:{i}\:{hope}\:{that}\:{the}\: \\ $$$${formulae}\:{is}\:{correct} \\ $$ Commented by mathdave last…
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Question Number 174250 by Beginner last updated on 27/Jul/22 Commented by Beginner last updated on 28/Jul/22 $${r}^{\mathrm{2}} =\mathrm{81}−{h}^{\mathrm{2}} \\ $$$${V}=\mathrm{1}/\mathrm{3}\pi{r}^{\mathrm{2}} {h} \\ $$$${V}=\pi{h}/\mathrm{3}\left(\mathrm{81}−{h}^{\mathrm{2}} \right) \\…
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Question Number 108680 by mathdave last updated on 18/Aug/20 Commented by abdomsup last updated on 18/Aug/20 $${the}\:{last}\:{formula}\:{need}\:{a}\:{proof} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 108678 by Rasikh last updated on 18/Aug/20 Answered by abdomsup last updated on 18/Aug/20 $${dont}\:{exist}\:\:{let}\:{x}_{{n}} =\left(\frac{\mathrm{1}}{{n}}\right)^{{i}} \\ $$$${lim}_{{n}\rightarrow+\infty} {x}_{{n}} \:\:={o}^{{i}} \:\:{but} \\ $$$${x}_{{n}}…