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Question-139696

Question Number 139696 by mnjuly1970 last updated on 30/Apr/21 Answered by Dwaipayan Shikari last updated on 30/Apr/21 $$\vartheta\left(\theta\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} {sin}\left({n}\theta\right)}{{n}\:} \\ $$$$\vartheta\left(\theta\right)=\frac{\mathrm{1}}{\mathrm{2}{i}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}}…

x-2-4x-x-3-

Question Number 139695 by john_santu last updated on 30/Apr/21 $$\:\mid{x}^{\mathrm{2}} −\mathrm{4}{x}\mid\:+\mid{x}\mid\:\geqslant\:\mathrm{3}\: \\ $$ Answered by MJS_new last updated on 30/Apr/21 $$\mid{x}\left({x}−\mathrm{4}\right)\mid+\mid{x}\mid=\mathrm{3} \\ $$$$\mathrm{squaring} \\ $$$${x}^{\mathrm{2}}…

Question-8618

Question Number 8618 by Rasheed Soomro last updated on 18/Oct/16 Commented by Rasheed Soomro last updated on 18/Oct/16 $$\mathrm{AD}\:\:\mathrm{and}\:\:\:\:\mathrm{CD}\:\:\mathrm{are}\:\mathrm{tangents}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{circle}.\:\angle\mathrm{ABC}\:\mathrm{is}\:\mathrm{inscibed}\:\mathrm{angle}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{arc}\:\overset{\frown} {\mathrm{ABC}}\:. \\…

2x-4x-find-x-

Question Number 139690 by hawa last updated on 30/Apr/21 $$\mathrm{2}{x}=\mathrm{4}{x}\:{find}\:{x} \\ $$ Commented by Rasheed.Sindhi last updated on 30/Apr/21 $$\mathrm{4}{x}−\mathrm{2}{x}=\mathrm{0} \\ $$$$\mathrm{2}{x}=\mathrm{0} \\ $$$${x}=\mathrm{0}/\mathrm{2}=\mathrm{0} \\…

x-3-2my-2-3-3-2mx-3y-6-1-help-me-solve-it-

Question Number 74148 by mathocean1 last updated on 19/Nov/19 $$\begin{cases}{−{x}\sqrt{\mathrm{3}}+\mathrm{2}{my}\sqrt{\mathrm{2}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}}\\{\mathrm{2}{mx}−\mathrm{3}{y}\sqrt{\mathrm{6}}=\mathrm{1}}\end{cases}\:\:\:\:\:\: \\ $$$$ \\ $$$${help}\:{me}\:{solve}\:{it}. \\ $$ Answered by MJS last updated on 19/Nov/19 $$\mathrm{2}\:\mathrm{equations}\:\mathrm{in}\:\mathrm{3}\:\mathrm{unknowns}\:\Rightarrow\:\mathrm{parametric} \\…