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Author: Tinku Tara

Question-73113

Question Number 73113 by TawaTawa last updated on 06/Nov/19 Commented by mathmax by abdo last updated on 06/Nov/19 $$\left.\mathrm{1}\right)\:{we}\:{have}\:{arg}\left({z}\right)={arg}\left(\mathrm{7}−\mathrm{3}\sqrt{\mathrm{3}}{i}\right)+{arg}\left(−\mathrm{1}−{i}\right)\left[\mathrm{2}\pi\right] \\ $$$$\mid\mathrm{7}−\mathrm{3}\sqrt{\mathrm{3}}\mid\:=\sqrt{\mathrm{49}+\mathrm{27}}=\sqrt{\mathrm{76}}\:\Rightarrow\mathrm{7}−\mathrm{3}\sqrt{\mathrm{3}}=\sqrt{\mathrm{76}}{e}^{{iarctan}\left(\frac{−\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{7}}\right)} \:\Rightarrow \\ $$$${arg}\left(\mathrm{7}−\mathrm{3}\sqrt{\mathrm{3}}\right)\:=−{arctan}\left(\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{7}}\right) \\…

Question-138641

Question Number 138641 by soudo last updated on 15/Apr/21 Answered by MJS_new last updated on 16/Apr/21 $$\left.\mathrm{f}\left.\mathrm{rom}\:\mathrm{1}\right)\:\Rightarrow\:\mathrm{2}\right) \\ $$$${x}^{\mathrm{2}} \pm{xy}+{y}^{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{2}}\left({x}^{\mathrm{2}} +{x}^{\mathrm{2}} \pm\mathrm{2}{xy}+{y}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)=…

U-n-2-3-5-6-7-8-10-11-12-13-14-find-U-n-

Question Number 7562 by Master Moon last updated on 03/Sep/16 $$\left({U}_{{n}} \right)=\:\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{10},\mathrm{11},\mathrm{12},\mathrm{13},\mathrm{14},…. \\ $$$${find}\:{U}_{{n}} \\ $$ Commented by Rasheed Soomro last updated on 03/Sep/16 $${Perfect}\:{square}\:{numbers}\:{have}\:\:{been}\:{excluded}\:{from}…

Question-138631

Question Number 138631 by physicstutes last updated on 15/Apr/21 Commented by physicstutes last updated on 15/Apr/21 $$\mathrm{From}\:\mathrm{the}\:\mathrm{figure}\:\mathrm{above}\:\mathrm{show}\:\mathrm{completely}\:\mathrm{how}\:\mathrm{the}\:\mathrm{force}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{pulley}\:\mathrm{can}\:\mathrm{be}\:\mathrm{obtained}. \\ $$ Commented by Dwaipayan Shikari…