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Question Number 140050 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\:{prove}\:\:{that}:: \\ $$$$\:\:\:\:\:\:\:\phi\::={lim}_{{n}\rightarrow\infty} \frac{{n}}{\:\sqrt{\mathrm{2}{k}}}\:.\sqrt{\mathrm{1}−{cos}^{{k}} \left(\frac{\mathrm{2}\pi}{{n}}\right)}\:=\pi \\ $$$$\:\:\:\:\:\:\:\:……………. \\ $$$$ \\ $$ Answered by Kamel last updated…
Question Number 74513 by mathmax by abdo last updated on 25/Nov/19 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{d}\theta}{{x}^{\mathrm{2}} −\mathrm{2}{xsin}\left(\mathrm{2}\theta\right)+\mathrm{1}}\:\:\left({x}\:{real}\right) \\ $$ Commented by mathmax by abdo last updated on…
Question Number 74508 by isra.pm07nov@gmail.com last updated on 25/Nov/19 $${li}=\overset{−} {{x}}−{t}_{{v}} ,\frac{\alpha}{\mathrm{2}}.\left(\frac{{s}}{\:\sqrt{{n}}}\right) \\ $$$${ls}=\overset{−} {{x}}+{t}_{{v}} ,\frac{\alpha}{\mathrm{2}}.\left(\frac{{s}}{\:\sqrt{{n}}}\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 8973 by tekviah munandi last updated on 09/Nov/16 $${given}\:{that}\:{x}\:{and}\:{y}\:{are}\:{samples}\: \\ $$$${of}\:{random}\:{variable}\:{drawn}\:{from}\:{a}\: \\ $$$${population}\:{that}\:{is}\:{normally}\:{distributed} \\ $$$${find}\:{the}\:{joint}\:{distribution}\:{of}\:{x}\:{and}\:{y}.\: \\ $$$${if}\:{x}\:{and}\:{y}\:{are}\:{independent}\:{find}\:{the} \\ $$$${marginal}\:{distributions}. \\ $$ Terms of…
Question Number 140046 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\:\:\:\:\:………..\:{nice}\:…….{calculus}\left({I}\right)\:…….. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Theta\::={lim}_{\:{x}\rightarrow\:\frac{\pi}{\mathrm{4}}} \:\left(\:{tan}\left({x}\right)\:\right)^{\:{tan}\left(\mathrm{2}{x}\right)} \:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…………………………. \\ $$$$ \\ $$ Commented by mnjuly1970 last updated…
Question Number 74509 by ajfour last updated on 25/Nov/19 Commented by ajfour last updated on 25/Nov/19 $${Find}\:{the}\:{radius}\:{of}\:{circle}.\:\bigtriangleup{ABC} \\ $$$${is}\:{equilateral}\:{with}\:{side}\:{unity}. \\ $$ Commented by ajfour last…
Question Number 8972 by tawakalitu last updated on 09/Nov/16 $$\mathrm{A}\:\mathrm{cylindrical}\:\mathrm{can}\:\mathrm{of}\:\mathrm{internal}\:\mathrm{diameter}\:\mathrm{8cm} \\ $$$$\mathrm{contains}\:\mathrm{water}\:\mathrm{to}\:\mathrm{a}\:\mathrm{deep}\:\mathrm{of}\:\mathrm{6cm}.\:\mathrm{24000}\:\mathrm{heavy} \\ $$$$\mathrm{spherical}\:\mathrm{pullet}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{2mm}\:\mathrm{are}\:\mathrm{dropped} \\ $$$$\mathrm{into}\:\mathrm{the}\:\mathrm{can}.\:\mathrm{how}\:\mathrm{far}\:\mathrm{does}\:\mathrm{the}\:\mathrm{water}\:\mathrm{level}\:\mathrm{rise}\:? \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 140040 by bobhans last updated on 03/May/21 $$\:\sqrt[{\mathrm{3}}]{\mathrm{45}+\mathrm{29}\sqrt{\mathrm{2}}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}}\:=?\: \\ $$ Answered by cherokeesay last updated on 05/May/21 $${U}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}}\:\:\:\:\:{V}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}} \\ $$$${U}^{\:\mathrm{3}} \:=\:\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}\:\:\:\:{V}^{\:\mathrm{3}} \:=\:\mathrm{45}\:−\mathrm{29}\sqrt{\mathrm{2}}\:\: \\…
Question Number 8969 by lsaBELA last updated on 08/Nov/16 $${ls} \\ $$ Commented by 123456 last updated on 08/Nov/16 $$\mathrm{R}^{\mathrm{3}} \\ $$$${m}=\left\{\right\} \\ $$$$\mathrm{1}\leqslant{i}\leqslant{a};{m}\left[{i}\right]=\left\{\right\} \\…