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Author: Tinku Tara

calculate-the-symmetrical-components-V-a0-V-a1-V-a2-and-V-b0-V-b1-V-b2-of-the-unbalanced-three-phase-system-with-V-a-90-90-V-b-117-0-V-c-81-225-

Question Number 198973 by Humble last updated on 26/Oct/23 $$\mathrm{calculate}\:\mathrm{the}\:\:\mathrm{symmetrical}\: \\ $$$$\mathrm{components}.\mathrm{V}_{\mathrm{a0}} \:,\mathrm{V}_{\mathrm{a1}} ,\mathrm{V}_{\mathrm{a2}} \:\:\mathrm{and}\:\mathrm{V}_{\mathrm{b0}} , \\ $$$$\mathrm{V}_{\mathrm{b1}} \:,\mathrm{V}_{\mathrm{b2}} \:\:\mathrm{of}\:\mathrm{the}\:\mathrm{unbalanced} \\ $$$$\mathrm{three}-\mathrm{phase}\:\mathrm{system}.\:\mathrm{with} \\ $$$$\:\mathrm{V}_{\mathrm{a}} =\mathrm{90}\angle\mathrm{90}°\:,\:\mathrm{V}_{\mathrm{b}}…

60-students-of-a-school-must-take-at-least-one-of-the-three-courses-for-mathematics-physics-and-chemistry-respectively-if-a-student-is-randomly-picked-what-is-the-probability-that-he-she-takes-only

Question Number 198975 by mr W last updated on 26/Oct/23 $$\mathrm{60}\:{students}\:{of}\:{a}\:{school}\:{must}\:{take} \\ $$$${at}\:{least}\:{one}\:{of}\:{the}\:{three}\:{courses}\:{for} \\ $$$${mathematics},\:{physics}\:{and}\:{chemistry} \\ $$$${respectively}. \\ $$$${if}\:{a}\:{student}\:{is}\:{randomly}\:{picked},\:{what} \\ $$$${is}\:{the}\:{probability}\:{that}\:{he}/{she}\:{takes} \\ $$$${only}\:{one}\:{course}? \\ $$…

Find-the-polynomial-with-roots-that-exceed-the-roots-of-f-x-3x-3-14x-2-x-62-0-by-3-Hence-determine-the-value-of-1-a-3-1-b-3-1-c-3-where-a-b-and-c-are-roots-

Question Number 198968 by necx122 last updated on 26/Oct/23 $${Find}\:{the}\:{polynomial}\:{with}\:{roots}\:{that} \\ $$$${exceed}\:{the}\:{roots}\:{of}\: \\ $$$${f}\left({x}\right)=\mathrm{3}{x}^{\mathrm{3}} −\mathrm{14}{x}^{\mathrm{2}} +{x}+\mathrm{62}=\mathrm{0}\:{by}\:\mathrm{3}.\:{Hence} \\ $$$${determine}\:{the}\:{value}\:{of}\:\frac{\mathrm{1}}{{a}+\mathrm{3}}+\frac{\mathrm{1}}{{b}+\mathrm{3}}+\frac{\mathrm{1}}{{c}+\mathrm{3}}, \\ $$$${where}\:{a},{b}\:{and}\:{c}\:{are}\:{roots}. \\ $$ Answered by Rasheed.Sindhi…

lim-x-0-sin-3x-tan-6x-

Question Number 198952 by ArifinTanjung last updated on 26/Oct/23 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{3x}}{\mathrm{tan}\:\mathrm{6x}}\:=\:….? \\ $$ Answered by Mathspace last updated on 26/Oct/23 $${lim}=\frac{\mathrm{3}}{\mathrm{6}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\left({sin}\left(\mathrm{3}{x}\right)\sim\mathrm{3}{x}\:{and}\:{tan}\left(\mathrm{6}{x}\right)\sim\mathrm{6}{x}\right) \\ $$…

f-x-3x-5-2x-1-f-x-

Question Number 198953 by ArifinTanjung last updated on 26/Oct/23 $$\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{3x}−\mathrm{5}}{\mathrm{2x}+\mathrm{1}}\:\rightarrow\mathrm{f}^{'} \left(\mathrm{x}\right)=….? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Oct/23 $$\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{3x}−\mathrm{5}}{\mathrm{2x}+\mathrm{1}}\:\rightarrow\mathrm{f}^{'} \left(\mathrm{x}\right)=….? \\ $$$$\left(\frac{{u}}{{v}}\right)^{'} =\frac{{v}\:{u}'−{u}\:{v}'}{{v}^{\mathrm{2}}…

Convert-this-decimal-number-to-praction-number-1-0-3333-2-2-1111-3-0-1313-

Question Number 198954 by ArifinTanjung last updated on 26/Oct/23 $$\:\mathrm{Convert}\:\mathrm{this}\:\mathrm{decimal}\:\mathrm{number}\:\mathrm{to}\: \\ $$$$\:\:\mathrm{praction}\:\mathrm{number} \\ $$$$\mathrm{1}.\:\mathrm{0}.\mathrm{3333}…\:=… \\ $$$$\mathrm{2}.\:\:\mathrm{2}.\mathrm{1111}…=… \\ $$$$\mathrm{3}.\:\mathrm{0}.\mathrm{1313}….=… \\ $$ Answered by Rasheed.Sindhi last updated…