Question Number 140978 by Mathspace last updated on 14/May/21 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{1}}{\left({n}!\right)^{\mathrm{2}} } \\ $$ Answered by Dwaipayan Shikari last updated on 14/May/21 $$\underset{{n}=\mathrm{0}} {\overset{\infty}…
Question Number 140973 by EnterUsername last updated on 14/May/21 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{2x}^{\mathrm{2}} +{a}\mathrm{x}+{b}=\mathrm{0}, \\ $$$$\mathrm{then}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{2}\left(\alpha\mathrm{x}+\beta\right)^{\mathrm{2}} + \\ $$$${a}\left(\alpha\mathrm{x}+\beta\right)+{b}=\mathrm{0}\:\mathrm{is} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:\frac{\alpha+\mathrm{2}{b}}{\alpha^{\mathrm{2}} } \\ $$$$\left(\mathrm{C}\right)\:\frac{{a}\alpha+{b}}{\mathrm{2}\alpha^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\frac{{a}\alpha−\mathrm{2}{b}}{\mathrm{2}\alpha^{\mathrm{2}} } \\ $$…
Question Number 75439 by otchereabdullai@gmail.com last updated on 11/Dec/19 $$\mathrm{A}\:\mathrm{man}\:\mathrm{left}\:\mathrm{his}\:\mathrm{office}\:\mathrm{in}\:\mathrm{a}\:\mathrm{car}\:\mathrm{at}\:\mathrm{10am} \\ $$$$\mathrm{to}\:\mathrm{restaurant}\:\mathrm{30km}\:\mathrm{away}.\:\mathrm{He}\:\mathrm{expected} \\ $$$$\mathrm{to}\:\mathrm{arrive}\:\mathrm{at}\:\mathrm{11}:\mathrm{10am}\:\mathrm{but}\:\mathrm{had}\:\mathrm{to}\:\mathrm{stop}\: \\ $$$$\mathrm{15km}\:\mathrm{from}\:\mathrm{the}\:\mathrm{office}\:\mathrm{for}\:\mathrm{15}\:\mathrm{minutes}\:. \\ $$$$\mathrm{He}\:\mathrm{arrived}\:\mathrm{at}\:\mathrm{the}\:\mathrm{restaurant}\:\mathrm{5}\:\mathrm{minutes}\: \\ $$$$\mathrm{late}. \\ $$$$\mathrm{a}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{initial}\:\mathrm{speed} \\ $$$$\mathrm{b}.\:\mathrm{Draw}\:\mathrm{a}\:\mathrm{travel}\:\mathrm{graph}\:\mathrm{for}\:\mathrm{the}\:\mathrm{whole}\:\mathrm{journey} \\…
Question Number 9902 by sahidraja786md@gmail.com last updated on 14/Jan/17 $${x}+\mathrm{3}{y}=\mathrm{6}, \\ $$$$\mathrm{2}{x}−\mathrm{3}{y}=\mathrm{12} \\ $$ Answered by ridwan balatif last updated on 14/Jan/17 $$\mathrm{x}+\mathrm{3y}=\mathrm{6} \\ $$$$\mathrm{2x}−\mathrm{3y}=\mathrm{12}…
Question Number 140974 by EnterUsername last updated on 14/May/21 $$\mathrm{If}\:\mathrm{the}\:\mathrm{equations}\:\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+{a}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}^{\mathrm{2}} +{a}\mathrm{x}−\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root},\:\mathrm{then}\:\mathrm{a}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:{a}\:\mathrm{is} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{C}\right)\:−\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\mathrm{2} \\ $$ Commented by mohammad17 last updated on 14/May/21…
Question Number 75437 by Master last updated on 11/Dec/19 Commented by Master last updated on 11/Dec/19 $$\mathrm{sir}\:\boldsymbol{\mathrm{mind}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{power}}\:\:\mathrm{please}\: \\ $$ Commented by Master last updated on…
Question Number 140969 by EnterUsername last updated on 14/May/21 $$\mathrm{The}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{2}} −\left({m}−\mathrm{3}\right)\mathrm{x}+{m}=\mathrm{0}\:\mathrm{are} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{exactly}\:\mathrm{one}\:\mathrm{of}\:\mathrm{them}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{interval} \\ $$$$\left(\mathrm{1},\:\mathrm{2}\right).\:\mathrm{Then} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{5}<{m}<\mathrm{7}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:{m}<\mathrm{10} \\ $$$$\left(\mathrm{C}\right)\:\mathrm{2}<{m}<\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:{m}>\mathrm{10} \\ $$ Terms of Service Privacy…
Question Number 75435 by Crabby89p13 last updated on 11/Dec/19 $${solve}\:{the}\:{integral}\:{with}\:{Residue}\:{theorem}. \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\int}}\frac{\mathrm{3}\:{d}\theta}{\mathrm{9}\:+\mathrm{sin}^{\mathrm{2}} \theta} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 140971 by bekzodjumayev last updated on 14/May/21 Commented by bekzodjumayev last updated on 14/May/21 $${Please}\:{help}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 9896 by caleb last updated on 13/Jan/17 $${l}^{−\mathrm{1}} \left\{\frac{\mathrm{5}{s}^{\mathrm{2}} −\mathrm{21}{s}+\mathrm{30}}{\left({s}−\mathrm{3}\right)\left({s}^{\mathrm{2}} +\mathrm{4}\right)}\right\}\:\:\:{pls}\:{help}\:{solve}\:{this} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com