Question Number 198932 by necx122 last updated on 25/Oct/23 $${Find}\:{the}\:{value}\:{of}\:{m}\:{given}\:{that}\:{the} \\ $$$${roots}\:{of}\:{x}^{\mathrm{4}} −\mathrm{15}{x}^{\mathrm{3}} +\mathrm{70}{x}^{\mathrm{2}} −\mathrm{120}{x}+{m}=\mathrm{0} \\ $$$${form}\:{a}\:{geometric}\:{progression}. \\ $$ Answered by AST last updated on…
Question Number 198933 by cherokeesay last updated on 25/Oct/23 Commented by mr W last updated on 26/Oct/23 Commented by Rasheed.Sindhi last updated on 26/Oct/23 $$\mathbb{T}\boldsymbol{\mathrm{han}}\Bbbk\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{help}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{diagram}}\:\boldsymbol{\mathrm{sir}}!…
Question Number 198869 by Tawa11 last updated on 25/Oct/23 Commented by mr W last updated on 25/Oct/23 $$\mathrm{26}.\mathrm{8}\:\mathrm{cos}\:\mathrm{10}°\neq\mathrm{28}.\mathrm{2}\:\mathrm{cos}\:\mathrm{20}° \\ $$$$\Rightarrow{something}\:{in}\:{question}\:{is}\:{wrong}! \\ $$ Commented by Tawa11…
Question Number 198929 by shenwanggong last updated on 25/Oct/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198931 by necx122 last updated on 25/Oct/23 $${Find}\:{the}\:{value}\:{of}\:{t}:\: \\ $$$${t}\:=\:\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{9}}+\frac{\mathrm{3}}{\mathrm{27}}+…….+\frac{{n}}{\mathrm{3}^{{n}} }+….. \\ $$ Answered by cortano12 last updated on 26/Oct/23 $$\:\mathrm{t}=\frac{\mathrm{1}}{\mathrm{3}}\:+\frac{\mathrm{2}}{\mathrm{9}}\:+\frac{\mathrm{3}}{\mathrm{27}}\:+\ldots+\:\frac{\mathrm{n}}{\mathrm{3}^{\mathrm{n}} }\: \\…
Question Number 198860 by cherokeesay last updated on 25/Oct/23 Answered by mr W last updated on 25/Oct/23 $$\left.{D}\right)\:{is}\:{correct}. \\ $$$${the}\:{force}\:{moved}\:{the}\:{block}\:{to}\:{a}\:{height} \\ $$$${a}\:\mathrm{sin}\:\theta,\:{the}\:{work}\:{done}\:{is}\:{wa}\:\mathrm{sin}\:\theta. \\ $$$${the}\:{force}\:{pulled}\:{the}\:{spring}\:{to}\:{a}\:{length} \\…
Question Number 198862 by sonukgindia last updated on 25/Oct/23 Answered by Frix last updated on 25/Oct/23 $$\begin{vmatrix}{{a}}&{{b}}&{{c}}\\{{b}}&{{c}}&{{a}}\\{{c}}&{{a}}&{{b}}\end{vmatrix}=\mathrm{3}{abc}−\left({a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} \right)= \\ $$$$=\left({a}+{b}+{c}\right)\left({ab}+{ac}+{bc}−\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} \right)\right)=…
Question Number 198919 by necx122 last updated on 25/Oct/23 $${Find}\:{the}\:{sum}\:{of}\:{the}\:{fourth}\:{powers}\:{of} \\ $$$${the}\:{roots}\:{of}\:{equation}: \\ $$$$\mathrm{7}{x}^{\mathrm{3}} −\mathrm{21}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{2}=\mathrm{0} \\ $$ Commented by necx122 last updated on 25/Oct/23…
Question Number 198855 by mokys last updated on 25/Oct/23 $${prove}\::\:\underset{{n}\rightarrow\infty} {{lim}}\:\frac{{n}!}{{n}^{{x}} \left({n}−{x}\right)!}\:=\:\mathrm{1}\: \\ $$ Answered by witcher3 last updated on 25/Oct/23 $$\frac{\Gamma\left(\mathrm{n}+\mathrm{1}\right)}{\Gamma\left(\mathrm{n}+\mathrm{1}−\mathrm{x}\right)\mathrm{n}^{\mathrm{x}} } \\ $$$$\Gamma\left(\mathrm{z}\right)=\sqrt{\mathrm{2}\pi}.\mathrm{z}^{\mathrm{z}−\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 198913 by mr W last updated on 25/Oct/23 Commented by mr W last updated on 25/Oct/23 $${find}\:\theta\:{in}\:{terms}\:{of}\:{a},\:{b},\:{c}. \\ $$ Answered by ajfour last…