Question Number 9792 by Basant007 last updated on 04/Jan/17 $$\mathrm{If}\:\mathrm{one}\:\mathrm{zero}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{polynomial} \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{7x}\:+\mathrm{k}\:\mathrm{is}\:\mathrm{2}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{k} \\ $$ Answered by RasheedSoomro last updated on 05/Jan/17 $$\mathrm{If}\:\mathrm{one}\:\mathrm{zero}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{polynomial} \\ $$$$\mathrm{x}^{\mathrm{2}}…
Question Number 75327 by TawaTawa last updated on 09/Dec/19 $$\mathrm{If}\:\:\:\:\:\mathrm{T}_{\mathrm{n}\:+\:\mathrm{1}} \:\:\:=\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{T}_{\mathrm{n}} \\ $$$$\mathrm{Find}\:\mathrm{a}\:\mathrm{formular}\:\mathrm{for}\:\:\mathrm{T}_{\mathrm{n}} \:\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\:\mathrm{n} \\ $$$$\mathrm{and}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{n}\:\mathrm{terms} \\ $$ Commented by malwaan last updated on 11/Dec/19…
Question Number 9790 by tawakalitu last updated on 04/Jan/17 $$\mathrm{prove}\:\mathrm{by}\:\mathrm{mathematical}\:\mathrm{induction} \\ $$$$\mathrm{n}!\:\leqslant\:\mathrm{n}^{\mathrm{n}} \\ $$ Commented by FilupSmith last updated on 04/Jan/17 $${n}=\mathrm{1} \\ $$$$\mathrm{1}!\leqslant\mathrm{1}^{\mathrm{1}} \\…
Question Number 140863 by mathdanisur last updated on 13/May/21 $$\mathrm{1}+\sqrt{\mathrm{3}^{\boldsymbol{{a}}} }\:=\:\mathrm{2}\sqrt{\mathrm{2}^{\boldsymbol{{a}}} } \\ $$ Commented by mr W last updated on 13/May/21 $${a}=\mathrm{0}\:{or}\:\mathrm{2} \\ $$…
Question Number 75325 by TawaTawa last updated on 09/Dec/19 Answered by MJS last updated on 10/Dec/19 $${z}_{{A}} =\frac{\mathrm{500}−\mathrm{524}.\mathrm{66}}{\mathrm{15}.\mathrm{01}}\approx−\mathrm{1}.\mathrm{643} \\ $$$${z}_{{B}} =\frac{\mathrm{500}−\mathrm{528}.\mathrm{21}}{\mathrm{15}.\mathrm{01}}\approx−\mathrm{1}.\mathrm{879} \\ $$$$\mathrm{1}−\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}\pi}}\underset{{z}_{{A}} } {\overset{\infty}…
Question Number 75321 by zakaria elghaouti last updated on 09/Dec/19 $$ \\ $$$$\: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{l}\boldsymbol{\mathrm{im}}}\:\sqrt[{\boldsymbol{{n}}\left(\boldsymbol{{n}}+\mathrm{1}\right)}]{\underset{\boldsymbol{{k}}=\mathrm{0}} {\overset{\boldsymbol{{n}}} {\boldsymbol{\prod}}}\begin{pmatrix}{\boldsymbol{{n}}}\\{\boldsymbol{{k}}}\end{pmatrix}} \\ $$ Terms of Service Privacy Policy…
Question Number 9784 by FilupSmith last updated on 04/Jan/17 $$\mathrm{For}\:\left({x}+{y}\right)^{{n}} :{n}\in\mathbb{Z} \\ $$$$\left({x}+{y}\right)^{{n}} =\underset{{u}=\mathrm{0}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{u}}\end{pmatrix}\:{x}^{{n}−{u}} {y}^{{n}} \\ $$$$\: \\ $$$$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{generalization}\:\mathrm{for}\:\mathrm{when} \\ $$$${n}\:\mathrm{is}\:\mathrm{non}\:\mathrm{integer}? \\ $$$$\:…
Question Number 75318 by Rio Michael last updated on 09/Dec/19 Commented by Rio Michael last updated on 09/Dec/19 $${Dear}\:{members}\:{of}\:{this}\:{forum},\:{i}\:{wish}\:{to}\:{publish}\:{this}\:{piece}\:{of} \\ $$$${work}\:{as}\:{a}\:{PDF}\:{document}\:{on}\:{the}\:{web} \\ $$$${to}\:{help}\:{most}\:{of}\:{my}\:{friends} \\ $$$${with}\:{the}\:{concept}\:{of}\:{Number}\:{Theory}…
Question Number 75319 by Rio Michael last updated on 09/Dec/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9782 by tawakalitu last updated on 03/Jan/17 $$\int\:\:\frac{\mathrm{sin}^{\mathrm{4}} \left(\mathrm{x}\right)}{\mathrm{sin}^{\mathrm{3}} \left(\mathrm{x}\right)\:+\:\mathrm{cos}^{\mathrm{4}} \left(\mathrm{x}\right)}\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com