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Author: Tinku Tara

evalute-the-value-of-m-2-5-m-4-

Question Number 9279 by j.masanja06@gmail.com last updated on 28/Nov/16 $$\mathrm{evalute}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\overset{\mathrm{5}} {\sum}_{\mathrm{m}=\mathrm{2}\:} \mathrm{m}^{\mathrm{4}} \\ $$ Answered by mrW last updated on 28/Nov/16 $$\mathrm{please}\:\mathrm{refer}\:\mathrm{to}\:\mathrm{Q9232}\:\mathrm{and}\:\mathrm{Q9265}. \\…

represent-in-sigma-notation-1-4-9-16-

Question Number 9278 by j.masanja06@gmail.com last updated on 28/Nov/16 $$\mathrm{represent}\:\mathrm{in}\:\mathrm{sigma}\:\mathrm{notation}\: \\ $$$$−\mathrm{1}+\mathrm{4}−\mathrm{9}+\mathrm{16}……………… \\ $$ Commented by FilupSmith last updated on 28/Nov/16 $$=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} {n}^{\mathrm{2}}…

About-the-Euler-Mascheroni-Constant-0-1-1-1-x-1-ln-x-dx-We-can-see-that-1-x-0-1-x-x-0-ln-x-If-x-0-and-x-1-in-the-Cartesian-Plane-this-fun

Question Number 9275 by geovane10math last updated on 27/Nov/16 $$\mathrm{About}\:\mathrm{the}\:\mathrm{Euler}-\mathrm{Mascheroni}\:\mathrm{Constant}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\gamma\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\mathrm{1}\:−\:{x}}\:+\:\frac{\mathrm{1}}{\mathrm{ln}\:{x}}\:{dx} \\ $$$$\mathrm{We}\:\mathrm{can}\:\mathrm{see}\:\mathrm{that}\: \\ $$$$\:\mathrm{1}−\:{x}\:\neq\:\mathrm{0}\:\Leftrightarrow\:\mathrm{1}\:\neq\:{x}\:; \\ $$$${x}\:=\:\mathrm{0}\:\rightarrow\:\mathrm{ln}\:{x}\:\nexists\:. \\ $$$$\mathrm{If}\:{x}\:\neq\:\mathrm{0}\:\mathrm{and}\:{x}\:\neq\:\mathrm{1},\:\mathrm{in}\:\mathrm{the}\:\mathrm{Cartesian}\:\mathrm{Plane}, \\ $$$$\mathrm{this}\:\mathrm{function}\:\mathrm{has}\:\mathrm{singularity}\:{x}=\mathrm{0}\:{and}\:{x}=\mathrm{1}. \\…

it-is-assumed-that-when-children-are-born-they-are-equally-likely-to-be-boys-or-girls-what-is-the-probability-that-a-family-of-four-children-constains-a-three-boys-and-girl-b-two-boys-and-two-girl

Question Number 140344 by mathdave last updated on 06/May/21 $${it}\:{is}\:{assumed}\:{that}\:{when}\:{children}\:{are}\:{born}\:{they}\: \\ $$$${are}\:{equally}\:{likely}\:{to}\:{be}\:{boys}\:{or}\:{girls}. \\ $$$${what}\:{is}\:{the}\:{probability}\:{that}\:{a}\:{family} \\ $$$${of}\:{four}\:{children}\:{constains} \\ $$$$\left({a}\right){three}\:{boys}\:{and}\:{girl} \\ $$$$\left({b}\right){two}\:{boys}\:{and}\:{two}\:{girls} \\ $$$$\:{Mr}\:{W}\:{pls}\:{help}\:{out} \\ $$ Answered…

if-x-gt-4-5-x-z-find-x-z-

Question Number 140346 by mathsuji last updated on 06/May/21 $${if},\:{x}>\mathrm{4}\:;\:\mathrm{5}!\centerdot{x}!={z}!\:;\:{find}:\:{x}+{z}=? \\ $$ Answered by hknkrc46 last updated on 06/May/21 $$\mathrm{5}!\:=\:\frac{\boldsymbol{{z}}!}{\boldsymbol{{x}}!}\:\Rightarrow\:\begin{cases}{\boldsymbol{{x}}\:=\:\mathrm{5}!\:−\:\mathrm{1}\:\Rightarrow\:\boldsymbol{{z}}\:=\:\mathrm{120}}\\{\boldsymbol{{x}}\:+\:\boldsymbol{{z}}\:=\:\mathrm{119}\:+\:\mathrm{120}\:=\:\mathrm{239}}\end{cases} \\ $$ Commented by mathsuji…