Question Number 46208 by hassentimol last updated on 22/Oct/18 Commented by hassentimol last updated on 22/Oct/18 $$ \\ $$$$\mathrm{Could}\:\mathrm{you}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{me}\:\mathrm{these} \\ $$$$\mathrm{three}\:\mathrm{formulas}\:\mathrm{but}\:\mathrm{mainly}\:\mathrm{the}\:\mathrm{last} \\ $$$$\mathrm{one}\:\mathrm{as}\:\mathrm{I}\:\mathrm{do}\:\mathrm{not}\:\mathrm{understand}\:\mathrm{it}\:\mathrm{at}\:\mathrm{all}. \\ $$$$…
Question Number 46191 by mondodotto@gmail.com last updated on 22/Oct/18 $$\mathrm{There}\:\mathrm{are}\:\mathrm{three}\:\mathrm{classes}\:\mathrm{of}\:\mathrm{form}\:\mathrm{four} \\ $$$$\mathrm{which}\:\mathrm{are}\:\mathrm{4a},\:\mathrm{4b}\:\mathrm{and}\:\mathrm{4c}. \\ $$$$\mathrm{in}\:\mathrm{mathematics}\:\mathrm{result}\:\mathrm{the}\:\mathrm{arithmetic}\:\mathrm{mean}\:\mathrm{of} \\ $$$$\mathrm{4a}\:\mathrm{4b}\:\mathrm{and}\:\mathrm{4c}\:\mathrm{are}\:\mathrm{70},\:\mathrm{60}\:\mathrm{and}\:\mathrm{80}\:\mathrm{and}\:\mathrm{their} \\ $$$$\mathrm{standard}\:\mathrm{deviation}\:\mathrm{are}\:\mathrm{3},\:\mathrm{3}.\mathrm{4},\:\mathrm{and}\:\mathrm{2}.\mathrm{5} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{arithmetic}\:\mathrm{mean}\:\mathrm{and}\:\mathrm{standard}\:\mathrm{deviation}\:\mathrm{when} \\ $$$$\mathrm{we}\:\mathrm{combine}\:\mathrm{the}\:\mathrm{results}\:\mathrm{of}\:\mathrm{mathematics}\:\mathrm{for}\: \\ $$$$\mathrm{all}\:\mathrm{classes}\:\mathrm{of}\:\mathrm{form}\:\mathrm{four}.\:\mathrm{Assuming}\:\mathrm{the} \\…
Question Number 46121 by Sanjarbek last updated on 21/Oct/18 Commented by tanmay.chaudhury50@gmail.com last updated on 21/Oct/18 $${as}\:{x}\rightarrow\infty\:\:\:{so}\:\mathrm{2}^{{x}} \rightarrow\infty \\ $$$${hence}\:\mathrm{3}^{\mathrm{2}^{{x}} } \rightarrow\infty \\ $$$${so}\:{finally} \\…
Question Number 111650 by mohammad17 last updated on 04/Sep/20 Commented by mohammad17 last updated on 04/Sep/20 $${pleas}\:{sir}\:{help}\:{me}\:\left({by}\:{the}\:{divisibility}\right) \\ $$ Commented by mohammad17 last updated on…
Question Number 111644 by weltr last updated on 04/Sep/20 $${y}'+{y}+\mathrm{7}=\mathrm{0} \\ $$ Commented by mohammad17 last updated on 04/Sep/20 $$ \\ $$$$\left({D}+\mathrm{1}\right){y}=−\mathrm{7} \\ $$$$ \\…
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Question Number 111624 by mathdave last updated on 04/Sep/20 $${if}\:{x}\:{is}\:{a}\:{cube}\:{root}\:{of}\:{a}\:{unity} \\ $$$${prove}\:{that}\: \\ $$$$\left(\mathrm{1}−{x}\right)^{\mathrm{6}} =−\mathrm{27} \\ $$ Answered by Her_Majesty last updated on 04/Sep/20 $$\left(\mathrm{1}−\omega\right)^{\mathrm{6}}…
Question Number 111622 by mathdave last updated on 04/Sep/20 $${show}\:{that}\:{the}\:{close}\:{form}\:{of}\: \\ $$$$\underset{{k}=\mathrm{0}} {\overset{\infty} {\sum}}\left(\underset{{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left[\frac{\left(−\mathrm{1}\right)^{{k}+{i}} }{\left({k}+\mathrm{1}\right)\left({k}+\mathrm{2}{i}+\mathrm{2}\right)}\right]\right)=\frac{\mathrm{1}}{\mathrm{8}}\mathrm{ln2} \\ $$ Answered by mathdave last updated on…
Question Number 111620 by mathdave last updated on 04/Sep/20 $${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{ln}\Gamma\left({x}\right){dx}=\mathrm{ln}\sqrt{\mathrm{2}\pi} \\ $$ Answered by mathmax by abdo last updated on 04/Sep/20…