Category: Relation and Functions

Question Number 16086 by Tinkutara last updated on 17/Jun/17 $$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{values}\mathrm{of}x\mathrm{which}\mathrm{are}$$$$\mathrm{satisfying}\mathrm{the}\mathrm{equation}\mid x+4\mid =8\left[x\right]$$$$+x-4\mathrm{is}?(\mathrm{where}[\cdot ]\mathrm{Greatest}\mathrm{Integer}$$$$\mathrm{Function})$$ Commented by prakash jain last updated on…

Question Number 16082 by Tinkutara last updated on 17/Jun/17 $$\mathrm{Solution}\mathrm{of}\mathrm{equation}2\left[x\right]+4\left\{x\right\}=3x$$$$+2(\mathrm{where}\{\cdot \}\mathrm{denotes}\mathrm{fractional}$$$$\mathrm{function}\mathrm{and}[\cdot ]\mathrm{denotes}\mathrm{G}.\mathrm{I}.\mathrm{F})\mathrm{is}$$$$\left(1\right)\{-2\}$$$$\left(2\right)\{-2,-\frac{3}{2}\}$$$$\left(3\right)\varphi$$$$\left(4\right)R$$ Commented…

Question Number 147100 by mathmax by abdo last updated on 18/Jul/21 $${\mathrm{findA}}_{\mathrm{n}}={\int }_0^1\mathrm{x}(\mathrm{x}+1)(\mathrm{x}+2)\dots .(\mathrm{x}+\mathrm{n})\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 81434 by abdomathmax last updated on 13/Feb/20 $$find{U}_n={\int }_1^{n}arctan(x+\frac{1}{x})dx$$$$anddeterminenatureof\mathrm{\Sigma }{U}_n$$ Commented by abdomathmax last updated on 13/Feb/20 $${by}\:{parts}\:{U}_{{n}}…

Question Number 81431 by abdomathmax last updated on 13/Feb/20 $$letf\left(x\right)=\frac{arctan\left(2x\right)}{1+x}$$$$1)calculate{f}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrserie$$ Commented by abdomathmax last updated on 20/Feb/20…