Category: Relation and Functions

Question Number 94336 by mathmax by abdo last updated on 19/May/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)=\arctan \left(2\mathrm{x}\right){\mathrm{e}}^{-3\mathrm{x}}$$$$1)\mathrm{determine}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)\mathrm{and}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(0\right)$$$$2)\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{integr}\mathrm{serie}$$ Answered by prakash jain last…

Question Number 94337 by mathmax by abdo last updated on 18/May/20 $$developpatintegrserief\left(x\right)=\frac{1}{(x-1)(x-2)}$$ Answered by Rio Michael last updated on 18/May/20 $$\mathrm{if}\mathrm{you}\mathrm{mean}\mathrm{develope}\mathrm{a}\mathrm{series}\mathrm{then}:$$$${f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)}\:\equiv\:\frac{\mathrm{1}}{{x}−\mathrm{2}}\:−\frac{\mathrm{1}}{{x}−\mathrm{1}}…

Question Number 94334 by mathmax by abdo last updated on 18/May/20 $$letf\left(x\right)=\frac{sinx}{x}ifx\ne 0andf\left(0\right)=1$$$$1){findf}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrseriest{x}_0=0and{x}_0=\frac{\pi }{2}$$ Answered by abdomathmax…

Question Number 94333 by mathmax by abdo last updated on 18/May/20 $$developpatintegrserie{\int }_{-\mathrm{\infty }}^x\frac{dt}{t^4+t^2+1}$$ Answered by mathmax by abdo last updated…

Question Number 94318 by john santu last updated on 18/May/20 $$\mathrm{Given}\mathrm{f}\left(\mathrm{xy}\right)=\mathrm{f}(\mathrm{x}+\mathrm{y})\mathrm{and}$$$$\mathrm{f}\left(7\right)=7.\mathrm{find}\mathrm{f}\left(1008\right)$$ Commented by Rasheed.Sindhi last updated on 18/May/20 $$f\left(7\right)=f\left(7\times 1\right)=f(7+1)=7$$$${f}\left(\mathrm{8}\right)=\mathrm{7}…