Category: Relation and Functions

Question Number 74345 by mathmax by abdo last updated on 22/Nov/19 $$1)calculatef\left(x\right)={\int }_{x+1}^{x^2+1}{e}^{-xt}arctan\left(t\right)dt$$$$2)find{lim}_{x\to 0}f\left(x\right)$$ Commented by mathmax by…

Question Number 74225 by mathmax by abdo last updated on 20/Nov/19 $$letp\left(x\right)={(1+jx)}^n-{(1-jx)}^{n}withj=e^{\frac{i2\pi }{3}}$$$$1)determinetherootsofp\left(x\right)andfactorizeP\left(x\right)insideC\left[x\right]$$$$2)decomposethefractionF\left(x\right)=\frac{1}{p\left(x\right)}$$ Answered by mind is power…

Question Number 139639 by bemath last updated on 30/Apr/21 $$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{reflection}\mathrm{of}\mathrm{the}$$$$\mathrm{point}(2,2)\mathrm{in}\mathrm{the}\mathrm{line}\mathrm{x}+2\mathrm{y}=4?$$ Commented by bramlexs22 last updated on 30/Apr/21 $$\mathrm{Let}\mathrm{P}(2,2)\mathrm{\&}{\mathrm{P}}^{\prime }(\mathrm{a},\mathrm{b})\mathrm{is}\mathrm{the}\mathrm{reflectional}$$$$\mathrm{image}\:\mathrm{of}\:\mathrm{P}\:\mathrm{in}\:\mathrm{L}. \…

Question Number 139592 by bemath last updated on 29/Apr/21 $$\mathrm{Given}\mathrm{f}\left(\mathrm{x}\right)=\sqrt{2+{\mathrm{x}}^2-\mathrm{x}}+\sqrt{2-{\mathrm{x}}^2}$$$$\mathrm{If}(\mathrm{g}\circ \mathrm{f})\left(\mathrm{x}\right)=2\mathrm{x}+1\mathrm{then}{\mathrm{g}}^{-1}(-1)=?$$ Answered by EDWIN88 last updated on 29/Apr/21 $$\Rightarrow\left(\mathrm{g}\circ\mathrm{f}\right)\left(\mathrm{x}\right)=\:\mathrm{2x}+\mathrm{1}\:;\:\mathrm{g}^{−\mathrm{1}}…

Question Number 74019 by mathmax by abdo last updated on 17/Nov/19 $$letthematrixA=\left(\begin{array}{c}12\\ 0-3\end{array}\right)$$$$1)calculate{A}^{n}fornintegr$$$$2)find{e}^{A}and{e}^{-A}.$$ Commented by mathmax by…