Category: Relation and Functions

Question Number 73697 by mathmax by abdo last updated on 14/Nov/19 $$findaformulaeforcalculusofarctan(x+iy)$$ Commented by mathmax by abdo last updated on 15/Nov/19 $${we}\:{have}\:{proved}\:{that}\:{arctanz}\:=\frac{\mathrm{1}}{\mathrm{2}{i}}{ln}\left(\frac{\mathrm{1}+{iz}}{\mathrm{1}−{iz}}\right)\:\Rightarrow \…

Question Number 139029 by bramlexs22 last updated on 21/Apr/21 $$\mathrm{Given}\mathrm{f}(\mathrm{x}+\sqrt{1+{\mathrm{x}}^2})=\frac{\mathrm{x}}{\mathrm{x}+1}$$$$\mathrm{find}\mathrm{f}\left(\mathrm{x}\right)=?$$ Answered by EDWIN88 last updated on 21/Apr/21 $$\:\:\:\:\:\:\:\:\:\mathrm{u}=\mathrm{x}+\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} } \…

Question Number 73490 by abdomathmax last updated on 13/Nov/19 $$calculatef\left(a\right)={\int }_0^{\mathrm{\infty }}{e}^{-(x^2+\frac{a}{x^2})}dxwitha>0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 73487 by abdomathmax last updated on 13/Nov/19 $$let\alpha and\beta rootsoftheequation{x}^2-x+2=0$$$$simplify{A}_p={\alpha }^p+{\beta }^{p}andcalculate$$$$\sum_{{p}=\mathrm{0}} ^{{n}−\mathrm{1}} \:{A}_{{p}} \:\:{and}\:\sum_{{p}=\mathrm{0}} ^{{n}−\mathrm{1}} \:\:{A}_{{p}} ^{\mathrm{2}} \…

Question Number 73485 by abdomathmax last updated on 13/Nov/19 $$findtherootsofP\left(x\right)={(1+ix+{jx}^2)}^n-1$$$$withj=e^{i\frac{2\pi }{3}}thenfactorizeP\left(x\right)insideC\left[x\right]$$$$decomposethefractionF=\frac{1}{P}$$ Terms of Service Privacy Policy Contact:…