Category: Algebra

Question Number 74947 by chess1 last updated on 04/Dec/19 Answered by MJS last updated on 05/Dec/19 $$(x-1)(8x^3+4x^2-4x-1)\sqrt{1-x^2}=0$$$$\Rightarrow x=\pm 1\vee x=-\frac{1}{6}-\frac{\sqrt{7}}{3}\sin \left(\frac{1}{3}\arcsin \frac{\sqrt{7}}{14}\right)\vee x=-\frac{1}{6}+\frac{\sqrt{7}}{3}\sin (\frac{\pi }{3}+\frac{1}{3}\arcsin \frac{\sqrt{7}}{14})\vee x=-\frac{1}{6}-\frac{\sqrt{7}}{3}\cos (\frac{\pi }{6}+\frac{1}{3}\arcsin \frac{\sqrt{7}}{14})$$ Commented…

Question Number 140477 by ajfour last updated on 08/May/21 $$If\sin \theta +\sin {}^2\theta +\sin {}^3\theta +\dots .$$$$=\cos \theta and0<\theta <\frac{\pi }{2}then$$$$find\theta .$$ Answered by benjo_mathlover last updated on 08/May/21…

Question Number 9400 by tawakalitu last updated on 04/Dec/16 $$\mathrm{expand}:\mathrm{y}={\mathrm{e}}^{\mathrm{x}},\mathrm{about}\mathrm{the}\mathrm{point}\mathrm{x}=1$$$$\mathrm{using}{\mathrm{taylor}}^{\prime }\mathrm{s}\mathrm{series}.$$ Answered by 123456 last updated on 04/Dec/16 $$y=\frac{dy}{dx}=\dots \mathrm{for}y=e^x$$$$\mathrm{taylor}\:\mathrm{serie}…

Question Number 9392 by tawakalitu last updated on 04/Dec/16 $${\mathrm{x}}^{\mathrm{x}}=16$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}.$$$$\mathrm{please}\mathrm{show}\mathrm{workings}.$$ Answered by mrW last updated on 04/Dec/16 $$\mathrm{using}\:\mathrm{Lambert}\:\boldsymbol{\mathrm{W}}\:\mathrm{function}…

Question Number 9380 by FilupSmith last updated on 03/Dec/16 $$S=\underset{n=1}{\sum ^{\mathrm{\infty }}}{n}^{-n}$$$$S=??$$ Terms of Service Privacy Policy Contact: info@tinkutara.com