Category: Algebra

Question Number 151890 by mathdanisur last updated on 23/Aug/21 Answered by mnjuly1970 last updated on 24/Aug/21 $$\:\:\:{x}^{\:\mathrm{2}} +{y}^{\:\mathrm{2}} +{z}^{\:\mathrm{2}} \:+\left({x}^{\:\mathrm{2}} +\:\frac{\mathrm{1}}{{x}^{\:\mathrm{2}} }\right)+\left({y}^{\:\mathrm{2}} +\frac{\mathrm{1}}{{y}^{\:\mathrm{2}} }\:\right) \…

Question Number 151874 by miktun last updated on 23/Aug/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 20799 by Tinkutara last updated on 03/Sep/17 $$\mathrm{If}{z}^2+z\mid z\mid +\mid z{\mid }^2=0,\mathrm{then}\mathrm{locus}\mathrm{of}z\mathrm{is}$$ Answered by ajfour last updated on 03/Sep/17 $$letz={re}^{i\theta }$$$$\Rightarrow\:\:{r}^{\mathrm{2}} {e}^{\mathrm{2}{i}\theta}…

Question Number 151858 by mathdanisur last updated on 23/Aug/21 Answered by Olaf_Thorendsen last updated on 23/Aug/21 $$f\left(x\right)=\sin x+\frac{\sin 3x}{3}+\frac{\sin 5x}{5}+\sin \frac{7x}{7}$$$$f^{\prime }\left(x\right)=\cos x+\cos 3x+\cos 5x+\cos 7x$$$${f}'\left({x}\right)\:=\:\mathrm{Re}\left({e}^{{ix}} +{e}^{\mathrm{3}{ix}} +{e}^{\mathrm{5}{ix}} +{e}^{\mathrm{7}{ix}} \right)…

Question Number 86298 by 21042009 last updated on 28/Mar/20 $$let{x}^{x^{x^{\text{iddots}}}}=2$$$$x^2=2$$$$x=\pm \sqrt{2}$$$$thenlet{x}^{x^{x^{\text{iddots}}}}=4$$$${x}^{\mathrm{4}}…