Category: Algebra

Question Number 144736 by mathdanisur last updated on 28/Jun/21 $$P\left(z\right)={az}^3+z^2-(a+6)z+b-6$$$$P\left(z\right)=(z^2+4)\cdot Q\left(z\right)$$$$Finda\cdot b=?$$ Answered by nimnim last updated on…

Question Number 144716 by mathdanisur last updated on 28/Jun/21 $$\int \left(\frac{dx}{e^{2x}+1}\right)=?$$ Answered by imjagoll last updated on 28/Jun/21 $$\mathrm{let}{\mathrm{e}}^{\mathrm{x}}=\mu \Rightarrow \mathrm{dx}=\frac{\mathrm{d}\mu }{{\mathrm{e}}^{\mathrm{x}}}=\frac{\mathrm{d}\mu }{\mu }$$$$\mathrm{I}=\int\:\left(\frac{\mathrm{1}}{\mu^{\mathrm{2}}…

Question Number 13645 by chux last updated on 21/May/17 $$\mathrm{please}\mathrm{is}\mathrm{factor}\mathrm{theorem}\mathrm{and}\mathrm{error}$$$$\mathrm{and}\mathrm{trial}\mathrm{the}\mathrm{same}?\mathrm{please}\mathrm{help}$$$$\mathrm{cause}\mathrm{i}\mathrm{think}\mathrm{theres}\mathrm{a}\mathrm{difference}$$$$\mathrm{but}\mathrm{i}\mathrm{cant}\mathrm{explain}\mathrm{it}.$$$$$$$$\mathrm{Thankz}.$$ Terms of Service…

Question Number 144693 by mathdanisur last updated on 27/Jun/21 Answered by Rasheed.Sindhi last updated on 28/Jun/21 $$Allnaturalnumbersfallintothe$$$$following6catagorieswithrespect$$$$tomodulo6:$$$$6k,6k+1,6k+2,6k+3,6k+4,6k+5$$$${Obviously}\:\underset{=\mathrm{6}{k}}…

Question Number 144682 by mathdanisur last updated on 27/Jun/21 $$Compare:x=\frac{sin\left(3\right)}{sin\left(5\right)}andy=\frac{cos\left(3\right)}{cos\left(5\right)}$$ Answered by mindispower last updated on 27/Jun/21 $$5degree$$$$\frac{5\pi }{180},\frac{3\pi }{180}$$$${x}\overset{{f}} {\rightarrow}{tg}\left({x}\right),{f}'\left({x}\right)=\mathrm{1}+{tg}^{\mathrm{2}}…