Category: Relation and Functions

Question Number 144214 by Mathspace last updated on 23/Jun/21 $$calculate{\int }_0^{4\pi }\frac{sinx}{{(3+cosx)}^2}dx$$ Answered by bemath last updated on 23/Jun/21 $$=−\underset{\mathrm{0}} {\overset{\mathrm{4}\pi} {\int}}\:\frac{\mathrm{d}\left(\mathrm{3}+\mathrm{cos}\:\mathrm{x}\right)}{\left(\mathrm{3}+\mathrm{cos}\:\mathrm{x}\right)^{\mathrm{2}}…

Question Number 78667 by berket last updated on 19/Jan/20 $$letf\left(x\right)=(x+1)\frac{(x+1){(x-3)}^2}{{(x-1)}^2(x-4)}then$$$$a.findxandyintercepts$$$$b.findverticalasymptoteandhorizontalasymtote$$$$c.finddomainandrangeoff$$$$d.drawthegraphoff$$ Answered by Rio…

Question Number 13099 by Joel577 last updated on 14/May/17 $$\mathrm{If}f(x+5)=g(2x-1)$$$$\mathrm{Find}2f^{-1}\left(x\right)$$$$$$$$\left(\mathrm{A}\right)g^{-1}\left(x\right)+11\left(\mathrm{D}\right)g^{-1}\left(x/2\right)+6$$$$\left(\mathrm{B}\right)g^{-1}\left(x\right)+9\left(\mathrm{E}\right)g^{-1}\left(2x\right)+6$$$$\left(\mathrm{C}\right)\:{g}^{−\mathrm{1}}…

Question Number 78620 by mathmax by abdo last updated on 19/Jan/20 $$explicitf\left(x\right)={\int }_0^{+\mathrm{\infty }}ln(1-{xe}^{-t})dtwith\mid x\mid <1$$ Answered by mind is power last updated on…

Question Number 144109 by henderson last updated on 21/Jun/21 $$\mathbf{hi},\mathbf{everybody}!$$$$1.\mathbf{calculate}:\mathbf{I}={\int }_{\frac{\mathit{\pi }}{6}}^{\frac{\mathit{\pi }}{3}}\mathit{l}\mathit{n}\left(\mathit{t}\mathit{a}\mathit{n}\mathit{x}\right)\mathit{d}\mathit{x}.$$$$2.\mathbf{calculate}:\underset{\mathit{x}\to \mathit{e}}{\mathit{l}\mathit{i}\mathit{m}}\frac{\mathit{x}\sqrt{1-\mathit{l}\mathit{n}\mathit{x}}}{\mathit{x}-\mathit{e}}.$$ Commented by bobhans last updated on…