Category: Relation and Functions

Question Number 10741 by okhema last updated on 24/Feb/17 $$afunctionfisdefinedbyf\left(x\right)=\frac{x+3}{x-1},xnotequalto1.determinewhetherfisbijective,thatis,bothonetooneandonto$$$$$$ Answered by mrW1 last updated on 24/Feb/17 $$f\left(x\right)=\frac{x+3}{x-1}=y$$$${x}+\mathrm{3}={yx}−{y} \…

Question Number 141774 by mathmax by abdo last updated on 23/May/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{{\mathrm{e}}^{-{\mathrm{x}}^2}}{1+{\mathrm{x}}^2}\mathrm{dx}$$ Answered by Dwaipayan Shikari last updated…

Question Number 76193 by abdomathmax last updated on 25/Dec/19 $$calculate\int (x^2-1)sh\left(3x\right)dx$$ Commented by benjo last updated on 25/Dec/19 $$\mathrm{sir}\mathrm{do}\mathrm{you}\mathrm{mean}\mathrm{sh}\left(3\mathrm{x}\right)=\sinh \left(3\mathrm{x}\right)?$$ Commented by…

Question Number 141653 by Mathspace last updated on 21/May/21 $$whatisconditiontohave$$$$log(I+A)=\mathrm{\Sigma }{a}_n{A}^n$$$$anddeterminethesequence\left(a_n\right)$$$$A\in M_n\left(C\right)$$ Terms of Service Privacy…

Question Number 141568 by sarkor last updated on 20/May/21 Commented by Dwaipayan Shikari last updated on 20/May/21 $$Areabetweenthiscurves$$$$\sqrt{x}=x^2\Rightarrow x=1\left(Meetingpoint\right)$$$$\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{{x}}−{x}^{\mathrm{2}}…