Category: Relation and Functions

Question Number 142389 by alcohol last updated on 31/May/21 $$\int \frac{e^x}{cosx}dx$$ Answered by ArielVyny last updated on 31/May/21 $$=\left[{e}^{{x}} ×\frac{\mathrm{1}}{{cosx}}\right]−\int{e}^{{x}} ×−\frac{{sinx}}{{cos}^{\mathrm{2}} {x}}{dx} \…

Question Number 11299 by agni5 last updated on 19/Mar/17 $$\mathrm{Define}\mathrm{two}\mathrm{partition}{\mathrm{p}}_1\mathrm{and}{\mathrm{p}}_2\mathrm{of}[2,5]\mathrm{such}\mathrm{that}$$$${\mathrm{p}}_1\subset {\mathrm{p}}_2.\mathrm{Find}\mathrm{the}\mathrm{upper}\mathrm{and}\mathrm{lower}\mathrm{product}$$$$\mathrm{sums}\mathrm{with}\mathrm{respet}\mathrm{to}\mathrm{f},?\mathrm{defined}\mathrm{by}$$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x},\mathrm{x}<4$$$$=1-{\mathrm{x}}^2,\mathrm{x}⩾4.$$$$\mathrm{Also}\:\mathrm{verify}\:\mathrm{the}\:\mathrm{relationship}\:\mathrm{between}\:\mathrm{these}…

Question Number 76783 by mathmax by abdo last updated on 30/Dec/19 $$letf\left(x\right)=x^3,2\pi periodicodddeveloppfatfourierserie$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 11196 by agni5 last updated on 16/Mar/17 $$\mathrm{Give}\mathrm{an}\mathrm{example}\mathrm{each}\mathrm{with}\mathrm{justification},\mathrm{of}\mathrm{a}\mathrm{function}$$$$\mathrm{defined}\mathrm{by}]-1,1[,\mathrm{which}\mathrm{is}$$$$1)\mathrm{one}\mathrm{one}\mathrm{but}\mathrm{not}\mathrm{onto}.$$$$2)\mathrm{onto}\mathrm{but}\mathrm{not}\mathrm{one}\mathrm{one}.$$ Commented by FilupS last updated on 16/Mar/17…

Question Number 11167 by agni5 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\ln \mid \mathrm{x}+\sqrt{(1+{\mathrm{x}}^2)}\mid \mathrm{is}\mathrm{even}\mathrm{or}\mathrm{odd}?$$$$\mathrm{give}\mathrm{reasion}.$$ Answered by mrW1 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\mid=\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)…