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 $$=\left[{e}^{{x}} ×\frac{\mathrm{1}}{{cosx}}\right]−\int{e}^{{x}} ×−\frac{{sinx}}{{cos}^{\mathrm{2}} {x}}{dx} \\…
Question Number 142365 by mathmax by abdo last updated on 30/May/21 $$\mathrm{calculate}\:\int\:\:\sqrt{\mathrm{1}+\mathrm{e}^{\mathrm{x}} \:+\mathrm{e}^{\mathrm{2x}} }\mathrm{dx} \\ $$ Answered by MJS_new last updated on 05/Jun/21 $$\int\sqrt{\mathrm{e}^{\mathrm{2}{x}} +\mathrm{e}^{{x}}…
Question Number 11299 by agni5 last updated on 19/Mar/17 $$\mathrm{Define}\:\mathrm{two}\:\mathrm{partition}\:\mathrm{p}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{p}_{\mathrm{2}} \:\mathrm{of}\:\left[\mathrm{2},\mathrm{5}\right]\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{p}_{\mathrm{1}} \subset\mathrm{p}_{\mathrm{2}} \:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{upper}\:\mathrm{and}\:\mathrm{lower}\:\mathrm{product} \\ $$$$\mathrm{sums}\:\mathrm{with}\:\mathrm{respet}\:\mathrm{to}\:\mathrm{f}\:,?\mathrm{defined}\:\mathrm{by} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}\:,\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}<\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:=\mathrm{1}−\mathrm{x}^{\mathrm{2}} \:,\:\:\:\:\:\mathrm{x}\:\geqslant\mathrm{4}\:\:. \\ $$$$\mathrm{Also}\:\mathrm{verify}\:\mathrm{the}\:\mathrm{relationship}\:\mathrm{between}\:\mathrm{these}…
Question Number 11288 by agni5 last updated on 19/Mar/17 $$\mathrm{Sketch}\:\mathrm{the}\:\mathrm{graph}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\:\mathrm{is}\:\mathrm{defined} \\ $$$$\mathrm{by}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{4}} +\mathrm{8x}^{\mathrm{3}} ,\:\mathrm{clearly}\:\mathrm{giving}\:\mathrm{all}\:\mathrm{the}\: \\ $$$$\mathrm{properties}\:\mathrm{used}\:\mathrm{in}\:\mathrm{it}. \\ $$ Answered by ajfour last updated on 19/Mar/17…
Question Number 76783 by mathmax by abdo last updated on 30/Dec/19 $${let}\:{f}\left({x}\right)={x}^{\mathrm{3}} \:\:\:\:,\mathrm{2}\pi\:{periodic}\:{odd}\:{developp}\:{f}\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11238 by Joel576 last updated on 18/Mar/17 $${f}\left(\mathrm{1}\:−\:\mathrm{2}{x}\right)\:=\:{g}\left({x}\:+\:\mathrm{3}\right) \\ $$$${f}^{−\mathrm{1}} \left({x}\right)\:=\:? \\ $$$$ \\ $$$$\left(\mathrm{A}\right)\:\mathrm{7}\:−\:\mathrm{2}{g}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left(\mathrm{B}\right)\:\mathrm{2}{g}^{−\mathrm{1}} \left({x}\right)\:+\:\mathrm{7} \\ $$$$\left(\mathrm{C}\right)\:\mathrm{2}{g}^{−\mathrm{1}} \left({x}\right)\:−\:\mathrm{5} \\…
Question Number 11196 by agni5 last updated on 16/Mar/17 $$\mathrm{Give}\:\mathrm{an}\:\mathrm{example}\:\mathrm{each}\:\mathrm{with}\:\mathrm{justification},\mathrm{of}\:\mathrm{a}\:\mathrm{function} \\ $$$$\left.\mathrm{defined}\:\mathrm{by}\:\right]−\mathrm{1},\mathrm{1}\left[\:,\mathrm{which}\:\mathrm{is}\right. \\ $$$$\left.\mathrm{1}\right)\mathrm{one}\:\mathrm{one}\:\mathrm{but}\:\mathrm{not}\:\mathrm{onto}. \\ $$$$\left.\mathrm{2}\right)\mathrm{onto}\:\mathrm{but}\:\mathrm{not}\:\mathrm{one}\:\mathrm{one}. \\ $$ Commented by FilupS last updated on 16/Mar/17…
Question Number 11172 by agni5 last updated on 15/Mar/17 $$\mathrm{Tangent}\:\mathrm{to}\:\mathrm{the}\:\mathrm{curve}\:\left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{3}} =\left(\mathrm{x}−\mathrm{y}+\mathrm{2}\right)^{\mathrm{2}} \\ $$$$\mathrm{at}\:\left(−\mathrm{1},\mathrm{1}\right). \\ $$ Answered by ajfour last updated on 15/Mar/17 $${y}={x}+\mathrm{2} \\ $$…
Question Number 11167 by agni5 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}\mid\:\mathrm{is}\:\mathrm{even}\:\mathrm{or}\:\mathrm{odd}?\: \\ $$$$\mathrm{give}\:\mathrm{reasion}. \\ $$ Answered by mrW1 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\mid=\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)…
Question Number 11166 by chux last updated on 14/Mar/17 Commented by ridwan balatif last updated on 15/Mar/17 $$\mathrm{cos4}\theta=\mathrm{cos}\left(\mathrm{2}\theta+\mathrm{2}\theta\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2cos}^{\mathrm{2}} \mathrm{2}\theta−\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}\left\{\mathrm{cos}\left(\theta+\theta\right)\right\}^{\mathrm{2}} −\mathrm{1} \\…