Question Number 142021 by mathmax by abdo last updated on 25/May/21 $$\mathrm{simplfy}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcsinx}\right) \\ $$$$\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcosx}\right)\:\:\alpha\:\mathrm{is}\:\mathrm{real} \\ $$$$\mathrm{x}\in\left[−\mathrm{1},\mathrm{1}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 10887 by Saham last updated on 28/Feb/17 $$\mathrm{Suppose}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{x}\:+\:\mathrm{1}}\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{4}}{\mathrm{x}\:+\:\mathrm{1}}\:. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{composition}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{f}\:\mathrm{o}\:\mathrm{g}\:\:\:\left(\mathrm{b}\right)\:\:\mathrm{f}\:\mathrm{o}\:\mathrm{f} \\ $$ Answered by geovane10math last updated on 28/Feb/17 $$\mathrm{I}\:\mathrm{wrote}\:\mathrm{an}\:\mathrm{answer} \\…
Question Number 10874 by Saham last updated on 28/Feb/17 $$\mathrm{If}\:\:\mathrm{f}\left(\mathrm{x}\:+\:\mathrm{3}\right)\:=\:\mathrm{2x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{5}.\:\mathrm{find}\:\:\:\mathrm{f}\left(\mathrm{5}\right) \\ $$ Answered by ridwan balatif last updated on 28/Feb/17 $$\mathrm{way}\:\mathrm{1} \\ $$$$\mathrm{let}:\:\mathrm{x}+\mathrm{3}=\mathrm{a}\rightarrow\mathrm{a}−\mathrm{3}=\mathrm{x},\mathrm{then} \\…
Question Number 141937 by cesarL last updated on 24/May/21 $${Write}\:{and}\:{graph}\:{the}\:{equation}\:{of}\:{the}\:{graph}\:{of}\:{y}={sin}\left(\pi{x}\right) \\ $$$${It}\:{is}\:{stretched}\:{up}\:{by}\:{a}\:{factor}\:{of}\:\mathrm{5}\:{and}\:{shifted}\:\frac{\mathrm{1}}{\mathrm{2}}\:{unit}\:{to}\:{the}\:{right} \\ $$$${Help}\:{me}\:{please} \\ $$$$ \\ $$ Commented by MJS_new last updated on 25/May/21…
Question Number 141933 by mathmax by abdo last updated on 24/May/21 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{logx}}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{t}^{\mathrm{2}} }\mathrm{dx}\:\:\:\left(\mathrm{t}>\mathrm{0}\right) \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{t}\right)\:\:\mathrm{and}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{integr}\:\mathrm{serie} \\ $$ Commented…
Question Number 141932 by mathmax by abdo last updated on 24/May/21 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{sin}\left(\mathrm{sin}\left(\mathrm{sinx}\right)\right)+\mathrm{1}−\mathrm{cos}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{3}} } \\ $$ Answered by TheSupreme last updated on 24/May/21 $${sin}\left({sin}\left({sin}\left({x}\right)\right)\right)+\mathrm{1}−{cos}\left({x}^{\mathrm{2}}…
Question Number 141935 by cesarL last updated on 24/May/21 $${Determine}\:{if}\:{the}\:{numbers}\:\mathrm{1},\:\mathrm{5},\:\mathrm{8}\: \\ $$$${are}\:{in}\:{the}\:{range}\:{of}\:{the}\:{fuctions} \\ $$$$ \\ $$$${f}\left({x}\right)=\begin{cases}{\mathrm{2}{x}\:\:\:\:\:\:{if}\:\:−\mathrm{2}\leqslant{x}<\mathrm{2}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:{if}\:\:\:\:{x}=\mathrm{2}}\end{cases} \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 10854 by Joel576 last updated on 27/Feb/17 $${f}\::\:\mathbb{R}\:\rightarrow\:\mathbb{R} \\ $$$${f}\left({x}\:.\:{f}\left({x}\right)\:+\:{f}\left({y}\right)\right)\:=\:\left({f}\left({x}\right)\right)^{\mathrm{2}} \:+\:{y}\:\:\:\:\:\:\:\:\:\:{x},{y}\:\in\:\mathbb{R} \\ $$$$ \\ $$$${f}\left({x}\right)\:=\:?? \\ $$ Answered by bahmanfeshki last updated on…
Question Number 76361 by mathmax by abdo last updated on 26/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:\:,{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{sinA}\:{and}\:{cosA} \\ $$$$\left.\mathrm{4}\right)\:{find}\:{ch}\left({A}\right)\:{and}\:{sh}\left({A}\right) \\ $$ Commented by…
Question Number 76354 by mathmax by abdo last updated on 26/Dec/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(−\mathrm{1}\right)^{{n}} \:{arctan}\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:+{n}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com