Question Number 172989 by SANOGO last updated on 04/Jul/22 $${calcul}:\:{R}=+{oo}\: \\ $$$$\underset{{n}={o}} {\overset{+{oo}} {\sum}}\frac{\mathrm{2}{n}}{\left(\mathrm{2}{n}+\mathrm{1}\right)!}{x}^{{n}} \\ $$ Answered by mr W last updated on 04/Jul/22 $$\mathrm{sinh}\:{x}=\underset{{n}=\mathrm{0}}…
Question Number 107453 by mathocean1 last updated on 10/Aug/20 $${A}\:{man}\:{takes}\:\mathrm{1}{Hour}\mathrm{15}{mn}\:{to} \\ $$$${travel}\:\mathrm{4}.\mathrm{95}{km}.\:{Each}\:\mathrm{5}\:{min}\:{he} \\ $$$${travels}\:\mathrm{10}{km}\:{in}\:{minus}\:{from}\:{the} \\ $$$${previous}\:{distance}\:{travelled}\:{in}\:\mathrm{5} \\ $$$${min}.\:{We}\:{admit}\:{that}\:{this}\:{man}\: \\ $$$${start}\:{travelling}\:{at}\:\mathrm{6}{H}\mathrm{00}\:{am}. \\ $$$${What}\:{distance}\:{could}\:{he}\:{travel}\:{from} \\ $$$$\mathrm{6}{H}\mathrm{10}\:{am}\:{to}\:\mathrm{6}{H}\mathrm{15}\:{am}? \\…
Question Number 107452 by Rio Michael last updated on 10/Aug/20 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{function}\:{f}\:\mathrm{which}\:\mathrm{is}\:\mathrm{periodic}\:\mathrm{of}\:\mathrm{period}\:\mathrm{2}\:\mathrm{defined}\:\mathrm{by} \\ $$$$\:{f}\left({x}\right)\:=\:\begin{cases}{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{4}\:,\:\mathrm{if}\:\mathrm{0}\:\leqslant\:{x}\:<\:\mathrm{3}}\\{{x}−\mathrm{3},\:\mathrm{if}\:\:\mathrm{3}\:\leqslant\:{x}\:<\:\mathrm{6}}\end{cases} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{State}\:\mathrm{in}\:\mathrm{a}\:\mathrm{similar}\:\mathrm{manner}\:{f}\:'\left({x}\right). \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Check}\:\mathrm{if}\:{f}\:\mathrm{is}\:\mathrm{continuous}. \\ $$$$\left(\mathrm{3}\right)\:\mathrm{find}\:{f}\:\left(\mathrm{7}\right)\:\mathrm{and}\:\mathrm{skech}\:\mathrm{the}\:\mathrm{curve}\:{y}\:=\:{f}\left({x}\right). \\ $$ Answered by 1549442205PVT…
Question Number 107446 by mathdave last updated on 10/Aug/20 Commented by kaivan.ahmadi last updated on 10/Aug/20 $$ \\ $$$${lim}_{{x}\rightarrow\mathrm{0}} \frac{{sinx}^{\mathrm{3}} }{{x}^{\mathrm{4}} }={lim}_{{x}\rightarrow\mathrm{0}} \frac{{x}^{\mathrm{3}} }{\mathrm{4}{x}^{\mathrm{3}} }=\frac{\mathrm{1}}{\mathrm{4}}…
Question Number 107447 by mathdave last updated on 10/Aug/20 Commented by mathmax by abdo last updated on 10/Aug/20 $$\mathrm{what}\:\mathrm{mean}\:\mathrm{G}\:? \\ $$ Commented by mathdave last…
Question Number 41911 by lucha116 last updated on 15/Aug/18 $${h}\left({x}\right)=\sqrt{{sin}^{\mathrm{4}} {x}+{cos}^{\mathrm{4}} {x}−\mathrm{2}{msinxcosx}} \\ $$$${Find}\:{all}\:{the}\:{values}\:{of}\:{the}\:{parameter}\:{m}\:{for}\:{the}\:{funtion}\:{denined}\:{on}\:{R} \\ $$$$ \\ $$ Commented by MJS last updated on 15/Aug/18…
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Question Number 41895 by lucha116 last updated on 15/Aug/18 $$\sqrt{\mathrm{3}}{sin}\mathrm{3}{x}−{cos}\mathrm{3}{x}+\mathrm{2}{sin}\frac{\mathrm{9}{x}}{\mathrm{4}}=\mathrm{4} \\ $$ Commented by MJS last updated on 15/Aug/18 $$\mathrm{the}\:\mathrm{answer}\:\mathrm{to}\:\mathrm{this}\:\mathrm{question}\:\mathrm{is}\:\mathrm{included}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{former}\:\mathrm{similar}\:\mathrm{one}.\:\mathrm{there}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{was}\:\begin{pmatrix}{\frac{\mathrm{2}\pi}{\mathrm{9}}+\frac{\mathrm{8}\pi}{\mathrm{3}}{z}}\\{\mathrm{2}}\end{pmatrix}\:\mathrm{with}\:{z}\in\mathbb{Z},\:\mathrm{here}\:\mathrm{it}'\mathrm{s}\:\mathrm{the}\:\mathrm{zeros} \\…