Question Number 186323 by Rupesh123 last updated on 03/Feb/23 Commented by Frix last updated on 03/Feb/23 $${n}!\sim\frac{{n}^{{n}} }{\mathrm{e}^{{n}} }\sqrt{\mathrm{2}\pi{n}} \\ $$$${a}_{{n}} \sim\frac{\sqrt{\mathrm{2}\pi{n}}}{\mathrm{e}^{{n}} } \\ $$$$\underset{{n}\rightarrow\infty}…
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Question Number 119184 by Attila last updated on 22/Oct/20 $${Nama}\::\:{Attila}\:{Abiem}\:{Farhan} \\ $$$${Kelas}\::\:{XI}\:{BKP} \\ $$$${Tugas}\:{KD}\:\mathrm{3}.\mathrm{18}\:{MTK} \\ $$$$\mathrm{1}.\:{jawab}\:: \\ $$$$\:\overset{\rightarrow} {{u}}=\begin{pmatrix}{−\mathrm{3}}\\{−\mathrm{4}}\\{\:\:\mathrm{12}}\end{pmatrix}\: \\ $$$$\mid\overset{\rightarrow} {{u}}\mid=\sqrt{\left(−\mathrm{3}^{\mathrm{2}} \right)+\left(−\mathrm{4}\right)^{\mathrm{2}} +\mathrm{12}^{\mathrm{2}} }…
Question Number 119054 by mathocean1 last updated on 21/Oct/20 $${Show}\:{by}\:{recurence}\:{that}: \\ $$$$\mathrm{5}^{{n}} \geqslant\mathrm{1}+\mathrm{4}{n}\:;\:{n}\in\mathbb{N} \\ $$ Answered by 1549442205PVT last updated on 22/Oct/20 $$\bullet\mathrm{For}\:\mathrm{n}=\mathrm{0}\:\mathrm{we}\:\mathrm{have}\:\mathrm{5}^{\mathrm{0}} =\mathrm{1}=\mathrm{1}+\mathrm{4}.\mathrm{0}\Rightarrow\mathrm{the} \\…
Question Number 184287 by Tawa11 last updated on 04/Jan/23 If the area enclosed between the curves y=x² and the line y = 2x is rotated…
Question Number 118747 by bemath last updated on 19/Oct/20 $${find}\:{the}\:{distance}\:{of}\:{point}\:\left(\mathrm{2},\mathrm{1},−\mathrm{2}\right)\:{to}\:{plane} \\ $$$${passing}\:{through}\:{points}\:\left(−\mathrm{1},\mathrm{2},−\mathrm{3}\right); \\ $$$$\left(\mathrm{0},−\mathrm{4},−\mathrm{2}\right)\:{and}\:\left(\mathrm{1},\mathrm{3},\mathrm{4}\right). \\ $$ Answered by benjo_mathlover last updated on 19/Oct/20 $${Equation}\:{of}\:{plane}\:{passing}\:{through}\:{points} \\…
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Question Number 117493 by bobhans last updated on 12/Oct/20 $$\int_{\mathrm{c}} \left(\mathrm{3xy}−\mathrm{e}^{\mathrm{sin}\:\mathrm{x}} \right)\mathrm{dx}+\left(\mathrm{7x}+\sqrt{\mathrm{y}^{\mathrm{4}} +\mathrm{1}}\:\right)\mathrm{dy} \\ $$$$\mathrm{C}\::\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{vertex}\:\left(\mathrm{0},\mathrm{0}\right),\left(\mathrm{0},\mathrm{1}\right) \\ $$$$\mathrm{and}\:\left(\mathrm{1},\mathrm{0}\right) \\ $$ Answered by bemath last updated on…
Question Number 182183 by amin96 last updated on 05/Dec/22 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \boldsymbol{{e}}^{\boldsymbol{{a}}} \boldsymbol{{a}}^{\boldsymbol{{n}}} \boldsymbol{{da}}=?\:\:\:\:\:\:\:\:\boldsymbol{{n}}\geqslant\mathrm{1}\:\:\:\:\boldsymbol{{n}}\in\boldsymbol{{N}} \\ $$ Answered by mr W last updated on 06/Dec/22 $${I}_{{n}}…
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