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Category: Vector Calculus

Question-55971

Question Number 55971 by bshahid010@gmail.com last updated on 07/Mar/19 Commented by tanmay.chaudhury50@gmail.com last updated on 07/Mar/19 $${from}\:{graph}\:{it}\:{is}\:{seen}\:{that}\:\mid{sinx}\mid\:{and}\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid\:{meet}\:{at} \\ $$$$\left(\mathrm{0},\mathrm{0}\right)\:{for}\:{no}\:{solution}\:{a}\:{should}\:{be}\:{greater}\:{than}\:{zero} \\ $$$$\mid{sinx}\mid=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid\:{meet}\:{at}\:\left(\mathrm{0},\mathrm{0}\right)\:{so}\:{x}=\mathrm{0}\:{is}\:{a}\:{solutiin} \\ $$$${but}\:\mid{sinx}\mid=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid+{a}\:{have}\:{no}\:{solution}\:{when} \\ $$$${a}>\mathrm{0}…

Nama-Attila-Abiem-Farhan-Kelas-XI-BKP-Tugas-KD-3-18-MTK-1-jawab-u-3-4-12-u-3-2-4-2-12-2-9-16-144-169-13-2-jawab-a-2-

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}} }…

Show-by-recurence-that-5-n-1-4n-n-N-

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} \\…

find-the-distance-of-point-2-1-2-to-plane-passing-through-points-1-2-3-0-4-2-and-1-3-4-

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} \\…

c-3xy-e-sin-x-dx-7x-y-4-1-dy-C-triangle-with-vertex-0-0-0-1-and-1-0-

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…