Question Number 56460 by cesar.marval.larez@gmail.com last updated on 16/Mar/19 Answered by tanmay.chaudhury50@gmail.com last updated on 17/Mar/19 $$\overset{\rightarrow} {{w}}=\mathrm{3}{i}+\mathrm{4}{j}+\mathrm{5}{k} \\ $$$$\overset{\rightarrow} {{u}}={ai}+\mathrm{2}{j}−\mathrm{3}{k} \\ $$$$\overset{\rightarrow} {{v}}={i}+\mathrm{4}{j}+{ck} \\…
Question Number 55991 by bshahid010@gmail.com last updated on 07/Mar/19 Commented by maxmathsup by imad last updated on 07/Mar/19 $${let}\:\:{S}_{{n}} \left({x}\right)=\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\:\sum_{{k}=\mathrm{1}} ^{{m}} \:\left[{kx}\right]{we}\:{have}\:\:\:\left[{kx}\right]\leqslant{kx}<\left[{kx}\right]+\mathrm{1}\:\Rightarrow\:\:{kx}−\mathrm{1}<\left[{kx}\right]\leqslant{kx}\:\Rightarrow \\ $$$$\frac{\mathrm{1}}{{n}^{\mathrm{2}}…
Question Number 55971 by bshahid010@gmail.com last updated on 07/Mar/19 Commented by tanmay.chaudhury50@gmail.com last updated on 07/Mar/19 $${from}\:{graph}\:{it}\:{is}\:{seen}\:{that}\:\mid{sinx}\mid\:{and}\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid\:{meet}\:{at} \\ $$$$\left(\mathrm{0},\mathrm{0}\right)\:{for}\:{no}\:{solution}\:{a}\:{should}\:{be}\:{greater}\:{than}\:{zero} \\ $$$$\mid{sinx}\mid=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid\:{meet}\:{at}\:\left(\mathrm{0},\mathrm{0}\right)\:{so}\:{x}=\mathrm{0}\:{is}\:{a}\:{solutiin} \\ $$$${but}\:\mid{sinx}\mid=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mid{x}\mid+{a}\:{have}\:{no}\:{solution}\:{when} \\ $$$${a}>\mathrm{0}…
Question Number 121188 by mathocean1 last updated on 05/Nov/20 $${N}\:{is}\:{written}\:\mathrm{158}{b}\mathrm{687}{a}\:{in}\:{base}\:\mathrm{10}. \\ $$$${with}\:\:{a}<{b}. \\ $$$${show}\:{that}\:{N}\equiv\mathrm{2}+{a}\left[\mathrm{4}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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} \\…