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AllQuestion and Answers: Page 408

Question Number 178870 Answers: 1 Comments: 0

Question Number 178869 Answers: 1 Comments: 0

Question Number 178867 Answers: 2 Comments: 0

Question Number 178847 Answers: 1 Comments: 0

y=xsin (x) (d^(35) y/dx^(35) )=?

$${y}={x}\mathrm{sin}\:\left({x}\right) \\ $$$$\frac{{d}^{\mathrm{35}} {y}}{{dx}^{\mathrm{35}} }=? \\ $$

Question Number 178837 Answers: 1 Comments: 0

Question Number 178839 Answers: 2 Comments: 0

Question Number 178838 Answers: 0 Comments: 0

Question Number 178833 Answers: 6 Comments: 0

Question Number 178832 Answers: 4 Comments: 0

Question Number 178818 Answers: 1 Comments: 0

If a,b,c,d∈[1,2] then prove that: (a + b + c + d + e)((1/a) + (1/b) + (1/c) + (1/d) + (1/e)) ≤ 28 When equality holds?

$$\mathrm{If}\:\:\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\in\left[\mathrm{1},\mathrm{2}\right]\:\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\left(\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:+\:\mathrm{d}\:+\:\mathrm{e}\right)\left(\frac{\mathrm{1}}{\mathrm{a}}\:+\:\frac{\mathrm{1}}{\mathrm{b}}\:+\:\frac{\mathrm{1}}{\mathrm{c}}\:+\:\frac{\mathrm{1}}{\mathrm{d}}\:+\:\frac{\mathrm{1}}{\mathrm{e}}\right)\:\leqslant\:\mathrm{28} \\ $$$$\mathrm{When}\:\mathrm{equality}\:\mathrm{holds}? \\ $$

Question Number 178810 Answers: 1 Comments: 1

Question Number 178822 Answers: 1 Comments: 0

Question Number 178824 Answers: 0 Comments: 2

∡BCD=45^° BD=6; AD=1 Determiner AE? AC?

$$\:\measuredangle\mathrm{BCD}=\mathrm{45}^{°} \:\:\:\mathrm{BD}=\mathrm{6};\:\:\mathrm{AD}=\mathrm{1} \\ $$$${Determiner}\:\mathrm{AE}?\:\:\mathrm{AC}? \\ $$

Question Number 178794 Answers: 0 Comments: 0

i i

$${i} \\ $$$${i} \\ $$

Question Number 178793 Answers: 2 Comments: 0

find Σ_(n=0) ^∞ (1/((3n)!)) = 1+(1/(3!))+(1/(6!))+(1/(9!))+...

$$\mathrm{find}\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\left(\mathrm{3}{n}\right)!}\:=\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}!}+\frac{\mathrm{1}}{\mathrm{6}!}+\frac{\mathrm{1}}{\mathrm{9}!}+... \\ $$

Question Number 178787 Answers: 0 Comments: 2

use convolution theorm to find y(t) if Y(s)=(5/((s^2 +1)(s^2 +25)))

$${use}\:{convolution}\:{theorm}\:{to}\:{find}\:{y}\left({t}\right) \\ $$$${if}\:{Y}\left({s}\right)=\frac{\mathrm{5}}{\left({s}^{\mathrm{2}} +\mathrm{1}\right)\left({s}^{\mathrm{2}} +\mathrm{25}\right)} \\ $$

Question Number 178785 Answers: 1 Comments: 0

Question Number 178782 Answers: 2 Comments: 0

Question Number 178779 Answers: 0 Comments: 0

Question Number 178777 Answers: 1 Comments: 6

A=(1/(2018))+(1/(2019))+...+(1/(2050)) find the integer part of (1/A).

$${A}=\frac{\mathrm{1}}{\mathrm{2018}}+\frac{\mathrm{1}}{\mathrm{2019}}+...+\frac{\mathrm{1}}{\mathrm{2050}} \\ $$$${find}\:{the}\:{integer}\:{part}\:{of}\:\frac{\mathrm{1}}{{A}}. \\ $$

Question Number 178780 Answers: 2 Comments: 0

Question Number 178747 Answers: 1 Comments: 0

{ ((3x=2 (mod 5))),((3x=4 (mod 7) )),((3x=6 (mod 11))) :} x=?

$$\:\:\begin{cases}{\mathrm{3x}=\mathrm{2}\:\left(\mathrm{mod}\:\mathrm{5}\right)}\\{\mathrm{3x}=\mathrm{4}\:\left(\mathrm{mod}\:\mathrm{7}\right)\:}\\{\mathrm{3x}=\mathrm{6}\:\left(\mathrm{mod}\:\mathrm{11}\right)}\end{cases} \\ $$$$\:\mathrm{x}=? \\ $$

Question Number 178746 Answers: 1 Comments: 0

Question Number 178743 Answers: 0 Comments: 2

f(x)=arctan((√((x−1)/(2x+1)))) f^(−1) (x)=?

$${f}\left({x}\right)={arctan}\left(\sqrt{\frac{{x}−\mathrm{1}}{\mathrm{2}{x}+\mathrm{1}}}\right)\:\: \\ $$$${f}^{−\mathrm{1}} \left({x}\right)=? \\ $$

Question Number 178737 Answers: 2 Comments: 0

Question Number 178932 Answers: 1 Comments: 0

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