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Question Number 180188 Answers: 1 Comments: 0

Question Number 180186 Answers: 0 Comments: 0

A maintenance manager wishes to repair 8 out of 15 machines down. In how many ways can he create a list of 8 machines a\ If he has to precise the hour of repair of each of them ? b\ If he doesn′t precise the hour of repair of each of them ? c\ Haven chosen the 8 machines, in how many ways can he define the order of repair of each of them ?

Question Number 180162 Answers: 0 Comments: 9

How many words can be formed from letters of the “Your answer is wrong”? So that they shouldn′t start with ′o′ neither ′w′ and shouldn′t end with ′w′, and should be′r′ & ′s′ adjacents. Oya...n, Wen...y, Iog...w , Yourws...e : are invalid Enrsow...g : is valid

$${How}\:{many}\:{words}\:{can}\:{be}\:{formed}\:{from}\:{letters}\:{of}\:{the} \\ $$$$\:``{Your}\:{answer}\:{is}\:{wrong}''?\:{So}\:{that}\:{they}\:{shouldn}'{t} \\ $$$$\:{start}\:{with}\:'{o}'\:{neither}\:'{w}'\:{and}\:\:{shouldn}'{t}\:{end} \\ $$$$\:{with}\:'{w}',\:{and}\:{should}\:{be}'{r}'\:\&\:'{s}'\:{adjacents}. \\ $$$$ \\ $$$$\:\cancel{{O}ya}...{n},\:\cancel{{W}en}...{y},\:{Iog}...\cancel{{w}}\:,\:{You}\cancel{{r}w}\cancel{{s}}...{e}\:\::\:{are}\:{invalid} \\ $$$$\:{Enrsow}...{g}\::\:{is}\:{valid} \\ $$$$ \\ $$

Question Number 180159 Answers: 1 Comments: 0

Express the function f(z)=ze^(iz) in polar form and separate it into Real and Imaginary part. M.m

$$\mathrm{Express}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{z}\right)=\mathrm{ze}^{\mathrm{iz}} \:\mathrm{in}\:\mathrm{polar} \\ $$$$\mathrm{form}\:\mathrm{and}\:\mathrm{separate}\:\mathrm{it}\:\mathrm{into}\:\mathrm{Real}\:\mathrm{and}\: \\ $$$$\mathrm{Imaginary}\:\mathrm{part}. \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$

Question Number 180157 Answers: 2 Comments: 0

As the force on a string increases from 100N to 180N, the string extends by 10cm. The work done in increasing the tension in the string is?

Question Number 180151 Answers: 1 Comments: 0

1)twenty men are invited for a dinner and are to be seated around a circular table.how many diffrent arrangment are possible? 2)with ten men and ten women. how many diffrent arrangment are possible that alternate men and women?

$$\left.\mathrm{1}\right){twenty}\:{men}\:{are}\:{invited}\:{for}\:{a}\:{dinner}\:{and}\:{are}\:{to}\: \\ $$$${be}\:{seated}\:{around}\:{a}\:{circular}\:{table}.{how} \\ $$$${many}\:{diffrent}\:{arrangment}\:{are}\:{possible}? \\ $$$$\left.\mathrm{2}\right){with}\:{ten}\:{men}\:{and}\:{ten}\:{women}.\:{how}\:{many} \\ $$$${diffrent}\:{arrangment}\:{are}\:{possible}\:{that} \\ $$$${alternate}\:{men}\:{and}\:{women}? \\ $$$$ \\ $$

Question Number 180149 Answers: 0 Comments: 0

If ω−Brocard′s angle in △ABC then: Π_(cyc) ((1/(sin ω)) − 2 cos A) ≥ 1

$$\mathrm{If}\:\:\omega−\mathrm{Brocard}'\mathrm{s}\:\mathrm{angle}\:\mathrm{in}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{then}: \\ $$$$\underset{\boldsymbol{\mathrm{cyc}}} {\prod}\:\left(\frac{\mathrm{1}}{\mathrm{sin}\:\omega}\:−\:\mathrm{2}\:\mathrm{cos}\:\mathrm{A}\right)\:\geqslant\:\mathrm{1} \\ $$

Question Number 180145 Answers: 1 Comments: 0

determine 1)L^− [((4s^2 −17s−24)/(s(s+3)(s−4)))] 2)L^− [((5s^2 −4s−7)/((s−3)(s^2 +4)))]

$${determine} \\ $$$$\left.\mathrm{1}\right)\mathcal{L}^{−} \left[\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{{s}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right] \\ $$$$\left.\mathrm{2}\right)\mathcal{L}^{−} \left[\frac{\mathrm{5}{s}^{\mathrm{2}} −\mathrm{4}{s}−\mathrm{7}}{\left({s}−\mathrm{3}\right)\left({s}^{\mathrm{2}} +\mathrm{4}\right)}\right] \\ $$

Question Number 180142 Answers: 0 Comments: 0

Question Number 180139 Answers: 1 Comments: 1

lim_(x→0) ((1/x))^x =?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{x}}\right)^{{x}} =? \\ $$

Question Number 180122 Answers: 0 Comments: 0

Verifiez si q(x,y)=2xy+2xz+2yz est un produit scalaire.

$${Verifiez}\:{si}\: \\ $$$${q}\left({x},{y}\right)=\mathrm{2}{xy}+\mathrm{2}{xz}+\mathrm{2}{yz}\:{est}\:{un}\: \\ $$$${produit}\:{scalaire}. \\ $$

Question Number 180126 Answers: 1 Comments: 1

Question Number 180115 Answers: 1 Comments: 0

Question Number 180095 Answers: 1 Comments: 0

∫_0 ^5 ∫_0 ^(√(25−x^2 )) (√(36−x^2 −y^2 dx dy))

$$\int_{\mathrm{0}} ^{\mathrm{5}} \int_{\mathrm{0}} ^{\sqrt{\mathrm{25}−{x}^{\mathrm{2}} }} \sqrt{\mathrm{36}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} {dx}\:{dy}} \\ $$

Question Number 180082 Answers: 1 Comments: 3

Sachant que A_1 A_2 =10cm: ∡AAB=75^° 1−Determiner l ′angle x 2−Determiner la distance A_1 A6 3−Determiner la hauteur[h]=A_6 B

$${Sachant}\:{que}\:\:\mathrm{A}_{\mathrm{1}} \mathrm{A}_{\mathrm{2}} =\mathrm{10}{cm}:\:\measuredangle\mathrm{AAB}=\mathrm{75}^{°} \\ $$$$\mathrm{1}−{Determiner}\:{l}\:'{angle}\:{x} \\ $$$$\mathrm{2}−{Determiner}\:{la}\:{distance}\:\mathrm{A}_{\mathrm{1}} \mathrm{A6} \\ $$$$\mathrm{3}−{Determiner}\:{la}\:{hauteur}\left[{h}\right]=\mathrm{A}_{\mathrm{6}} \mathrm{B} \\ $$

Question Number 180069 Answers: 4 Comments: 1

a^2 −b^2 = 4 , ab= 2 , a+b= ?

$${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =\:\mathrm{4}\:,\:{ab}=\:\mathrm{2}\:\:\:,\:{a}+{b}=\:? \\ $$

Question Number 180066 Answers: 2 Comments: 1

Question Number 180062 Answers: 1 Comments: 0

how do you write the parametric equation of a plan in space? it is given 3 points A(x_A ,y_A ,z_A ) ; B(x_B ,y_B ,z_B ) and C(x_C ,y_C ,z_C ).

$${how}\:{do}\:{you}\:{write}\:{the}\:{parametric}\:{equation}\:{of}\:{a}\:{plan}\:{in}\:{space}?\:{it}\:{is}\:{given}\:\mathrm{3}\:{points}\: \\ $$$${A}\left({x}_{{A}} ,{y}_{{A}} ,{z}_{{A}} \right)\:;\:{B}\left({x}_{{B}} ,{y}_{{B}} ,{z}_{{B}} \right)\:{and}\:{C}\left({x}_{{C}} ,{y}_{{C}} ,{z}_{{C}} \right). \\ $$

Question Number 180046 Answers: 0 Comments: 0

pls find ∫_(−∞) ^∞ ((cos x)/((1+x^4 )))dx

$${pls}\:{find}\: \\ $$$$\underset{−\infty} {\overset{\infty} {\int}}\frac{{cos}\:{x}}{\left(\mathrm{1}+{x}^{\mathrm{4}} \right)}{dx} \\ $$

Question Number 180107 Answers: 1 Comments: 6

Question Number 180106 Answers: 3 Comments: 0

lim_(x→∞) (√(x^2 +x))−x

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\sqrt{{x}^{\mathrm{2}} +{x}}−{x} \\ $$

Question Number 180104 Answers: 1 Comments: 1

Question Number 180103 Answers: 0 Comments: 4

Solve 2x^2 =8

$${Solve}\:\mathrm{2}{x}^{\mathrm{2}} =\mathrm{8} \\ $$

Question Number 180101 Answers: 1 Comments: 2

Hello mr. Tinku Tara Please, in the comments part, putting the name of the member whom the comment is for him Commentd by Acem on Mr. w as an example Thank you!

$${Hello}\:{mr}.\:{Tinku}\:{Tara} \\ $$$$ \\ $$$${Please},\:{in}\:{the}\:{comments}\:{part},\:{putting}\:{the}\:{name} \\ $$$$\:{of}\:{the}\:{member}\:{whom}\:{the}\:{comment}\:{is}\:{for}\:{him} \\ $$$$ \\ $$$${Commentd}\:{by}\:{Acem}\:{on}\:{Mr}.\:{w}\:\:{as}\:{an}\:{example} \\ $$$$ \\ $$$${Thank}\:{you}! \\ $$

Question Number 180043 Answers: 4 Comments: 3

Question Number 180027 Answers: 1 Comments: 0

There are 4 identical mathematics books, 3 identical physics books, 2 identical chemistry books and 2 identical biology books. in how many ways can you compile these books such that same books are not mutually adjacent. (an unsolved old question)

$$\mathrm{There}\:\mathrm{are}\:\mathrm{4}\:\mathrm{identical}\:\mathrm{mathematics} \\ $$$$\mathrm{books},\:\mathrm{3}\:\mathrm{identical}\:\mathrm{physics}\:\mathrm{books},\:\mathrm{2} \\ $$$$\mathrm{identical}\:\mathrm{chemistry}\:\mathrm{books}\:\mathrm{and}\:\mathrm{2} \\ $$$$\mathrm{identical}\:\mathrm{biology}\:\mathrm{books}.\:\mathrm{in}\:\mathrm{how}\:\mathrm{many} \\ $$$$\mathrm{ways}\:\:\mathrm{can}\:\mathrm{you}\:\mathrm{compile}\:\mathrm{these}\:\mathrm{books} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{same}\:\mathrm{books}\:\mathrm{are}\:\mathrm{not}\:\mathrm{mutually} \\ $$$$\mathrm{adjacent}. \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right) \\ $$

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