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Question Number 55449 Answers: 1 Comments: 0

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Question Number 55433 Answers: 1 Comments: 0

Question Number 55431 Answers: 1 Comments: 1

2 plane parallel conducting plates are held horizontal,one above the other in a vacuum.Electrons having a speed of 6×10^6 m/s and moves normally to the plates enter the region between them through a hole in the lower plate which is earthed.What potential must be applied to the other plate so that the electrons just fails to reach it?What is the subsequent motion of these electrons? (ratio of charge to mass of electron= 1.8×10^(11) Ckg^(−1) )

$$\mathrm{2}\:{plane}\:{parallel}\:{conducting}\:{plates}\:{are} \\ $$$${held}\:{horizontal},{one}\:{above}\:{the}\:{other}\:{in} \\ $$$${a}\:{vacuum}.{Electrons}\:{having}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{6}×\mathrm{10}^{\mathrm{6}} {m}/{s}\:{and}\:{moves}\:{normally}\:{to}\:{the} \\ $$$${plates}\:{enter}\:{the}\:{region}\:{between}\:{them} \\ $$$${through}\:{a}\:{hole}\:{in}\:{the}\:{lower}\:{plate}\:{which} \\ $$$${is}\:{earthed}.{What}\:{potential}\:{must}\:{be} \\ $$$${applied}\:{to}\:{the}\:{other}\:{plate}\:{so}\:{that}\:{the} \\ $$$${electrons}\:{just}\:{fails}\:{to}\:{reach}\:{it}?{What} \\ $$$${is}\:{the}\:{subsequent}\:{motion}\:{of}\:{these} \\ $$$${electrons}? \\ $$$$\left({ratio}\:{of}\:{charge}\:{to}\:{mass}\:{of}\:{electron}=\right. \\ $$$$\left.\mathrm{1}.\mathrm{8}×\mathrm{10}^{\mathrm{11}} {Ckg}^{−\mathrm{1}} \right) \\ $$

Question Number 55422 Answers: 0 Comments: 1

Please see these questions:

$${Please}\:{see}\:{these}\:{questions}: \\ $$

Question Number 55418 Answers: 3 Comments: 1

Question Number 55401 Answers: 0 Comments: 3

any wanna blow their mind

$${any}\:{wanna}\:{blow}\:{their}\:{mind} \\ $$

Question Number 55415 Answers: 2 Comments: 0

a, b, d are gp. such that a, b, c are real. if a + b + c = 26 and a^2 + b^2 + c^2 = 364, find b ?

$$\mathrm{a},\:\mathrm{b},\:\mathrm{d}\:\:\mathrm{are}\:\mathrm{gp}.\:\mathrm{such}\:\mathrm{that}\:\:\mathrm{a},\:\mathrm{b},\:\mathrm{c}\:\mathrm{are}\:\mathrm{real}.\:\:\mathrm{if}\:\: \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:\:=\:\:\mathrm{26}\:\:\:\mathrm{and}\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\mathrm{364},\:\:\:\:\:\mathrm{find}\:\:\mathrm{b}\:\:? \\ $$

Question Number 55412 Answers: 0 Comments: 0

Solve for x and y. 2^x + 2y = 1 ....... equation (i) 3^(2x) + y = 27 ..... equation (ii)

$$\mathrm{Solve}\:\mathrm{for}\:\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}. \\ $$$$\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{x}} \:+\:\mathrm{2y}\:\:=\:\:\mathrm{1}\:\:\:\:\:\:\:.......\:\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\mathrm{3}^{\mathrm{2x}} \:+\:\mathrm{y}\:\:=\:\:\mathrm{27}\:\:\:\:\:\:\:\:.....\:\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$

Question Number 55411 Answers: 1 Comments: 0

Question Number 55410 Answers: 1 Comments: 0

Question Number 55408 Answers: 1 Comments: 0

Question Number 55375 Answers: 1 Comments: 1

Question Number 55374 Answers: 1 Comments: 0

Given matrices A(x)= [((x−1),3),(4,(x+3)) ]∈ M_2 (R). The smallest det(A(x)) is..

$$\mathrm{Given}\:\mathrm{matrices}\:{A}\left({x}\right)=\begin{bmatrix}{{x}−\mathrm{1}}&{\mathrm{3}}\\{\mathrm{4}}&{{x}+\mathrm{3}}\end{bmatrix}\in\:{M}_{\mathrm{2}} \left(\mathbb{R}\right). \\ $$$$\mathrm{The}\:\mathrm{smallest}\:\mathrm{det}\left({A}\left({x}\right)\right)\:\mathrm{is}.. \\ $$

Question Number 55373 Answers: 1 Comments: 1

lim_(n→∝) ∫_0 ^1 ((x^n e^x^n )/(cos x)) dx=...

$$\underset{{n}\rightarrow\propto} {\mathrm{lim}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{{n}} {e}^{{x}^{{n}} } }{\mathrm{cos}\:{x}}\:{dx}=... \\ $$

Question Number 55368 Answers: 1 Comments: 0

Question Number 55364 Answers: 0 Comments: 0

prove that ∫_(−∞ ) ^∞ f(x)dx=1 such that f(x)=(1/((√n) β((n/2),(1/2))))(1+(x^2 /n))^(−(1/2)(1+n)) and β((n/2),(1/2))=∫_0 ^∞ (x^((n/2)−1) /((1+x)^(3/2) ))dx

$$\mathrm{prove}\:\mathrm{that}\:\int_{−\infty\:} ^{\infty} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{1} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\sqrt{\mathrm{n}}\:\beta\left(\frac{\mathrm{n}}{\mathrm{2}},\frac{\mathrm{1}}{\mathrm{2}}\right)}\left(\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{n}}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{1}+\mathrm{n}\right)} \\ $$$$\mathrm{and}\:\beta\left(\frac{\mathrm{n}}{\mathrm{2}},\frac{\mathrm{1}}{\mathrm{2}}\right)=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{x}^{\frac{\mathrm{n}}{\mathrm{2}}−\mathrm{1}} }{\left(\mathrm{1}+\mathrm{x}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\mathrm{dx} \\ $$

Question Number 55362 Answers: 2 Comments: 1

Question Number 55360 Answers: 2 Comments: 1

∫_1 ^( 2) (√(sin (3x−x^2 −2)))dx + (1/2)∫_3 ^1 (√(sin(((4t−t^2 −3)/4))))dt =?

$$\:\int_{\mathrm{1}} ^{\:\mathrm{2}} \sqrt{\mathrm{sin}\:\left(\mathrm{3}{x}−{x}^{\mathrm{2}} −\mathrm{2}\right)}{dx}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{3}} ^{\mathrm{1}} \sqrt{{sin}\left(\frac{\mathrm{4}{t}−{t}^{\mathrm{2}} −\mathrm{3}}{\mathrm{4}}\right)}{dt}\:\:=? \\ $$

Question Number 55359 Answers: 1 Comments: 0

Find a formula for the general term of the squence 1, 2, 2, 3, 3, 3, 4, 4, 4,4, ...

$$\mathrm{Find}\:\mathrm{a}\:\mathrm{formula}\:\mathrm{for}\:\mathrm{the}\:\mathrm{general}\: \\ $$$$\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{squence} \\ $$$$\mathrm{1},\:\mathrm{2},\:\mathrm{2},\:\mathrm{3},\:\mathrm{3},\:\mathrm{3},\:\mathrm{4},\:\mathrm{4},\:\mathrm{4},\mathrm{4},\:... \\ $$

Question Number 55358 Answers: 0 Comments: 0

Determine all functions f : N → N satisfying xf(y)+yf(x)=(x+y)f(x^2 +y^2 ) for all positive integers x and y

$$\mathrm{Determine}\:\mathrm{all}\:\mathrm{functions}\:{f}\::\:\mathbb{N}\:\rightarrow\:\mathbb{N}\: \\ $$$$\mathrm{satisfying} \\ $$$${xf}\left({y}\right)+{yf}\left({x}\right)=\left({x}+{y}\right){f}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right) \\ $$$$\mathrm{for}\:\mathrm{all}\:\mathrm{positive}\:\mathrm{integers}\:{x}\:\mathrm{and}\:{y} \\ $$

Question Number 55352 Answers: 0 Comments: 0

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Question Number 55344 Answers: 0 Comments: 6

A whatsapp group contains 7 women and 3 men.If they are leaving the group one at a time from the group what is the probability of a woman leaving then a man leaving and so on alternately until only a woman is remaining?

$${A}\:{whatsapp}\:{group}\:{contains}\:\mathrm{7}\:{women} \\ $$$${and}\:\mathrm{3}\:{men}.{If}\:{they}\:{are}\:{leaving} \\ $$$${the}\:{group}\:{one}\:{at}\:{a}\:{time}\:{from}\:{the} \\ $$$${group}\:{what}\:{is}\:{the}\:{probability}\:{of}\:{a} \\ $$$${woman}\:{leaving}\:{then}\:{a}\:{man}\:{leaving} \\ $$$${and}\:{so}\:{on}\:{alternately}\:{until}\:{only}\:{a} \\ $$$${woman}\:{is}\:{remaining}? \\ $$$$ \\ $$

Question Number 55333 Answers: 1 Comments: 0

The sum of all but one of the interior angles of a convex polygon equals 2525° . find the measure of the exterior angle adjacent to the remaining interior angle. can you please help if possible with diagram

$${The}\:{sum}\:{of}\:{all}\:{but}\:{one}\:{of}\:{the}\:{interior} \\ $$$${angles}\:{of}\:{a}\:{convex}\:{polygon}\:{equals}\: \\ $$$$\mathrm{2525}°\:.\:{find}\:{the}\:{measure}\:{of}\:{the} \\ $$$${exterior}\:{angle}\:{adjacent}\:{to}\:{the} \\ $$$${remaining}\:{interior}\:{angle}.\: \\ $$$${can}\:{you}\:{please}\:{help}\:{if}\:{possible}\:{with} \\ $$$${diagram}\: \\ $$

Question Number 55331 Answers: 0 Comments: 0

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