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AllQuestion and Answers: Page 1797

Question Number 29363 Answers: 0 Comments: 1

Question Number 29362 Answers: 1 Comments: 2

Question Number 29360 Answers: 2 Comments: 1

Two stones are thrown up simultaneously from the edge of a cliff 200m high with initial speeds of 15ms^(−1) and 30ms^(−1) . Verify that the graph shown below correctly represents the time variation of the relative position of the second stone with respect to the first.Neglect air resistance and assume that the stones do not rebound.Take g=10m/s^2 . Give the equations of the linear and curved parts of the plot.

$${Two}\:{stones}\:{are}\:{thrown}\:{up}\: \\ $$$${simultaneously}\:{from}\:{the}\:{edge}\:{of} \\ $$$${a}\:{cliff}\:\mathrm{200}{m}\:{high}\:{with}\:{initial} \\ $$$${speeds}\:{of}\:\mathrm{15}{ms}^{−\mathrm{1}} \:{and}\:\mathrm{30}{ms}^{−\mathrm{1}} . \\ $$$${Verify}\:{that}\:{the}\:{graph}\:{shown} \\ $$$${below}\:{correctly}\:{represents}\:{the} \\ $$$${time}\:{variation}\:{of}\:{the}\:{relative} \\ $$$${position}\:{of}\:{the}\:{second}\:{stone} \\ $$$${with}\:{respect}\:{to}\:{the}\:{first}.{Neglect} \\ $$$${air}\:{resistance}\:{and}\:{assume}\:{that} \\ $$$${the}\:{stones}\:{do}\:{not}\:{rebound}.{Take} \\ $$$${g}=\mathrm{10}{m}/{s}^{\mathrm{2}} .\:{Give}\:{the}\:{equations}\:{of} \\ $$$${the}\:{linear}\:{and}\:{curved}\:{parts}\:{of} \\ $$$${the}\:{plot}. \\ $$

Question Number 29359 Answers: 1 Comments: 0

On a two lane road,car A is travelling with a speed of 36km/h. Two cars B and C approach A in opposite directions with a speed of 54km/h each.At a certain instant, when the distance AB is equal to AC,both being 1km,B decides to overtake A before C does.What minimum acceleration of carB is required to avoid an accident?

$${On}\:{a}\:{two}\:{lane}\:{road},{car}\:{A}\:{is} \\ $$$${travelling}\:{with}\:{a}\:{speed}\:{of}\:\mathrm{36}{km}/{h}. \\ $$$${Two}\:{cars}\:{B}\:{and}\:{C}\:{approach}\:{A}\:{in} \\ $$$${opposite}\:{directions}\:{with}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{54}{km}/{h}\:{each}.{At}\:{a}\:{certain}\:{instant}, \\ $$$${when}\:{the}\:{distance}\:{AB}\:{is}\:{equal} \\ $$$${to}\:{AC},{both}\:{being}\:\mathrm{1}{km},{B}\:{decides} \\ $$$${to}\:{overtake}\:{A}\:{before}\:{C}\:{does}.{What} \\ $$$${minimum}\:{acceleration}\:{of}\:{carB} \\ $$$${is}\:{required}\:{to}\:{avoid}\:{an}\:{accident}? \\ $$

Question Number 29354 Answers: 2 Comments: 0

3sin^2 θ −sin θcos θ −4cos^2 θ=0 find the values of θ if θ lies between 0 and 360

$$\mathrm{3sin}\:^{\mathrm{2}} \theta\:−\mathrm{sin}\:\theta\mathrm{cos}\:\theta\:−\mathrm{4cos}\:^{\mathrm{2}} \theta=\mathrm{0} \\ $$$${find}\:{the}\:{values}\:{of}\:\theta\:{if}\:\theta\:{lies} \\ $$$${between}\:\mathrm{0}\:{and}\:\mathrm{360} \\ $$

Question Number 29349 Answers: 0 Comments: 1

let give f(x)= (x^n −1) e^(−x) with n from N^★ find f^((n)) (0) .

$${let}\:{give}\:{f}\left({x}\right)=\:\left({x}^{{n}} −\mathrm{1}\right)\:{e}^{−{x}} \:\:{with}\:{n}\:{from}\:{N}^{\bigstar} \: \\ $$$${find}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right)\:. \\ $$

Question Number 29347 Answers: 0 Comments: 0

y^((1)) +((2/(xln x))+(((1−4x^2 ln x))/(x(1−2xln x))))y=0

$${y}^{\left(\mathrm{1}\right)} +\left(\frac{\mathrm{2}}{{x}\mathrm{ln}\:{x}}+\frac{\left(\mathrm{1}−\mathrm{4}{x}^{\mathrm{2}} \mathrm{ln}\:{x}\right)}{{x}\left(\mathrm{1}−\mathrm{2}{x}\mathrm{ln}\:{x}\right)}\right){y}=\mathrm{0} \\ $$

Question Number 29345 Answers: 1 Comments: 0

solve simultanrodly x+y=5.....(1) x^y +y^x =17.....(2)

$$\mathrm{solve}\:\mathrm{simultanrodly} \\ $$$$ \\ $$$$\mathrm{x}+\mathrm{y}=\mathrm{5}.....\left(\mathrm{1}\right) \\ $$$$\mathrm{x}^{\mathrm{y}} +\mathrm{y}^{\mathrm{x}} =\mathrm{17}.....\left(\mathrm{2}\right) \\ $$

Question Number 29423 Answers: 0 Comments: 1

Question Number 29332 Answers: 1 Comments: 0

Question Number 29326 Answers: 1 Comments: 0

The unit digit of the square of a number and the units digit of the cube of the number are equal to the unit digit of the number. How many values are possible for the units digits of such numbers?

$$\mathrm{The}\:\mathrm{unit}\:\mathrm{digit}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}\:\mathrm{of}\:\mathrm{a}\:\mathrm{number} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{units}\:\mathrm{digit}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{number}\:\mathrm{are}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{unit}\:\mathrm{digit}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{number}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{values}\:\mathrm{are}\: \\ $$$$\mathrm{possible}\:\mathrm{for}\:\mathrm{the}\:\mathrm{units}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{such} \\ $$$$\mathrm{numbers}? \\ $$

Question Number 29324 Answers: 1 Comments: 0

Question Number 29322 Answers: 0 Comments: 5

Question Number 29321 Answers: 0 Comments: 1

is it possible to divide an angle into three equal parts?

$$\mathrm{is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{divide}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{into}\:\mathrm{three}\:\mathrm{equal}\:\mathrm{parts}? \\ $$

Question Number 29320 Answers: 0 Comments: 1

Find the principal argument of ((−1+2i)/(1−3i)) .

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{principal}\:\mathrm{argument}\:\mathrm{of}\:\frac{−\mathrm{1}+\mathrm{2i}}{\mathrm{1}−\mathrm{3i}}\:. \\ $$

Question Number 29319 Answers: 0 Comments: 0

mxmz]33]2n3xmxksnd

$$\left.{m}\left.{xmz}\right]\mathrm{33}\right]\mathrm{2}{n}\mathrm{3}{xmxksnd} \\ $$

Question Number 29313 Answers: 0 Comments: 0

Question Number 29311 Answers: 0 Comments: 0

∫(2x^3 −3x^2 +3x−1)^(1/5) dx and limit is from 0 to 1

$$\int\left(\mathrm{2}{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{5}}} {dx}\:{and}\:{limit}\:{is}\:{from}\:\mathrm{0}\:{to}\:\mathrm{1} \\ $$

Question Number 29310 Answers: 0 Comments: 0

Show that the sequence: {1 + (1/2) + (1/4) + ... + (1/2^n )}_(n = 0) ^∞ is convergent.

$$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sequence}:\:\:\:\:\:\left\{\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{4}}\:+\:...\:+\:\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{n}} }\right\}_{\mathrm{n}\:\:=\:\mathrm{0}} ^{\infty} \:\:\:\:\:\:\:\:\:\mathrm{is}\:\mathrm{convergent}. \\ $$

Question Number 29314 Answers: 0 Comments: 3

Question Number 29287 Answers: 0 Comments: 0

plz is there any app for medical forum just like this one

$${plz}\:{is}\:{there}\:{any}\:{app}\:{for}\:{medical} \\ $$$${forum}\:{just}\:{like}\:{this}\:{one} \\ $$

Question Number 29286 Answers: 0 Comments: 1

To Developer Tinku Tara: Since the recent updates, it is not more possible to change an existing image via Edit Post”. This was possible in earlier versions of the app. Can you please fix this problem? Thank you!

$${To}\:{Developer}\:{Tinku}\:{Tara}: \\ $$$${Since}\:{the}\:{recent}\:{updates},\:{it}\:{is}\:{not}\:{more} \\ $$$${possible}\:{to}\:{change}\:{an}\:{existing}\:{image}\:{via} \\ $$$${Edit}\:{Post}''.\:{This}\:{was}\:{possible}\:{in}\:{earlier} \\ $$$${versions}\:{of}\:{the}\:{app}.\:{Can}\:{you}\:{please} \\ $$$${fix}\:{this}\:{problem}?\:{Thank}\:{you}! \\ $$

Question Number 29276 Answers: 1 Comments: 0

if the (x/a)+(y/b)=1 passes through the point lf intersection of the lines x+y=3 and 2x−3y=1 and is parallel to the line y=x−6 then find the value of a and b.

$${if}\:{the}\:\frac{{x}}{{a}}+\frac{{y}}{{b}}=\mathrm{1}\:{passes}\:{through}\:{the}\:{point}\:{lf}\:{intersection}\:{of}\:{the}\:{lines}\:{x}+{y}=\mathrm{3}\:{and}\:\mathrm{2}{x}−\mathrm{3}{y}=\mathrm{1}\:{and}\:{is}\:{parallel}\:{to}\:{the}\:{line}\:{y}={x}−\mathrm{6}\:{then}\:{find}\:\:{the}\:{value}\:{of}\:{a}\:\:{and}\:{b}.\: \\ $$

Question Number 29275 Answers: 0 Comments: 0

x(1−2xln x)y^((2)) +(1−4x^2 ln x)y^((1)) −(2+4x)y=0 y_1 =ln x the public answer?

$${x}\left(\mathrm{1}−\mathrm{2}{x}\mathrm{ln}\:{x}\right){y}^{\left(\mathrm{2}\right)} +\left(\mathrm{1}−\mathrm{4}{x}^{\mathrm{2}} \mathrm{ln}\:{x}\right){y}^{\left(\mathrm{1}\right)} −\left(\mathrm{2}+\mathrm{4}{x}\right){y}=\mathrm{0} \\ $$$${y}_{\mathrm{1}} =\mathrm{ln}\:{x} \\ $$$${the}\:{public}\:{answer}? \\ $$

Question Number 29268 Answers: 0 Comments: 2

A man moves 20m North , then 12m East and finally 15m South.His displacement from the starting point is now (a) 13m (b) 27m (c) 47m (d) 23m

$$\mathrm{A}\:\mathrm{man}\:\mathrm{moves}\:\:\mathrm{20m}\:\:\mathrm{North}\:,\:\:\mathrm{then}\:\:\mathrm{12m}\:\mathrm{East}\:\:\mathrm{and}\:\:\mathrm{finally}\:\:\mathrm{15m}\:\:\mathrm{South}.\mathrm{His} \\ $$$$\mathrm{displacement}\:\mathrm{from}\:\mathrm{the}\:\mathrm{starting}\:\mathrm{point}\:\mathrm{is}\:\mathrm{now} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{13m}\:\:\left(\mathrm{b}\right)\:\:\mathrm{27m}\:\:\left(\mathrm{c}\right)\:\:\mathrm{47m}\:\:\left(\mathrm{d}\right)\:\:\mathrm{23m} \\ $$

Question Number 29272 Answers: 0 Comments: 0

(2x−3x^3 )y^((2)) +4y^((1)) +6xy=0 this equation has an answer in the form of several sentences. get the public answer.

$$\left(\mathrm{2}{x}−\mathrm{3}{x}^{\mathrm{3}} \right){y}^{\left(\mathrm{2}\right)} +\mathrm{4}{y}^{\left(\mathrm{1}\right)} +\mathrm{6}{xy}=\mathrm{0} \\ $$$${this}\:{equation}\:{has}\:{an}\:{answer}\:{in}\:{the}\:{form}\:{of}\:{several}\:{sentences}. \\ $$$${get}\:{the}\:{public}\:{answer}. \\ $$

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