Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1830

Question Number 26438 Answers: 1 Comments: 0

Question Number 26425 Answers: 0 Comments: 0

A body is projected vertically upward with an initial velocity of u. Another Another body is projected with the same initial velocity, t seconds after the first. If T is the time when the two bodies meet, and g the acceleration due to gravity, Show that T = ((2u + gt)/(2g))

$$\mathrm{A}\:\mathrm{body}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{vertically}\:\mathrm{upward}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{u}.\:\mathrm{Another} \\ $$$$\mathrm{Another}\:\mathrm{body}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{with}\:\mathrm{the}\:\mathrm{same}\:\mathrm{initial}\:\mathrm{velocity},\:\mathrm{t}\:\mathrm{seconds}\:\mathrm{after} \\ $$$$\mathrm{the}\:\mathrm{first}.\:\mathrm{If}\:\:\mathrm{T}\:\mathrm{is}\:\mathrm{the}\:\mathrm{time}\:\mathrm{when}\:\mathrm{the}\:\mathrm{two}\:\mathrm{bodies}\:\mathrm{meet},\:\mathrm{and}\:\mathrm{g}\:\mathrm{the}\:\mathrm{acceleration} \\ $$$$\mathrm{due}\:\mathrm{to}\:\mathrm{gravity},\:\mathrm{Show}\:\mathrm{that}\:\:\:\boldsymbol{\mathrm{T}}\:=\:\frac{\mathrm{2u}\:+\:\mathrm{gt}}{\mathrm{2g}} \\ $$

Question Number 26424 Answers: 0 Comments: 0

The front of a train 80m long passes a signal at a speed of 72km/hr. If the rear of the train passes the signal 5s later, Find (a) The magnitude of the acceleration of the train. (b) The speed at which the rear of the train passes the signal.

$$\mathrm{The}\:\mathrm{front}\:\mathrm{of}\:\mathrm{a}\:\mathrm{train}\:\mathrm{80m}\:\mathrm{long}\:\mathrm{passes}\:\mathrm{a}\:\mathrm{signal}\:\mathrm{at}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{72km}/\mathrm{hr}.\:\mathrm{If}\:\mathrm{the} \\ $$$$\mathrm{rear}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}\:\mathrm{passes}\:\mathrm{the}\:\mathrm{signal}\:\mathrm{5s}\:\mathrm{later},\:\mathrm{Find} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{The}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{speed}\:\mathrm{at}\:\mathrm{which}\:\mathrm{the}\:\mathrm{rear}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}\:\mathrm{passes}\:\mathrm{the}\:\mathrm{signal}. \\ $$

Question Number 26405 Answers: 1 Comments: 0

Question Number 26403 Answers: 0 Comments: 5

developp the function f(x)=/x/ 2π periodic in fourier serie .(f even)

$${developp}\:{the}\:{function}\:{f}\left({x}\right)=/{x}/\:\mathrm{2}\pi \\ $$$${periodic}\:{in}\:{fourier}\:{serie}\:.\left({f}\:{even}\right) \\ $$

Question Number 26402 Answers: 1 Comments: 2

find the nature of the serie Σ_(n=0) ^∝ ((n!)/(1+2^n )) .

$${find}\:{the}\:{nature}\:{of}\:{the}\:{serie}\:\:\sum_{{n}=\mathrm{0}} ^{\propto} \frac{{n}!}{\mathrm{1}+\mathrm{2}^{{n}} }\:\:. \\ $$

Question Number 26401 Answers: 1 Comments: 1

find the sum of Σ_(n=1) ^∝ (1/(n 2^n )) .

$${find}\:{the}\:{sum}\:{of}\:\: \\ $$$$\sum_{{n}=\mathrm{1}} ^{\propto} \:\:\frac{\mathrm{1}}{{n}\:\:\mathrm{2}^{{n}} }\:\:. \\ $$

Question Number 26400 Answers: 1 Comments: 0

find the sequence (u_n ) wich verify u_n −2 u_(n−1) +1= 2^n

$${find}\:{the}\:{sequence}\:\left({u}_{{n}} \right)\:{wich}\:{verify}\:{u}_{{n}} \:−\mathrm{2}\:{u}_{{n}−\mathrm{1}} \:+\mathrm{1}=\:\mathrm{2}^{{n}} \\ $$

Question Number 26399 Answers: 2 Comments: 0

calculate ∫∫ _D cos(x^2 +y^2 )dxdy with D=C(o.(√(π/2))).

$${calculate}\:\:\int\int\:_{{D}} {cos}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dxdy}\:\:\:{with}\:\:{D}={C}\left({o}.\sqrt{\frac{\pi}{\mathrm{2}}}\right). \\ $$

Question Number 26398 Answers: 2 Comments: 2

find the value of ∫∫_D x^2 y dxdy on the domain D={(x.y)∈R^2 / x^2 +y^2 −2x≤0 and y≥0}

$${find}\:{the}\:{value}\:{of}\:\:\int\int_{{D}} \:{x}^{\mathrm{2}} {y}\:{dxdy}\:\:\:{on}\:{the}\:{domain} \\ $$$${D}=\left\{\left({x}.{y}\right)\in{R}^{\mathrm{2}} /\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:−\mathrm{2}{x}\leqslant\mathrm{0}\:{and}\:{y}\geqslant\mathrm{0}\right\} \\ $$

Question Number 26397 Answers: 2 Comments: 1

find ∫ (dx/(x(√(1+x^2 )))) and calculate ∫_1 ^3 (dx/(x(√(1+x^2 ))))

$${find}\:\int\:\:\frac{{dx}}{{x}\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\:{and}\:{calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{3}} \:\frac{{dx}}{{x}\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }} \\ $$

Question Number 26396 Answers: 1 Comments: 1

find the value of ∫_0 ^(1 ) (dx/(x^2 +2x +5)) .

$${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}\:} \:\:\frac{{dx}}{{x}^{\mathrm{2}} +\mathrm{2}{x}\:+\mathrm{5}}\:. \\ $$

Question Number 26395 Answers: 1 Comments: 0

find ∫ (dx/(x(√(x^2 +x−1))))

$${find}\:\:\int\:\:\frac{{dx}}{{x}\sqrt{{x}^{\mathrm{2}} +{x}−\mathrm{1}}}\:\: \\ $$

Question Number 26382 Answers: 0 Comments: 1

Question Number 26381 Answers: 0 Comments: 9

Question Number 26380 Answers: 0 Comments: 0

Question Number 26389 Answers: 0 Comments: 1

Question Number 26368 Answers: 0 Comments: 1

y=a^(arctg(√x)) derivative ?

$${y}={a}^{\mathrm{arc}{tg}\sqrt{{x}}} \\ $$$${derivative}\:? \\ $$

Question Number 26365 Answers: 0 Comments: 1

y=log_a (x^2 −16)

$${y}=\mathrm{log}_{{a}} \left({x}^{\mathrm{2}} −\mathrm{16}\right) \\ $$

Question Number 26364 Answers: 0 Comments: 1

y=x^2 (x−1)^2 min=? max=? help pls

$${y}={x}^{\mathrm{2}} \left({x}−\mathrm{1}\right)^{\mathrm{2}} \\ $$$${min}=?\:\:\:{max}=? \\ $$$${help}\:{pls} \\ $$

Question Number 26363 Answers: 0 Comments: 1

lim_(x→0) (((√(1+xsin x))−(√(cos 2x)))/(tg^2 (x/2)))

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\sqrt{\mathrm{1}+{x}\mathrm{sin}\:{x}}−\sqrt{\mathrm{cos}\:\mathrm{2}{x}}}{{tg}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}} \\ $$

Question Number 26362 Answers: 0 Comments: 0

find the value of ∫_0 ^∝ e^(−x) lnx dx for that use A_n = ∫_0 ^n (1− (t/n))^(n−1) ln(t) dt .

$${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\propto} {e}^{−{x}} {lnx}\:{dx}\:\:\:{for}\:{that}\:{use} \\ $$$${A}_{{n}} \:\:=\:\:\:\int_{\mathrm{0}} ^{{n}} \:\left(\mathrm{1}−\:\frac{{t}}{{n}}\right)^{{n}−\mathrm{1}} {ln}\left({t}\right)\:{dt}\:\:. \\ $$

Question Number 26374 Answers: 1 Comments: 0

show that if arg(((z_1 + z_2 )/(z_1 − z_2 ))) = (π/2) then ∣z_1 ∣ = ∣z_2 ∣

$$\mathrm{show}\:\mathrm{that}\:\:\mathrm{if}\:\:\:\:\mathrm{arg}\left(\frac{\mathrm{z}_{\mathrm{1}} \:+\:\mathrm{z}_{\mathrm{2}} }{\mathrm{z}_{\mathrm{1}} \:−\:\mathrm{z}_{\mathrm{2}} }\right)\:=\:\frac{\pi}{\mathrm{2}}\:\:\:\:\mathrm{then}\:\:\:\:\mid\mathrm{z}_{\mathrm{1}} \mid\:=\:\mid\mathrm{z}_{\mathrm{2}} \mid \\ $$

Question Number 26360 Answers: 0 Comments: 1

find the value of ∫_0 ^( ∝ ) ((cos(αx))/(1+x^2 )) dx .

$$\:\:{find}\:{the}\:{value}\:{of}\:\:\:\:\int_{\mathrm{0}} ^{\:\propto\:} \:\frac{{cos}\left(\alpha{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:\:. \\ $$

Question Number 26352 Answers: 1 Comments: 0

x(x+9)=(x+3)(x+7)−10

$${x}\left({x}+\mathrm{9}\right)=\left({x}+\mathrm{3}\right)\left({x}+\mathrm{7}\right)−\mathrm{10} \\ $$

Question Number 26348 Answers: 1 Comments: 1

Pg 1825 Pg 1826 Pg 1827 Pg 1828 Pg 1829 Pg 1830 Pg 1831 Pg 1832 Pg 1833 Pg 1834

Terms of Service

Contact: info@tinkutara.com