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Question Number 187528 Answers: 1 Comments: 0

∫_((9π)/2) ^((7π)/(1.5)) (dx/( (√(1−sinx))))=?

$$\underset{\frac{\mathrm{9}\pi}{\mathrm{2}}} {\overset{\frac{\mathrm{7}\pi}{\mathrm{1}.\mathrm{5}}} {\int}}\frac{{dx}}{\:\sqrt{\mathrm{1}−{sinx}}}=? \\ $$

Question Number 187526 Answers: 2 Comments: 0

∫(dx/(cscx−1))=?

$$\int\frac{{dx}}{{cscx}−\mathrm{1}}=? \\ $$

Question Number 187525 Answers: 1 Comments: 0

∫_(−1) ^2 (dx/( (√(∣x−1∣))))=?

$$\underset{−\mathrm{1}} {\overset{\mathrm{2}} {\int}}\frac{{dx}}{\:\sqrt{\mid{x}−\mathrm{1}\mid}}=? \\ $$

Question Number 187524 Answers: 2 Comments: 0

Question Number 187568 Answers: 0 Comments: 1

determiner la vitesse au[ponr A le temps mis par la balle pour passer de Oa E v_0 =5m/s

$${determiner}\:{la}\:{vitesse}\:{au}\left[{ponr}\:{A}\right. \\ $$$${le}\:{temps}\:{mis}\:{par}\:{la}\:{balle}\:{pour} \\ $$$${passer}\:{de}\:{Oa}\:{E}\:{v}_{\mathrm{0}} =\mathrm{5}{m}/{s} \\ $$

Question Number 187515 Answers: 0 Comments: 0

Given f(x)+2f((1/x))+3f((x/(x−1)))=x f(x)=?

$$\:{Given}\:{f}\left({x}\right)+\mathrm{2}{f}\left(\frac{\mathrm{1}}{{x}}\right)+\mathrm{3}{f}\left(\frac{{x}}{{x}−\mathrm{1}}\right)={x} \\ $$$$\:{f}\left({x}\right)=? \\ $$

Question Number 187513 Answers: 0 Comments: 1

Question Number 187504 Answers: 0 Comments: 2

Question Number 187498 Answers: 1 Comments: 0

Question Number 187496 Answers: 1 Comments: 1

Question Number 187495 Answers: 0 Comments: 0

Question Number 187491 Answers: 1 Comments: 0

{ ((sin x+sin y=a)),((cos x+cos y=b)) :} tan x+tan y=?

$$\:\:\begin{cases}{\mathrm{sin}\:{x}+\mathrm{sin}\:{y}={a}}\\{\mathrm{cos}\:{x}+\mathrm{cos}\:{y}={b}}\end{cases} \\ $$$$\:\:\:\:\mathrm{tan}\:{x}+\mathrm{tan}\:{y}=? \\ $$

Question Number 187482 Answers: 3 Comments: 1

Question Number 187478 Answers: 1 Comments: 0

let a and b be positive integers such that ab + 1 divides a^2 + b^2 . show that ((a^2 + b^2 )/(ab + 1)) is the sequare of an integer.

$$\: \\ $$$$\:\:\:\boldsymbol{{let}}\:\boldsymbol{{a}}\:\boldsymbol{{and}}\:\boldsymbol{{b}}\:\boldsymbol{{be}}\:\boldsymbol{{positive}}\:\boldsymbol{{integers}}\:\:\:\:\: \\ $$$$\:\:\:\boldsymbol{{such}}\:\boldsymbol{{that}}\:\boldsymbol{{ab}}\:+\:\mathrm{1}\:\boldsymbol{{divides}}\:\boldsymbol{{a}}^{\mathrm{2}} \:+\:\boldsymbol{{b}}^{\mathrm{2}} .\:\:\:\:\: \\ $$$$\:\:\:\:\:\boldsymbol{{show}}\:\boldsymbol{{that}}\:\frac{\boldsymbol{{a}}^{\mathrm{2}} \:+\:\boldsymbol{{b}}^{\mathrm{2}} }{\boldsymbol{{ab}}\:+\:\mathrm{1}} \\ $$$$\:\:\:\:\:\:\boldsymbol{{is}}\:\boldsymbol{{the}}\:\boldsymbol{{sequare}}\:\boldsymbol{{of}}\:\boldsymbol{{an}}\:\boldsymbol{{integer}}. \\ $$$$ \\ $$

Question Number 187476 Answers: 1 Comments: 0

Question Number 187473 Answers: 1 Comments: 0

Question Number 187458 Answers: 2 Comments: 0

Ω= ∫_0 ^( (π/2)) (( 2sin(x) − cos(x))/(sin(x) + cos (x))) dx = ? −−−−

$$ \\ $$$$ \\ $$$$\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:\:\mathrm{2}{sin}\left({x}\right)\:−\:{cos}\left({x}\right)}{{sin}\left({x}\right)\:+\:{cos}\:\left({x}\right)}\:{dx}\:=\:? \\ $$$$−−−− \\ $$

Question Number 187453 Answers: 2 Comments: 0

∫_0 ^1 (√(sinx))dx=?

$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\sqrt{\mathrm{sin}{x}}\mathrm{d}{x}=? \\ $$

Question Number 187452 Answers: 2 Comments: 0

Question Number 187451 Answers: 1 Comments: 0

Question Number 187449 Answers: 0 Comments: 0

Question Number 187444 Answers: 0 Comments: 1

2x+(3/8)=(x)^(1/4) x=?

$$\mathrm{2}{x}+\frac{\mathrm{3}}{\mathrm{8}}=\sqrt[{\mathrm{4}}]{{x}} \\ $$$${x}=? \\ $$

Question Number 187442 Answers: 1 Comments: 0

If (7^x /(1 + 7^x )) = (3/7) find ((2401^x )/(1 + 2401^x )) = ?

$$\mathrm{If}\:\:\:\:\:\frac{\mathrm{7}^{\boldsymbol{\mathrm{x}}} }{\mathrm{1}\:+\:\mathrm{7}^{\boldsymbol{\mathrm{x}}} }\:\:=\:\:\frac{\mathrm{3}}{\mathrm{7}}\:\:\:\:\:\mathrm{find}\:\:\:\:\frac{\mathrm{2401}^{\boldsymbol{\mathrm{x}}} }{\mathrm{1}\:+\:\mathrm{2401}^{\boldsymbol{\mathrm{x}}} }\:\:=\:\:? \\ $$

Question Number 187440 Answers: 0 Comments: 1

if y^(x−y) =(x^2 /y) then x−y=?

$${if}\:\:{y}^{{x}−{y}} =\frac{{x}^{\mathrm{2}} }{{y}}\:{then}\:{x}−{y}=? \\ $$

Question Number 187437 Answers: 1 Comments: 0

Question Number 187433 Answers: 1 Comments: 0

Prove that ▽×▽φ=0. If φ is assumed to be continous and having continous first and second order derivatives. M.m

$$\mathrm{Prove}\:\mathrm{that}\:\bigtriangledown×\bigtriangledown\phi=\mathrm{0}.\:\mathrm{If}\:\phi\:\mathrm{is} \\ $$$$\mathrm{assumed}\:\mathrm{to}\:\mathrm{be}\:\mathrm{continous}\:\mathrm{and} \\ $$$$\mathrm{having}\:\mathrm{continous}\:\mathrm{first}\:\mathrm{and}\:\mathrm{second} \\ $$$$\mathrm{order}\:\mathrm{derivatives}. \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$

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