Question and Answers Forum

AllQuestion and Answers: Page 535

Question Number 159434 Answers: 0 Comments: 0

Question Number 159433 Answers: 0 Comments: 2

((5x^2 −15x−11)/((x+1)(x−2)^2 )) fractio partil

$$\frac{\mathrm{5x}^{\mathrm{2}} −\mathrm{15x}−\mathrm{11}}{\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} }\:\mathrm{fractio}\:\mathrm{partil} \\ $$$$ \\ $$

Question Number 159431 Answers: 1 Comments: 0

Question Number 159268 Answers: 1 Comments: 0

Find: Ω =∫_( 0) ^( 1) ∫_( 0) ^( 1) Li_3 (1 - xy)dxdy

$$\mathrm{Find}: \\ $$$$\Omega\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:{Li}_{\mathrm{3}} \left(\mathrm{1}\:-\:{xy}\right){dxdy} \\ $$$$ \\ $$

Question Number 159278 Answers: 1 Comments: 1

Question Number 159281 Answers: 0 Comments: 2

Question Number 159280 Answers: 1 Comments: 0

Solve in R : (√x) = ((x^2 - 244x + 736)/(1008))

$$\boldsymbol{\mathrm{S}}\mathrm{olve}\:\mathrm{in}\:\mathbb{R}\::\:\:\sqrt{\mathrm{x}}\:=\:\frac{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{244x}\:+\:\mathrm{736}}{\mathrm{1008}} \\ $$$$ \\ $$

Question Number 159276 Answers: 1 Comments: 0

lim_(x→∞) ((1/(x^2 +1))+(1/(x^2 +4))+(1/(x^2 +9))+…)=?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{4}}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{9}}+\ldots\right)=? \\ $$

Question Number 159259 Answers: 1 Comments: 0

montre que Σ_(k=0) ^n C_(2n) ^(2k) =2^(2n−1)

$$\boldsymbol{{montre}}\:\boldsymbol{{que}}\: \\ $$$$\underset{\boldsymbol{{k}}=\mathrm{0}} {\overset{\boldsymbol{{n}}} {\sum}}\boldsymbol{{C}}_{\mathrm{2}\boldsymbol{{n}}} ^{\mathrm{2}\boldsymbol{{k}}} =\mathrm{2}^{\mathrm{2}\boldsymbol{{n}}−\mathrm{1}} \\ $$

Question Number 159249 Answers: 1 Comments: 0

hi ! solve in IN×IN this one : (x+1)(y+2)=2xy. thanks.

$$\boldsymbol{\mathrm{hi}}\:! \\ $$$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{IN}}×\boldsymbol{\mathrm{IN}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{one}}\::\:\left(\boldsymbol{{x}}+\mathrm{1}\right)\left(\boldsymbol{{y}}+\mathrm{2}\right)=\mathrm{2}\boldsymbol{{xy}}. \\ $$$$\boldsymbol{\mathrm{thanks}}. \\ $$

Question Number 159248 Answers: 0 Comments: 0

find the angle of intersection between the followng curves: y^2 = ax, x^3 +y^3 = 3axy

$${find}\:{the}\:{angle}\:{of}\:{intersection}\:{between} \\ $$$${the}\:{followng}\:{curves}: \\ $$$${y}^{\mathrm{2}} \:=\:{ax},\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} \:=\:\mathrm{3}{axy} \\ $$

Question Number 159240 Answers: 0 Comments: 2

Question Number 159239 Answers: 0 Comments: 0

Question Number 159233 Answers: 1 Comments: 0

Question Number 159229 Answers: 2 Comments: 0

lim_(x→∞) x((√(x^2 +2x))+x−2(√(x^2 +x)) )=?

$$\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{x}\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}}+{x}−\mathrm{2}\sqrt{{x}^{\mathrm{2}} +{x}}\:\right)=? \\ $$

Question Number 159226 Answers: 1 Comments: 0

Ω = ∫_0 ^∞ (((x^5 )^(1/6) −(√x))/((1+x^2 ) ln x)) dx =?

$$\:\Omega\:=\:\int_{\mathrm{0}} ^{\infty} \frac{\sqrt[{\mathrm{6}}]{{x}^{\mathrm{5}} }−\sqrt{{x}}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\:\mathrm{ln}\:{x}}\:{dx}\:=? \\ $$

Question Number 159222 Answers: 1 Comments: 1

find an explicit formula for the sequence (2/3), (4/5), (8/9), ((16)/(17)), ((32)/(33)), ...

$$\mathrm{find}\:\mathrm{an}\:\mathrm{explicit}\:\mathrm{formula}\:\mathrm{for} \\ $$$$\mathrm{the}\:\mathrm{sequence} \\ $$$$\frac{\mathrm{2}}{\mathrm{3}},\:\frac{\mathrm{4}}{\mathrm{5}},\:\frac{\mathrm{8}}{\mathrm{9}},\:\frac{\mathrm{16}}{\mathrm{17}},\:\frac{\mathrm{32}}{\mathrm{33}},\:... \\ $$

Question Number 159221 Answers: 2 Comments: 4

find the general term of the sequence 3, 5 , 9, 17, 33, ...

$$\mathrm{find}\:\mathrm{the}\:\mathrm{general}\:\mathrm{term}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{sequence}\: \\ $$$$\mathrm{3},\:\mathrm{5}\:,\:\mathrm{9},\:\mathrm{17},\:\mathrm{33},\:... \\ $$

Question Number 159217 Answers: 1 Comments: 0

Question Number 159189 Answers: 1 Comments: 0

Question Number 159188 Answers: 3 Comments: 2

If α and β are the roots of equation (√(t/(1−t))) + (√((1−t)/t)) = ((13)/6) . Find 2α+3β .

$$\:{If}\:\alpha\:{and}\:\beta\:{are}\:{the}\:{roots}\:{of} \\ $$$${equation}\:\sqrt{\frac{{t}}{\mathrm{1}−{t}}}\:+\:\sqrt{\frac{\mathrm{1}−{t}}{{t}}}\:=\:\frac{\mathrm{13}}{\mathrm{6}}\:. \\ $$$${Find}\:\mathrm{2}\alpha+\mathrm{3}\beta\:. \\ $$

Question Number 159180 Answers: 1 Comments: 0

Question Number 159179 Answers: 1 Comments: 0

X^3 −4X^2 −6X−24 = 0

$$\:\:\mathcal{X}^{\mathrm{3}} −\mathrm{4}\mathcal{X}^{\mathrm{2}} −\mathrm{6}\mathcal{X}−\mathrm{24}\:=\:\mathrm{0} \\ $$

Question Number 159173 Answers: 1 Comments: 0

Question Number 159172 Answers: 1 Comments: 0

Question Number 159171 Answers: 1 Comments: 0

Prove by absurd that log 2 is the number irrational

$${Prove}\:{by}\:{absurd}\:{that}\:\mathrm{log}\:\mathrm{2}\:{is}\:{the} \\ $$$${number}\:{irrational} \\ $$

Pg 530 Pg 531 Pg 532 Pg 533 Pg 534 Pg 535 Pg 536 Pg 537 Pg 538 Pg 539

Contact: info@tinkutara.com