Question and Answers Forum

AllQuestion and Answers: Page 1323

Question Number 80770 Answers: 1 Comments: 1

∫x^2 +3x dx=..

$$\int\mathrm{x}^{\mathrm{2}} +\mathrm{3x}\:\mathrm{dx}=.. \\ $$

Question Number 80764 Answers: 1 Comments: 0

show that ∫_0 ^∞ x arctanh(e^(−αx) )dx=((7ζ(3))/(8α^2 ))

$${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} {x}\:{arctanh}\left({e}^{−\alpha{x}} \right){dx}=\frac{\mathrm{7}\zeta\left(\mathrm{3}\right)}{\mathrm{8}\alpha^{\mathrm{2}} } \\ $$

Question Number 80761 Answers: 0 Comments: 1

Question Number 80760 Answers: 0 Comments: 1

Question Number 80832 Answers: 1 Comments: 2

Identifier les chiffres de l′addition decimale que voici : UN+DOUX+DOUX+DOUX +DOUX=NEUF

$$\boldsymbol{{Identifier}}\:\boldsymbol{{les}}\:\boldsymbol{{chiffres}}\:\boldsymbol{{de}} \\ $$$$\boldsymbol{{l}}'\boldsymbol{{addition}}\:\boldsymbol{{decimale}}\:\boldsymbol{{que}} \\ $$$$\boldsymbol{{voici}}\:: \\ $$$$\boldsymbol{\mathrm{UN}}+\boldsymbol{\mathrm{DOUX}}+\boldsymbol{\mathrm{DOUX}}+\boldsymbol{\mathrm{DOUX}} \\ $$$$+\boldsymbol{\mathrm{DOUX}}=\boldsymbol{\mathrm{NEUF}} \\ $$

Question Number 80752 Answers: 1 Comments: 1

Question Number 80748 Answers: 1 Comments: 3

lim_(x→∞) (((x!)/x^x ))^(1/x) = ?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\frac{{x}!}{{x}^{{x}} }\right)^{\frac{\mathrm{1}}{{x}}} \:=\:? \\ $$

Question Number 80747 Answers: 1 Comments: 1

Question Number 80746 Answers: 1 Comments: 2

what is constan term in expansion (1+3x)^5 ((3/x)+1)^2

$${what}\:{is}\:{constan}\:{term}\:{in}\:{expansion} \\ $$$$\left(\mathrm{1}+\mathrm{3}{x}\right)^{\mathrm{5}} \left(\frac{\mathrm{3}}{{x}}+\mathrm{1}\right)^{\mathrm{2}} \\ $$

Question Number 80739 Answers: 0 Comments: 2

cos^3 θ+2sin^2 θ=3 ^ θ∈(0,2π) what is θ ?

$$\mathrm{cos}\:^{\mathrm{3}} \theta+\mathrm{2sin}\:^{\mathrm{2}} \theta=\mathrm{3}\bar {\:}\theta\in\left(\mathrm{0},\mathrm{2}\pi\right) \\ $$$${what}\:{is}\:\theta\:? \\ $$

Question Number 80733 Answers: 0 Comments: 3

x^2 =2^x ⇒x=?

$$\mathrm{x}^{\mathrm{2}} =\mathrm{2}^{\mathrm{x}} \Rightarrow\mathrm{x}=? \\ $$

Question Number 80731 Answers: 1 Comments: 1

Question Number 80718 Answers: 0 Comments: 2

Evaluate: lim_(x→0) (x/(∣x∣))

$$\mathrm{Evaluate}:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{x}}{\mid\mathrm{x}\mid} \\ $$

Question Number 80708 Answers: 1 Comments: 3

find sum of the series Σ_(n=0) ^∞ (((−1)^n )/((2n+1)(2n+3)))

$${find}\:{sum}\:{of}\:{the}\:{series} \\ $$$$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{2}{n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{3}\right)} \\ $$

Question Number 80706 Answers: 1 Comments: 0

Question Number 80702 Answers: 1 Comments: 4

{ (((1/x)+(1/y)=34)),(((1/(√x))+(1/(√y))=23−(1/(√(xy))) )) :} find the solution.

$$\begin{cases}{\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\mathrm{34}}\\{\frac{\mathrm{1}}{\sqrt{{x}}}+\frac{\mathrm{1}}{\sqrt{{y}}}=\mathrm{23}−\frac{\mathrm{1}}{\sqrt{{xy}}}\:}\end{cases} \\ $$$${find}\:{the}\:{solution}. \\ $$

Question Number 80690 Answers: 0 Comments: 2

Question Number 80689 Answers: 0 Comments: 1

Question Number 80688 Answers: 0 Comments: 1

Question Number 80687 Answers: 0 Comments: 2

Question Number 80682 Answers: 0 Comments: 3

Question Number 80675 Answers: 2 Comments: 1

Question Number 80670 Answers: 1 Comments: 2

lim_(x→π) ((e^(sin x) −1)/(x−π))=?

$$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{{e}^{\mathrm{sin}\:{x}} −\mathrm{1}}{{x}−\pi}=? \\ $$

Question Number 80653 Answers: 0 Comments: 5

lim_(x→0) (((sin x)/x))^(3/x^2 )

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{sin}\:{x}}{{x}}\right)^{\frac{\mathrm{3}}{{x}^{\mathrm{2}} }} \\ $$

Question Number 80650 Answers: 2 Comments: 2

lim_(x→a) (((∣x∣−a)^3 −(∣a∣−a)^3 )/(x−a)) = P , a <0 lim_(x→a) (((∣x∣−a)^2 −(∣a∣−a)^2 )/(x^2 −ax))=?

$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{\left(\mid{x}\mid−{a}\right)^{\mathrm{3}} −\left(\mid{a}\mid−{a}\right)^{\mathrm{3}} }{{x}−{a}}\:=\:{P}\:,\:{a}\:<\mathrm{0} \\ $$$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:\frac{\left(\mid{x}\mid−{a}\right)^{\mathrm{2}} −\left(\mid{a}\mid−{a}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} −{ax}}=? \\ $$

Question Number 80648 Answers: 0 Comments: 9

Pg 1318 Pg 1319 Pg 1320 Pg 1321 Pg 1322 Pg 1323 Pg 1324 Pg 1325 Pg 1326 Pg 1327

Contact: info@tinkutara.com