Question and Answers Forum

AllQuestion and Answers: Page 655

Question Number 151013 Answers: 1 Comments: 0

If log(logx)^(((3log(logx))/(log(log(logx)))) ) = 27 Find x=?

$$\mathrm{If}\:\:\mathrm{log}\left(\mathrm{log}\boldsymbol{\mathrm{x}}\right)^{\frac{\mathrm{3}\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{logx}}\right)}{\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{logx}}\right)\right)}\:} \:=\:\mathrm{27} \\ $$$$\mathrm{Find}\:\:\boldsymbol{\mathrm{x}}=? \\ $$

Question Number 151010 Answers: 1 Comments: 1

Question Number 151001 Answers: 2 Comments: 0

lim_(x→0) ((((2+sin^2 x))^(1/3) −((1+cos 2x))^(1/3) )/(x tan x)) =?

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{2}+\mathrm{sin}\:^{\mathrm{2}} {x}}−\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{cos}\:\mathrm{2}{x}}}{{x}\:\mathrm{tan}\:{x}}\:=?\: \\ $$$$\:\:\: \\ $$

Question Number 150994 Answers: 0 Comments: 0

show that the improper integral lim_(B→∞) ∫_0 ^( B) sin(x)sin(x^2 )dx converges

$$\: \\ $$$$\:\:\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{improper}\:\mathrm{integral} \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\underset{{B}\rightarrow\infty} {\mathrm{lim}}\:\:\int_{\mathrm{0}} ^{\:{B}} \:\mathrm{sin}\left({x}\right)\mathrm{sin}\left({x}^{\mathrm{2}} \right){dx} \\ $$$$\:\: \\ $$$$\:\:\:\mathrm{converges} \\ $$$$\: \\ $$

Question Number 150993 Answers: 1 Comments: 1

∫_0 ^( 1) ((ln(x+1))/(x^2 +1)) dx = ?

$$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\left({x}+\mathrm{1}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:=\:? \\ $$$$\: \\ $$$$\: \\ $$

Question Number 150992 Answers: 2 Comments: 1

∫_0 ^( ∞) (x/(e^x −1)) dx = ?

$$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{{x}}{{e}^{{x}} −\mathrm{1}}\:{dx}\:=\:? \\ $$$$\: \\ $$$$\: \\ $$

Question Number 150990 Answers: 1 Comments: 0

I = ∫_(0 ) ^( ∞) (dx/(1+x^n )) = ?

$$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{I}\:=\:\int_{\mathrm{0}\:} ^{\:\infty} \:\frac{{dx}}{\mathrm{1}+{x}^{{n}} }\:=\:? \\ $$$$\: \\ $$$$\: \\ $$

Question Number 150986 Answers: 1 Comments: 0

∫_0 ^( 1) ((ln (x+1))/(x^2 +1)) dx = ?

$$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\:\left({x}+\mathrm{1}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:=\:? \\ $$$$\: \\ $$$$\: \\ $$

Question Number 150984 Answers: 0 Comments: 0

Question Number 151073 Answers: 2 Comments: 0

the value of (((50)),(0) )^2 + (((50)),(1) )^2 + (((50)),(2) )^2 +...+ (((50)),((49)) )^2 + (((50)),((50)) )^2

$$\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\begin{pmatrix}{\mathrm{50}}\\{\mathrm{0}}\end{pmatrix}^{\mathrm{2}} +\begin{pmatrix}{\mathrm{50}}\\{\mathrm{1}}\end{pmatrix}^{\mathrm{2}} +\begin{pmatrix}{\mathrm{50}}\\{\mathrm{2}}\end{pmatrix}^{\mathrm{2}} +...+\begin{pmatrix}{\mathrm{50}}\\{\mathrm{49}}\end{pmatrix}^{\mathrm{2}} +\begin{pmatrix}{\mathrm{50}}\\{\mathrm{50}}\end{pmatrix}^{\mathrm{2}} \\ $$

Question Number 151145 Answers: 1 Comments: 0

Question Number 151144 Answers: 1 Comments: 0

Question Number 150979 Answers: 1 Comments: 0

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

$$\mathrm{if}\:\:\mathrm{x}=\sqrt[{\mathrm{3}}]{\mathrm{4}}+\sqrt[{\mathrm{3}}]{\mathrm{2}}+\mathrm{1}\:\:\mathrm{find}\:\:\frac{\mathrm{3}}{\mathrm{x}}+\frac{\mathrm{3}}{\mathrm{x}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }=? \\ $$$$ \\ $$

Question Number 150977 Answers: 1 Comments: 0

Question Number 150976 Answers: 0 Comments: 0

Question Number 150974 Answers: 0 Comments: 0

Question Number 150968 Answers: 1 Comments: 0

Question Number 150967 Answers: 1 Comments: 0

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

$${E}\left({x}+\frac{\mathrm{2}}{{x}}\right)=\frac{{x}^{\mathrm{3}} +\mathrm{1}}{{x}}\:+\frac{{x}^{\mathrm{3}} +\mathrm{8}}{\mathrm{2}{x}^{\mathrm{2}} }\:+\mathrm{3}\:, \\ $$$$\:{E}\left(\mathrm{2}\right)=? \\ $$

Question Number 150966 Answers: 0 Comments: 2

if a;b∈N^+ then determine all the prime numbers p which satisfy (p + 2)^a = (p - 2)^b

$$\mathrm{if}\:\:\mathrm{a};\mathrm{b}\in\mathbb{N}^{+} \:\:\mathrm{then}\:\mathrm{determine}\:\mathrm{all}\:\mathrm{the} \\ $$$$\mathrm{prime}\:\mathrm{numbers}\:\boldsymbol{\mathrm{p}}\:\mathrm{which}\:\mathrm{satisfy} \\ $$$$\left(\mathrm{p}\:+\:\mathrm{2}\right)^{\boldsymbol{\mathrm{a}}} \:=\:\left(\mathrm{p}\:-\:\mathrm{2}\right)^{\boldsymbol{\mathrm{b}}} \\ $$

Question Number 150965 Answers: 1 Comments: 0

Question Number 150963 Answers: 1 Comments: 0

Given x ,y real number such that 0<(y/x)<(1/2). Find minimum value of ((2y)/(x−y)) +((3x)/(x+2y)) .

$${Given}\:{x}\:,{y}\:{real}\:{number}\:{such}\:{that} \\ $$$$\:\mathrm{0}<\frac{{y}}{{x}}<\frac{\mathrm{1}}{\mathrm{2}}.\:{Find}\:{minimum}\:{value} \\ $$$${of}\:\frac{\mathrm{2}{y}}{{x}−{y}}\:+\frac{\mathrm{3}{x}}{{x}+\mathrm{2}{y}}\:.\: \\ $$

Question Number 150960 Answers: 1 Comments: 1

given x ,y is a prime number with x<y and x^3 +y^3 +20l8 =30y^2 −300y+30l8 find the value of x

$$\mathrm{given}\:\mathrm{x}\:,\mathrm{y}\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number}\: \\ $$$$\mathrm{with}\:\mathrm{x}<\mathrm{y}\:\mathrm{and}\:\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} +\mathrm{20l8}\:=\mathrm{30y}^{\mathrm{2}} −\mathrm{300y}+\mathrm{30l8} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$

Question Number 150941 Answers: 2 Comments: 2

∫_1 ^4 ∣x−2∣dx please help me out

$$\int_{\mathrm{1}} ^{\mathrm{4}} \mid{x}−\mathrm{2}\mid{dx} \\ $$$${please}\:{help}\:{me}\:{out} \\ $$

Question Number 150932 Answers: 1 Comments: 0

I=∫((cosx − 2sinx)/(e^(2x) −sinx))dx=^?

$$\mathrm{I}=\int\frac{\mathrm{cosx}\:−\:\mathrm{2sinx}}{\mathrm{e}^{\mathrm{2x}} −\mathrm{sinx}}\mathrm{dx}\overset{?} {=} \\ $$

Question Number 150918 Answers: 2 Comments: 2

Question Number 150916 Answers: 1 Comments: 0

x^((x−1)^2 ) =2x+1 how can it solve this ?help me please

$${x}^{\left({x}−\mathrm{1}\right)^{\mathrm{2}} } =\mathrm{2}{x}+\mathrm{1}\: \\ $$$$ \\ $$$${how}\:{can}\:{it}\:{solve}\:{this}\:?{help}\:{me}\:{please} \\ $$

Pg 650 Pg 651 Pg 652 Pg 653 Pg 654 Pg 655 Pg 656 Pg 657 Pg 658 Pg 659

Contact: info@tinkutara.com