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Question Number 70705 Answers: 1 Comments: 0

(d/dx)(log_(10) x)=?

$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{log}_{\mathrm{10}} \mathrm{x}\right)=? \\ $$

Question Number 70704 Answers: 1 Comments: 2

z^4 −2z^2 +2=0

$$\mathrm{z}^{\mathrm{4}} −\mathrm{2z}^{\mathrm{2}} +\mathrm{2}=\mathrm{0} \\ $$

Question Number 70696 Answers: 1 Comments: 4

∫x^x dx=?

$$\int{x}^{{x}} {dx}=? \\ $$

Question Number 70694 Answers: 1 Comments: 0

Question Number 70688 Answers: 0 Comments: 0

Question Number 70686 Answers: 2 Comments: 0

find ∫ (dx/(1+x^6 ))

$${find}\:\int\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{6}} } \\ $$

Question Number 70679 Answers: 0 Comments: 2

Hi, i wanna learn more english. can someone help me? write please +584249229498

$${Hi},\:{i}\:{wanna}\:{learn}\:{more}\:{english}. \\ $$$${can}\:{someone}\:{help}\:{me}? \\ $$$${write}\:{please}\:+\mathrm{584249229498} \\ $$

Question Number 70672 Answers: 1 Comments: 1

Question Number 70669 Answers: 0 Comments: 5

Question Number 70659 Answers: 1 Comments: 0

find the range algrbraically f(x)=(√(x^2 −1))

$${find}\:{the}\:{range}\:{algrbraically} \\ $$$$ \\ $$$${f}\left({x}\right)=\sqrt{{x}^{\mathrm{2}} −\mathrm{1}} \\ $$

Question Number 70653 Answers: 1 Comments: 1

lim_(x→(π/2)) (sin x − cos x)^(tan x) = ...

$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\:\left(\mathrm{sin}\:{x}\:−\:\mathrm{cos}\:{x}\right)^{\mathrm{tan}\:{x}} \:\:=\:\:... \\ $$

Question Number 70651 Answers: 0 Comments: 3

Question Number 70639 Answers: 0 Comments: 0

Question Number 70638 Answers: 1 Comments: 1

Question Number 70627 Answers: 0 Comments: 0

please great physicist check question 70568 please help

$${please}\:{great}\:{physicist}\:{check}\:{question}\: \\ $$$$\mathrm{70568}\:{please}\:{help} \\ $$

Question Number 70620 Answers: 0 Comments: 4

Question Number 70617 Answers: 1 Comments: 0

given that α and β are roots of the equation x^2 −5x + 4 =0 α>0 and β >0 find an equation whose roots are (√α) and (√β) how do i find (√(α )) + (√β)

$${given}\:{that}\:\:\alpha\:{and}\:\beta\:{are}\:{roots}\:{of}\:{the}\:{equation}\:{x}^{\mathrm{2}} −\mathrm{5}{x}\:+\:\mathrm{4}\:=\mathrm{0}\: \\ $$$$\alpha>\mathrm{0}\:{and}\:\beta\:>\mathrm{0} \\ $$$${find}\:{an}\:{equation}\:{whose}\:{roots}\:{are}\:\sqrt{\alpha}\:{and}\:\sqrt{\beta}\: \\ $$$$ \\ $$$${how}\:{do}\:{i}\:{find}\:\:\sqrt{\alpha\:}\:+\:\sqrt{\beta}\: \\ $$

Question Number 70602 Answers: 0 Comments: 1

I=∫_0 ^∞ ln((√(1−x)) +(√(1+x)))dx

$$\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \mathrm{ln}\left(\sqrt{\mathrm{1}−\mathrm{x}}\:+\sqrt{\mathrm{1}+\mathrm{x}}\right)\mathrm{dx} \\ $$

Question Number 70601 Answers: 1 Comments: 0

prove thst I=∫_0 ^∞ f(x+(1/×))((lnx)/x)dx=0

$$\mathrm{prove}\:\mathrm{thst}\:\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \mathrm{f}\left(\mathrm{x}+\frac{\mathrm{1}}{×}\right)\frac{\mathrm{lnx}}{\mathrm{x}}\mathrm{dx}=\mathrm{0} \\ $$

Question Number 70598 Answers: 1 Comments: 0

If a,b,c ∈ ℜ and (a^2 /(b+c))+(b^2 /(c+a))+(c^2 /(a+b))=((12)/(a+b+c)) , (a/(b+c))+(b/(a+c))+(c/(a+b))=(4/3) then find a+b+c=?

$$\mathrm{If}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\in\:\Re\:\mathrm{and}\:\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{b}+\mathrm{c}}+\frac{\mathrm{b}^{\mathrm{2}} }{\mathrm{c}+\mathrm{a}}+\frac{\mathrm{c}^{\mathrm{2}} }{\mathrm{a}+\mathrm{b}}=\frac{\mathrm{12}}{\mathrm{a}+\mathrm{b}+\mathrm{c}} \\ $$$$,\:\frac{\mathrm{a}}{\mathrm{b}+\mathrm{c}}+\frac{\mathrm{b}}{\mathrm{a}+\mathrm{c}}+\frac{\mathrm{c}}{\mathrm{a}+\mathrm{b}}=\frac{\mathrm{4}}{\mathrm{3}}\:\mathrm{then}\:\mathrm{find}\:\mathrm{a}+\mathrm{b}+\mathrm{c}=? \\ $$

Question Number 70597 Answers: 4 Comments: 0

solve cos^2 β+cos^2 3β=1

$${solve} \\ $$$$\mathrm{cos}\:^{\mathrm{2}} \beta+\mathrm{cos}\:^{\mathrm{2}} \mathrm{3}\beta=\mathrm{1} \\ $$

Question Number 70596 Answers: 1 Comments: 1

caoculate lim_(x→0) ((cos(sin(x^2 ))−1)/x^2 )

$${caoculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{{cos}\left({sin}\left({x}^{\mathrm{2}} \right)\right)−\mathrm{1}}{{x}^{\mathrm{2}} } \\ $$

Question Number 70595 Answers: 0 Comments: 1

calculate Σ_(n=1) ^∞ (((−1)^n )/(n^2 (n+1)^3 ))

$${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$

Question Number 70594 Answers: 1 Comments: 1

calculate by residus method the integral ∫_0 ^∞ (dx/((1+x^2 )^n )) with n integr and n≥1

$${calculate}\:{by}\:{residus}\:{method}\:{the}\:{integral}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{{n}} } \\ $$$${with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$

Question Number 70592 Answers: 1 Comments: 1

Question Number 70590 Answers: 1 Comments: 1

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