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Question Number 68528 Answers: 0 Comments: 0

lim_(t→∞) [(1/t) ∫_1 ^( t) (t)^(1/x) dx]

$$\underset{{t}\rightarrow\infty} {\mathrm{lim}}\:\left[\frac{\mathrm{1}}{{t}}\:\int_{\mathrm{1}} ^{\:{t}} \:\sqrt[{{x}}]{{t}}\:{dx}\right] \\ $$

Question Number 68495 Answers: 1 Comments: 1

Whats is the value of sin (6°)?

$$\mathrm{Whats}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}\:\left(\mathrm{6}°\right)? \\ $$

Question Number 68493 Answers: 1 Comments: 0

My question is about the analogical axiams of the foundation geometry in mathematocs. As it Is a well knowen axum in geometry starts from the sefinition of a point which gives gives the path analogically to line, plane, and solids. Know my truoble comes at these axiumes areise from not ne being they are aziyma ^ but the analogu effect at giving the definatiom of the solid} 1−Apoimt is a dimenstin less. mathematixal abstruct. 2− a line is the collextom of points which has only one dimension. 3− a plane is the collection of lines which have onlu?two dimensions 3−a solid is the collwxripm of plans which has three dimensions. Now the first three definationa arsties are mathe are mathematical ideasor abstruct while the last mathematical abstruct is real. ow on earth a real object is formed from the collextion of unreal planes

$${My}\:{question}\:{is}\:{about}\:{the}\:{analogical} \\ $$$${axiams}\:{of}\:{the}\:{foundation}\:{geometry}\:{in} \\ $$$${mathematocs}. \\ $$$${As}\:{it}\:{Is}\:\:{a}\:{well}\:{knowen}\:{axum}\:{in}\:\:{geometry} \\ $$$${starts}\:{from}\:{the}\:{sefinition}\:{of}\:{a}\:{point}\:{which}\:{gives} \\ $$$${gives}\:{the}\:{path}\:{analogically}\:\:{to}\:{line},\:{plane},\:{and}\: \\ $$$${solids}. \\ $$$${Know}\:{my}\:{truoble}\:\:{comes}\:{at}\:{these} \\ $$$${axiumes}\:{areise}\:{from}\:{not}\:{ne}\:{being}\:{they} \\ $$$${are}\:{aziyma}\bar {\:}{but}\:{the}\:{analogu}\:{effect}\:{at} \\ $$$$\left.{giving}\:{the}\:{definatiom}\:{of}\:{the}\:{solid}\right\} \\ $$$$\mathrm{1}−{Apoimt}\:{is}\:{a}\:{dimenstin}\:{less}. \\ $$$$\:{mathematixal}\:{abstruct}. \\ $$$$\mathrm{2}−\:{a}\:{line}\:{is}\:{the}\:{collextom}\:{of}\:{points} \\ $$$$\:\:{which}\:{has}\:{only}\:{one}\:{dimension}. \\ $$$$\mathrm{3}−\:{a}\:{plane}\:{is}\:{the}\:{collection}\:\:{of}\:{lines}\: \\ $$$${which}\:{have}\:{onlu}?{two}\:{dimensions}\: \\ $$$$\mathrm{3}−{a}\:\:{solid}\:{is}\:{the}\:{collwxripm}\:{of}\:{plans} \\ $$$${which}\:{has}\:{three}\:{dimensions}. \\ $$$$ \\ $$$$\:\:\:\:\:\:{Now}\:{the}\:{first}\:{three}\:{definationa}\:{arsties}\:{are}\:{mathe} \\ $$$${are}\:{mathematical}\:{ideasor}\:{abstruct} \\ $$$${while}\:{the}\:{last}\:{mathematical}\:{abstruct}\:{is}\:{real}. \\ $$$${ow}\:{on}\:{earth}\:{a}\:{real}\:{object}\:{is}\:{formed} \\ $$$${from}\:{the}\:{collextion}\:{of}\:{unreal}\:{planes} \\ $$

Question Number 68482 Answers: 0 Comments: 1

sin 1^° = ?

$$\mathrm{sin}\:\mathrm{1}^{°} \:=\:? \\ $$

Question Number 68481 Answers: 0 Comments: 6

I=∫_0 ^( 1) (√((c−x^2 )/(x(1−x^2 ))))dx (c >1)

$${I}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \sqrt{\frac{{c}−{x}^{\mathrm{2}} }{{x}\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}}{dx}\:\:\:\:\:\:\left({c}\:>\mathrm{1}\right) \\ $$

Question Number 68576 Answers: 1 Comments: 1

Question Number 68470 Answers: 0 Comments: 3

find the value of ∫_0 ^∞ ((arctan(2x^2 ))/(x^2 +4))dx

$${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\mathrm{2}{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{4}}{dx} \\ $$

Question Number 68466 Answers: 1 Comments: 2

let f(x) =∫_x^ ^(x^2 −x) arctan(e^(−x−t) )dt calculate f^′ (x) and f^′ (0).

$${let}\:{f}\left({x}\right)\:=\int_{{x}^{} } ^{{x}^{\mathrm{2}} −{x}} \:{arctan}\left({e}^{−{x}−{t}} \right){dt} \\ $$$${calculate}\:{f}^{'} \left({x}\right)\:\:\:{and}\:{f}^{'} \left(\mathrm{0}\right). \\ $$

Question Number 68473 Answers: 0 Comments: 1

((sin 72°)/(sin 42°)) = p tan 12° = ?

$$\frac{\mathrm{sin}\:\mathrm{72}°}{\mathrm{sin}\:\mathrm{42}°}\:\:=\:\:{p} \\ $$$$\mathrm{tan}\:\mathrm{12}°\:\:=\:\:? \\ $$

Question Number 68451 Answers: 1 Comments: 7

Question Number 68446 Answers: 0 Comments: 1

cos (x−60)+cos (x−30)=sin x prove

$$\mathrm{cos}\:\left({x}−\mathrm{60}\right)+\mathrm{cos}\:\left({x}−\mathrm{30}\right)=\mathrm{sin}\:{x} \\ $$$${prove} \\ $$

Question Number 68434 Answers: 1 Comments: 0

Question Number 68433 Answers: 0 Comments: 0

hello i search som lectur about hypergeometric fonction2F_1 (a,b,c,x)=((Γ(c))/(Γ(a)Γ(b)))Σ_(n≥0) ((Γ(a+n)Γ(b+n))/(Γ(c+n)n!))x^n

$${hello} \\ $$$${i}\:{search}\:{som}\:{lectur}\:{about}\:{hypergeometric}\:{fonction}\mathrm{2}{F}_{\mathrm{1}} \left({a},{b},{c},{x}\right)=\frac{\Gamma\left({c}\right)}{\Gamma\left({a}\right)\Gamma\left({b}\right)}\sum_{{n}\geqslant\mathrm{0}} \frac{\Gamma\left({a}+{n}\right)\Gamma\left({b}+{n}\right)}{\Gamma\left({c}+{n}\right){n}!}{x}^{{n}} \\ $$$$ \\ $$

Question Number 68487 Answers: 1 Comments: 2

Question Number 68425 Answers: 1 Comments: 2

Question Number 68422 Answers: 1 Comments: 0

Question Number 68418 Answers: 1 Comments: 3

Question Number 68414 Answers: 2 Comments: 1

Is it possible to find any value for a,b,c from below system of equetions? { ((sina+sinb=sinc)),((cosa+cosb=cosc)) :}

$$\mathrm{Is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{find}\:\mathrm{any}\:\mathrm{value}\:\mathrm{for} \\ $$$$\boldsymbol{\mathrm{a}},\boldsymbol{\mathrm{b}},\boldsymbol{\mathrm{c}}\:\mathrm{from}\:\mathrm{below}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equetions}? \\ $$$$\begin{cases}{\boldsymbol{\mathrm{sina}}+\boldsymbol{\mathrm{sinb}}=\boldsymbol{\mathrm{sinc}}}\\{\boldsymbol{\mathrm{cosa}}+\boldsymbol{\mathrm{cosb}}=\boldsymbol{\mathrm{cosc}}}\end{cases} \\ $$

Question Number 68409 Answers: 1 Comments: 3

calculate ∫_0 ^(+∞) ((arctan(x^2 ))/(1+x^2 ))dx

$${calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$

Question Number 68405 Answers: 1 Comments: 3

There are a few problem reported. Notification: google discontinued Google Cloud Messaging so notifications are not working. Other Problems: There has been several new phone models and android version updates. And newer android version or phone models might have other issues. We are working on app updates for supporting these and also migrating to new messaging platform. We will address these problems as soon as we can.

$$\mathrm{There}\:\mathrm{are}\:\mathrm{a}\:\mathrm{few}\:\mathrm{problem}\:\mathrm{reported}. \\ $$$$\mathrm{Notification}:\:\mathrm{google}\:\mathrm{discontinued} \\ $$$$\mathrm{Google}\:\mathrm{Cloud}\:\mathrm{Messaging}\:\mathrm{so}\:\mathrm{notifications} \\ $$$$\mathrm{are}\:\mathrm{not}\:\mathrm{working}.\: \\ $$$$\mathrm{Other}\:\mathrm{Problems}: \\ $$$$\mathrm{There}\:\mathrm{has}\:\mathrm{been}\:\mathrm{several}\:\mathrm{new}\:\mathrm{phone} \\ $$$$\mathrm{models}\:\mathrm{and}\:\mathrm{android}\:\mathrm{version}\:\mathrm{updates}. \\ $$$$\mathrm{And}\:\mathrm{newer}\:\mathrm{android}\:\mathrm{version}\:\mathrm{or}\:\mathrm{phone} \\ $$$$\mathrm{models}\:\mathrm{might}\:\mathrm{have}\:\mathrm{other}\:\mathrm{issues}. \\ $$$$ \\ $$$$\mathrm{We}\:\mathrm{are}\:\mathrm{working}\:\mathrm{on}\:\mathrm{app}\:\mathrm{updates}\:\mathrm{for} \\ $$$$\mathrm{supporting}\:\mathrm{these}\:\mathrm{and}\:\mathrm{also}\:\mathrm{migrating} \\ $$$$\mathrm{to}\:\mathrm{new}\:\mathrm{messaging}\:\mathrm{platform}. \\ $$$$ \\ $$$$\mathrm{We}\:\mathrm{will}\:\mathrm{address}\:\mathrm{these}\:\mathrm{problems}\:\mathrm{as}\: \\ $$$$\mathrm{soon}\:\mathrm{as}\:\mathrm{we}\:\mathrm{can}. \\ $$

Question Number 68397 Answers: 2 Comments: 0

Question Number 68390 Answers: 1 Comments: 0

Question Number 68370 Answers: 1 Comments: 0

Question Number 68368 Answers: 1 Comments: 1

(1/(x+1)) = y lim_(x+1 → ∞) x tan ((1/(2x+2)))

$$\frac{\mathrm{1}}{{x}+\mathrm{1}}\:=\:{y} \\ $$$$\underset{{x}+\mathrm{1}\:\rightarrow\:\infty} {\mathrm{lim}}\:\:{x}\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{2}}\right) \\ $$

Question Number 68354 Answers: 0 Comments: 6

lim_(x,y→(0,0)) ((x^4 − x^2 y^2 + y^4 )/(x^2 + x^4 y^4 + y^2 ))

$$\underset{{x},\mathrm{y}\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{4}} \:−\:\mathrm{x}^{\mathrm{2}} \mathrm{y}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{4}} }{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{\mathrm{4}} \mathrm{y}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{2}} } \\ $$

Question Number 68353 Answers: 1 Comments: 0

If sin x+sin^2 x=1, then value of cos^2 x+cos^4 x is

$$\mathrm{If}\:\mathrm{sin}\:{x}+\mathrm{sin}^{\mathrm{2}} {x}=\mathrm{1},\:\mathrm{then}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{cos}^{\mathrm{2}} {x}+\mathrm{cos}^{\mathrm{4}} {x}\:\:\mathrm{is} \\ $$

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