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Question Number 174276    Answers: 2   Comments: 0

Question Number 174271    Answers: 0   Comments: 2

max ( sin(x).cos^( 3) (x))=? x∈ [0 , (π/2) ]

$$ \\ $$$$\:\:\:\:{max}\:\left(\:\:{sin}\left({x}\right).{cos}^{\:\mathrm{3}} \left({x}\right)\right)=? \\ $$$$\:\:\:\:\:\:\:\:\:{x}\in\:\left[\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right] \\ $$

Question Number 174269    Answers: 2   Comments: 0

solve (x^2 −3)^2 =x+3

$${solve}\:\left({x}^{\mathrm{2}} −\mathrm{3}\right)^{\mathrm{2}} ={x}+\mathrm{3} \\ $$

Question Number 174267    Answers: 0   Comments: 7

Q:: Find the value of : Max_( x∈ [ 0 , (π/2) ]) { sin (x ). cos^( 3) ( x )∣ }=?

$$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Q}::\:\:\mathrm{Find}\:\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathbb{M}\mathrm{ax}_{\:{x}\in\:\left[\:\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right]} \:\:\left\{\:\mathrm{sin}\:\left({x}\:\right).\:\mathrm{cos}^{\:\mathrm{3}} \left(\:{x}\:\right)\mid\:\:\right\}=?\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\: \\ $$

Question Number 181448    Answers: 0   Comments: 1

solve for m m^m^m^m =62

$$\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{m}} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}} } } =\mathrm{62} \\ $$$$ \\ $$

Question Number 181447    Answers: 4   Comments: 0

f(x+(1/x))=x^5 +(1/x^5 ) f(3)=?

$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{5}} +\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{5}} } \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\mathrm{3}\right)=? \\ $$

Question Number 181449    Answers: 0   Comments: 1

integrate ∫x^x dx

$$\:\:\:\:\:\:\:\mathrm{integrate} \\ $$$$\:\:\:\:\:\:\:\:\int\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{dx}} \\ $$

Question Number 174258    Answers: 1   Comments: 0

lim_(x→∞) (√(√(x^4 −x^3 ))) − x =?

$$\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\sqrt{\sqrt{{x}^{\mathrm{4}} −{x}^{\mathrm{3}} }}\:−\:{x}\:=? \\ $$

Question Number 174253    Answers: 1   Comments: 0

Question Number 174250    Answers: 0   Comments: 1

Question Number 174227    Answers: 0   Comments: 4

Q : Max_ _(x>1) ((( x^( 4) −x^( 2) )/(x^( 6) + 2x^( 3) − 1)) ) = ?

$$ \\ $$$$\:\:\:{Q}\:: \\ $$$$\:\:\:\:\:\:\:{Max}_{\underset{{x}>\mathrm{1}} {\:}} \:\left(\frac{\:{x}^{\:\mathrm{4}} −{x}^{\:\mathrm{2}} }{{x}^{\:\mathrm{6}} +\:\mathrm{2}{x}^{\:\mathrm{3}} −\:\mathrm{1}}\:\right)\:=\:? \\ $$$$ \\ $$

Question Number 174211    Answers: 1   Comments: 0

for positive real number x and y , xy = 16 then find the minimum value of [x]+[y] , [ ] greatest integer function

$${for}\:{positive}\:{real}\:{number}\:{x}\: \\ $$$${and}\:{y}\:,\:{xy}\:=\:\mathrm{16}\:{then}\:{find}\:{the} \\ $$$$\:{minimum}\:{value}\:{of}\:\:\left[{x}\right]+\left[{y}\right]\:, \\ $$$$\left[\:\right]\:{greatest}\:{integer}\:{function} \\ $$

Question Number 174220    Answers: 1   Comments: 7

Question Number 174218    Answers: 0   Comments: 0

Question Number 174215    Answers: 0   Comments: 0

Question Number 174203    Answers: 1   Comments: 1

solve: x!=9, find x

$${solve}: \\ $$$${x}!=\mathrm{9}, \\ $$$${find}\:{x} \\ $$$$ \\ $$

Question Number 174336    Answers: 1   Comments: 0

∫_1 ^3 ((∣x−2∣)/(x^2 −4x)) dx =?

$$\:\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\:\frac{\mid{x}−\mathrm{2}\mid}{{x}^{\mathrm{2}} −\mathrm{4}{x}}\:{dx}\:=? \\ $$

Question Number 174199    Answers: 1   Comments: 0

Question Number 174197    Answers: 0   Comments: 0

Question Number 174193    Answers: 0   Comments: 2

what is the range of the inverse the relation {(x,y):y=(√(4−∣x−1∣))}???

$${what}\:{is}\:{the}\:{range}\:{of}\:{the}\:{inverse}\: \\ $$$${the}\:{relation}\:\left\{\left({x},{y}\right):{y}=\sqrt{\mathrm{4}−\mid{x}−\mathrm{1}\mid}\right\}??? \\ $$

Question Number 174192    Answers: 0   Comments: 5

∫_0 ^(π/2) cosxe^((cosxdx)) dx ?????

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {cosxe}^{\left({cosxdx}\right)} {dx}\:\:\:????? \\ $$

Question Number 174191    Answers: 0   Comments: 3

intgrate ∫(x+2)cos(x^2 +4x)dx?

$$\:\:\:\:\:{intgrate}\:\int\left({x}+\mathrm{2}\right){cos}\left({x}^{\mathrm{2}} +\mathrm{4}{x}\right){dx}? \\ $$

Question Number 174190    Answers: 1   Comments: 0

Question Number 174214    Answers: 1   Comments: 0

Question Number 181466    Answers: 1   Comments: 0

3∙5^(2x+1) − 7∙2^(4x+1) = 19 x= ?

$$\:\mathrm{3}\centerdot\mathrm{5}^{\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{1}} \:−\:\mathrm{7}\centerdot\mathrm{2}^{\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{1}} \:=\:\mathrm{19} \\ $$$$ \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}}=\:? \\ $$$$ \\ $$$$ \\ $$

Question Number 181464    Answers: 0   Comments: 0

lim_(x→0) ((sin (tan x)−sin (x))/(x−tan (x))) =?

$$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{tan}\:\mathrm{x}\right)−\mathrm{sin}\:\left(\mathrm{x}\right)}{\mathrm{x}−\mathrm{tan}\:\left(\mathrm{x}\right)}\:=? \\ $$

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