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Question Number 201140    Answers: 1   Comments: 0

If R_− =x^2 yi_− −2y^2 zj_− +xy^2 z^2 k_− , find ∣(d^2 R/dx^2 )×(d^2 R/dy^2 )∣ at the point (2,1,−2)

IfR=x2yi2y2zj+xy2z2k,findd2Rdx2×d2Rdy2atthepoint(2,1,2)

Question Number 201133    Answers: 0   Comments: 1

Ω= ∫_1 ^( 3) (( 1)/( (√((x−1 )^3 )) + (√((x+1 )^3 )))) dx= ?

Ω=131(x1)3+(x+1)3dx=?

Question Number 200738    Answers: 0   Comments: 0

Solve: A smooth sphere A,of mass 2kg and moving with speed 6ms^(−1) collides obliquely with a smooth sphere B of mass 4kg. just before the impact B is stationary and the velocity of A makes an angle of 10° with the lines of centers of the two sphere. The coefficient of restitution between the spheres is (1/2). Find the magnitude and directions of the velovities of A and B immediately after the impact.

Solve:AsmoothsphereA,ofmass2kgandmovingwithspeed6ms1collidesobliquelywithasmoothsphereBofmass4kg.justbeforetheimpactBisstationaryandthevelocityofAmakesanangleof10°withthelinesofcentersofthetwosphere.Thecoefficientofrestitutionbetweenthespheresis12.FindthemagnitudeanddirectionsofthevelovitiesofAandBimmediatelyaftertheimpact.

Question Number 200418    Answers: 1   Comments: 0

calculus ( I ) If , I = ∫_0 ^( π) (( x )/(1 + sin^2 (x))) dx = a ζ ( 2 ) ⇒ a = ? where , ζ (s ) = Σ_(n=1) ^∞ (( 1)/n^( s) )

calculus(I)If,I=0πx1+sin2(x)dx=aζ(2)a=?where,ζ(s)=n=11ns

Question Number 200251    Answers: 1   Comments: 0

Question Number 199459    Answers: 2   Comments: 0

What minimum value f(x,y)=x^2 +y^2 −z^2 when x+2y+4z=21

Whatminimumvaluef(x,y)=x2+y2z2whenx+2y+4z=21

Question Number 199261    Answers: 0   Comments: 0

Question Number 199176    Answers: 1   Comments: 0

If f(x) =(x^2 −4x) sin 4x find f^((6)) (x).

Iff(x)=(x24x)sin4xfindf(6)(x).

Question Number 198988    Answers: 1   Comments: 0

Question Number 198953    Answers: 1   Comments: 0

f(x)= ((3x−5)/(2x+1)) →f^′ (x)=....?

f(x)=3x52x+1f(x)=....?

Question Number 198688    Answers: 1   Comments: 0

y′′ + (2/x).y′ + y = 0 y=¿

y+2x.y+y=0y=¿

Question Number 198562    Answers: 1   Comments: 0

f(tan x)+ 2f(cot x) = 4x f ′(x)= ?

f(tanx)+2f(cotx)=4xf(x)=?

Question Number 197664    Answers: 0   Comments: 1

Question Number 197317    Answers: 0   Comments: 0

if x = ((cos θ)/u) , y = ((sin θ)/u) and z = f(x,y) then show that (∂^2 z/∂x^2 ) + (∂^2 z/∂y^2 ) = u^4 (∂^2 z/∂u^2 ) + u^3 (∂z/∂u) + u^4 (∂^2 z/∂θ^2 )

ifx=cosθu,y=sinθuandz=f(x,y)thenshowthat2zx2+2zy2=u42zu2+u3zu+u42zθ2

Question Number 197277    Answers: 1   Comments: 0

Question Number 197057    Answers: 3   Comments: 2

Question Number 196902    Answers: 1   Comments: 0

Question Number 196691    Answers: 0   Comments: 2

Can someone recommend Calculus book , But I prefer if the book isn't boring and have a real challenging problems not a direct consequence of what is illustrated

Can someone recommend Calculus book , But I prefer if the book isn't boring and have a real challenging problems not a direct consequence of what is illustrated

Question Number 196628    Answers: 0   Comments: 0

inf ∅ =^? +∞ and sup ∅ =^? −∞

inf=?+andsup=?

Question Number 196408    Answers: 2   Comments: 0

Calcul ∫^( +∞) _( 0) ((lnt)/( (√t)(1+t^2 )))dt

Calcul0+lntt(1+t2)dt

Question Number 196401    Answers: 3   Comments: 0

if y=sin x find (d^2 /dy^2 )cos^7 x

ify=sinxfindd2dy2cos7x

Question Number 196209    Answers: 2   Comments: 0

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

Ω=01(x1)2ln2(x)dx=?

Question Number 195952    Answers: 2   Comments: 0

Ω = Σ_(m=1) ^∞ Σ_(n=1) ^∞ (((−1)^( n+1) )/(m^2 n + mn^( 2) )) = ? −−−−−

Ω=m=1n=1(1)n+1m2n+mn2=?

Question Number 195885    Answers: 2   Comments: 0

(dy/dx) + (√((1−y^2 )/(1−x^2 ))) = 0

dydx+1y21x2=0

Question Number 195878    Answers: 0   Comments: 0

Question Number 195180    Answers: 1   Comments: 0

1. f(x)= { ((sinx , (π/2)<x≤2π)),((cosx , 0≤x≤(π/2))) :} then find the f^′ ((π/2)) =? 2. f(x)= { ((sinx , (π/2)<x≤2π)),((cosx , 0≤x≤(π/2))) :} then find the f′(2π) =?

1.f(x)={sinx,π2<x2πcosx,0xπ2thenfindthef(π2)=?2.f(x)={sinx,π2<x2πcosx,0xπ2thenfindthef(2π)=?

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