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AllQuestion and Answers: Page 1943

Question Number 8865    Answers: 1   Comments: 0

(1^2 /(1×3))+(2^2 /(3×5))+...+((n2)/((2n−1)(2n+1)))=((n(n+1)/(2(2n+1)))

121×3+223×5+...+n2(2n1)(2n+1)=n(n+12(2n+1)

Question Number 8740    Answers: 0   Comments: 2

x_(1,1) =1 x_(n+1,m) =x_(n,m) +m x_(n,m+1) =nx_(n,m) −1 x_(2,2) =?

x1,1=1xn+1,m=xn,m+mxn,m+1=nxn,m1x2,2=?

Question Number 8734    Answers: 0   Comments: 2

Evaluate the integral ∫[a(b^• .a + b.a^• ) + a^• (b.a) − 2(a^• .a)b − b^• ∣a∣^2 ]dt In which a^• ,b^• are the derivatives of a,b with respect to t

Evaluatetheintegral[a(b.a+b.a)+a(b.a)2(a.a)bba2]dtInwhicha,barethederivativesofa,bwithrespecttot

Question Number 8728    Answers: 0   Comments: 2

∫cos x/4−x^2 ∫((cos x)/(4−x^2 ))

cosx/4x2cosx4x2

Question Number 8721    Answers: 0   Comments: 2

If z∈C satisfies ∣z^3 +z^(−3) ∣≤2 then maximum possible value of∣z+z^(−1) ∣is?

IfzCsatisfiesz3+z3∣⩽2thenmaximumpossiblevalueofz+z1is?

Question Number 8720    Answers: 1   Comments: 5

Question Number 8757    Answers: 0   Comments: 1

A balloon is inflated such that every point expands at a units/second. An ant runs from one point A to another point B. If the ant moves b units/second, what will influence if or not the ant will ever reach point B?

Aballoonisinflatedsuchthateverypointexpandsataunits/second.AnantrunsfromonepointAtoanotherpointB.Iftheantmovesbunits/second,whatwillinfluenceifornottheantwilleverreachpointB?

Question Number 8707    Answers: 1   Comments: 0

Find an integer x that satisfies the equation x^5 −101x^3 −999x^2 +100900=0

Findanintegerxthatsatisfiestheequationx5101x3999x2+100900=0

Question Number 8704    Answers: 1   Comments: 0

Solving for A. U(z) = U_b +((2A)/(h+1))(ρ×g×sin(α))^n [H^(n+1) −(H−Z)^(n+1) ]

SolvingforA.U(z)=Ub+2Ah+1(ρ×g×sin(α))n[Hn+1(HZ)n+1]

Question Number 8695    Answers: 2   Comments: 0

solving for B? U_b = U_s − (2/(n+1))(((ρ×g×sinα)/B))^n H^(n+1)

solvingforB?Ub=Us2n+1(ρ×g×sinαB)nHn+1

Question Number 8691    Answers: 1   Comments: 1

∫_0 ^( ∞) x^(−ln(x)) dx

0xln(x)dx

Question Number 8718    Answers: 0   Comments: 2

(((x−5)^(x^2 −11×−26) +(x−5)^(x^2 −171×+26) )/(x^2 +3x−203))=x . fine x.

(x5)x211×26+(x5)x2171×+26x2+3x203=x.finex.

Question Number 8685    Answers: 0   Comments: 0

Divide a circle in two equal parts by drawing an arc.

Divideacircleintwoequalpartsbydrawinganarc.

Question Number 8683    Answers: 0   Comments: 3

Question Number 8681    Answers: 0   Comments: 0

Question Number 8678    Answers: 0   Comments: 8

Question Number 8672    Answers: 1   Comments: 0

∫_0 ^∞ x.e^(−x^2 ) dx evaluate above expression.

0x.ex2dxevaluateaboveexpression.

Question Number 8674    Answers: 1   Comments: 0

Question Number 8667    Answers: 1   Comments: 0

Question Number 8663    Answers: 1   Comments: 0

if I=a(1−(r/(100)))^n make n the subject of formular

ifI=a(1r100)nmakenthesubjectofformular

Question Number 8662    Answers: 1   Comments: 0

If the roots of 2x^2 +7x+5=0 are the reciprocal roots of ax^2 +bx+c=0, then a−c = ______.

Iftherootsof2x2+7x+5=0arethereciprocalrootsofax2+bx+c=0,thenac=______.

Question Number 8661    Answers: 1   Comments: 0

p_n =n^(th) prime number p_1 =2, p_2 =3, p_3 = 5, ... Does the following converge: Σ_(i=1) ^∞ (p_i /p_(i+1) ) Prove/disprove

pn=nthprimenumberp1=2,p2=3,p3=5,...Doesthefollowingconverge:i=1pipi+1Prove/disprove

Question Number 8653    Answers: 1   Comments: 0

Question Number 8650    Answers: 0   Comments: 3

Question Number 8647    Answers: 0   Comments: 1

Question Number 8644    Answers: 0   Comments: 4

Write an expression involving e and π which when evaluated gives result 1.

Writeanexpressioninvolvingeandπwhichwhenevaluatedgivesresult1.

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