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Question Number 93512    Answers: 0   Comments: 2

(xy+sin y)dx+(0.5x^2 +xcos y)dy=o

(xy+siny)dx+(0.5x2+xcosy)dy=o

Question Number 93510    Answers: 0   Comments: 1

y^′ −y.tan x+y^2 cos x=0

yy.tanx+y2cosx=0

Question Number 93493    Answers: 0   Comments: 4

Question Number 93484    Answers: 0   Comments: 2

∫t^2 /(1+t^2 )^2 dx=

t2/(1+t2)2dx=

Question Number 93483    Answers: 0   Comments: 0

prove that the equation of the normal to the rectangular hyperbola xy = c^2 at the point P(ct, c/t) is t^3 x −ty = c(t^4 −1). the normal to P on the hyperbola meets the x−axis at Q and the tangent to P meets the yaxis at R. show that the locus of the midpoint oc QR, as P varies is 2c^2 xy + y^4 = c^4 .

provethattheequationofthenormaltotherectangularhyperbolaxy=c2atthepointP(ct,c/t)ist3xty=c(t41).thenormaltoPonthehyperbolameetsthexaxisatQandthetangenttoPmeetstheyaxisatR.showthatthelocusofthemidpointocQR,asPvariesis2c2xy+y4=c4.

Question Number 93481    Answers: 1   Comments: 1

∫(log x/x^2 )dx=

(logx/x2)dx=

Question Number 93478    Answers: 0   Comments: 2

1\Calculate f_x (2,3) if f(x,y)=x^2 +y^2 2\Calculate df(x,y) for x=1, y=0, dx=(1/2) and dy=(1/4) if f(x,y)=(√(x^2 +y^2 ))

1Calculatefx(2,3)iff(x,y)=x2+y22Calculatedf(x,y)forx=1,y=0,dx=12anddy=14iff(x,y)=x2+y2

Question Number 93477    Answers: 2   Comments: 0

Differentiate completely; 1\ f(x,y)=x^2 +xy^2 +siny 2\ f(x,y)=e^(x^2 +y^2 ) 3\ f(x,y,z)=tan(3x−y)+6^(y+2)

Differentiatecompletely;1f(x,y)=x2+xy2+siny2f(x,y)=ex2+y23f(x,y,z)=tan(3xy)+6y+2

Question Number 93474    Answers: 2   Comments: 0

Q. Prove by mathematical induction that Σ_(r=1) ^n (4r + 5) = 2n^2 + 7n

Q.Provebymathematicalinductionthatnr=1(4r+5)=2n2+7n

Question Number 93473    Answers: 1   Comments: 1

∫1/(1+x^2 )^2

1/(1+x2)2

Question Number 93471    Answers: 1   Comments: 0

∫1/1+x2

1/1+x2

Question Number 93470    Answers: 1   Comments: 4

Solve: 3x^(x + 1) − 3x^(x − 1) = 8

Solve:3xx+13xx1=8

Question Number 93467    Answers: 1   Comments: 0

∫ (sin x+2cos x)^3 dx

(sinx+2cosx)3dx

Question Number 93464    Answers: 1   Comments: 0

If f a function such that f(a).f(b)−f(a+b)=a+b. find the value of f(2019)

Iffafunctionsuchthatf(a).f(b)f(a+b)=a+b.findthevalueoff(2019)

Question Number 93460    Answers: 1   Comments: 1

solve for x,y >0 2x⌊y⌋ = 2020 3y⌊x⌋ = 2021

solveforx,y>02xy=20203yx=2021

Question Number 93451    Answers: 0   Comments: 3

Solve by using change the conistant megbod 4y^(′′) +y=((x^2 −1)/(x(√x)))?

Solvebyusingchangetheconistantmegbod4y+y=x21xx?

Question Number 93450    Answers: 2   Comments: 0

what is the value of coefficient of x^9 in expansion (1+x)(1+x^2 ) (1+x^3 )(1+x^4 )×...×(1+x^(100) ) ?

whatisthevalueofcoefficientofx9inexpansion(1+x)(1+x2)(1+x3)(1+x4)×...×(1+x100)?

Question Number 93442    Answers: 0   Comments: 3

To tinkutara I have forget my old password and has to create a new one. Is there any way to retrive my old account.

TotinkutaraIhaveforgetmyoldpasswordandhastocreateanewone.Isthereanywaytoretrivemyoldaccount.

Question Number 93446    Answers: 0   Comments: 1

what is the coefficient of x^5 in the expansion (1+x^2 )(1+x)^4

whatisthecoefficientofx5intheexpansion(1+x2)(1+x)4

Question Number 93439    Answers: 2   Comments: 0

Question Number 93434    Answers: 1   Comments: 1

Question Number 93428    Answers: 1   Comments: 0

Question Number 93418    Answers: 0   Comments: 3

let A= (((1 2 3)),((3 2 1)) ) ∈M_3 (C) (1 4 2 ) 1) find A^(−1) if A inversible 2) calculate A^n 3)find cosA and sinA 4) is cos^2 A +sin^2 A =I ?

letA=(123321)M3(C)(142)1)findA1ifAinversible2)calculateAn3)findcosAandsinA4)iscos2A+sin2A=I?

Question Number 93415    Answers: 0   Comments: 5

let A = (((1 −1)),((1 1)) ) 1) calculate A^(−1) and A^(−2) 2) calculate A^n 3) find e^A and e^(−A)

letA=(1111)1)calculateA1andA22)calculateAn3)findeAandeA

Question Number 93414    Answers: 0   Comments: 0

let p(x)=((x^n (4−2x)^n )/(n!)) 1) prove that p^((k)) (0)=p^((k)) (2)=0 for all k∈[1,n−1] 2) prove that ∀m∈N p^((m)) (0) and p^((m)) (2) are integrs

letp(x)=xn(42x)nn!1)provethatp(k)(0)=p(k)(2)=0forallk[1,n1]2)provethatmNp(m)(0)andp(m)(2)areintegrs

Question Number 93410    Answers: 0   Comments: 7

∫((1+x^6 )/(1+x^8 ))dx

1+x61+x8dx

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