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Q: In the given question  as follows  ,determine whether the statement is true or false. If it is…

A: x=ft  &  y=gt Differentiating with respect to t, we get dxdt=f't  &  dydt=g't Now,…

Q: I don't understand why w(x,t)= x+(1-x)t^2

A: Given below the detailed solution

Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: What is t' (x) if t(x) = ? ez

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Q: I. If g(x) = Vx – 4 and h(x) = x³ + 4 , find (hog)(x) %3D

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Q: Find the value of c such that S xe = 3.

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Q: "-y'-12y=x * O y= C1(e^4t) + C2(e^3t) + (t)/12 + 1/144 O y= C1(e^4x) + C2(e^-3x) + (-x)/12 + 1/144…

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Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: Consider the problem min 12 s. t. 1+ r2| <1, IEX R.

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Q: Fill in each blank so that the resulting statement is true.

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Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: Evaluate o y dæ – x*dy,

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Q: الرابع: جد ناتج احد التكاملين التالي ين 1- Smte) xy e*y° dxdy 2- r? N4-y² ry8-x²-y" zdzdxdy x²+y2 2-…

A: 1 ∫01∫0ln(2)xyexy2dxdy first we will solve ∫0ln(2)xyexy2dx ∫0ln(2)xyexy2dx=y∫0ln(2)xexy2dxSubstitute…

Q: What is the solution of the given ODE xy' + y = Vx

A: Given: xy'+y=x

Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

Q: Let X ~ NB(r, p). Find M,(1). а. Use M,(t) to find E(X). Use M, (t) to find V(X). с. b.

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Q: 1 If (x, y)= find f, and f,. Vx? x²+y²

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Q: For the error term u, assuming that E[u] = 0 implies E[u|X] = 0 and vice versa. %3D

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 2. If LM = 10 and PS = 11, what is KN? ls 3. If PS = 2x + 4 and KN = 5x+ 2, and LM =-3x + 8, what is…

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: Prove that : V.(V×A)=0

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Q: (c) Will it always be true that W C X f(W) S (X)?

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Q: Let X ~ NB(r, p). Show that E(X*) =-E(Y – 1)*-1 where Y ~ NB(r+1, p). а. b. Use this result to find…

A: It is given that:

Q: Obtain (i) P (X 1)

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Q: Let x be a c.r.v., the E(x4) can be founded by xf(x) dx. O True False

A: Given problem Given that   Let x be a c.r.v., the E( x4 ) can be bounded by ∫-∞∞xf(x) dx   Ans)…

Q: Find x E R that satisfies -2 , – 02 + 2 vz U2 det = x det + – ö4 2 0 + 03 U3

A: The key concept to solve the given problem is that : The determinant of a matrix remains unchanged…

Q: - show that; L-1[e¬v$] = e %3D 2tynt

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Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: Consider the following IVP: y' = e; y(0) = 2

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: [E (XY)P SE (X²) E (Y²)

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Q: If s = 4/t - 3, then %3D ds dt

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Q: Determine c1 and c2 so that y(x) = c1 e^2x + c2 e^x + 2sin x will satisfy the conditions y(0) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: y = f(x) ナ

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Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: If y = 2x-5, x is a r.v., then E(y) can be calculated by M', (t = 0)=(e-st M, (2t)) when t = 0. O…

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Q: [F(x, х, х, х) — х] (х— х) — b K5 x- e-d <{x- [Ks – 1] (e– d) S {* x (е- d) [Кз — 1]—Ь e- d | | 1…

A: Algebraic identity: Algebraic identity for the square of the difference of any two algebraic…

Q: bah ow )o (d) be . Solve for 0<x <1, u"- u =-f(x) u' (0) = u' (1) = 0.

A: As f(x) is an arbitrary function, we will use Green's function to find the general solution.

Q: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

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Q: =3 ve A2 + A - I = 0 - 1 = 0 , what is det(A+I) I? 1 C) D) 1 1 E) 2 1/4

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Q: O eiz dz < z2 – i e2 , 3 - z(t) = 2e", t e [0,27]. true False

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Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

Q: If dr/dt= -r5, what is r(t)?

A: Given drdt=-r5. The we have to find r(t) = ?