d (n, m): = 0 si n = m si n‡m 5-c(n-m)

Q: Construct a formal proof of validity

A: We prove the given argument by using rules of inference.

Q: epression ((6x^(3)y^(-4)x^(6))/(x^(2)y^(3)x^(-4)))^(3) as an equival.

A: The expression is given by 6x3y-4x6x2y3x-43 To determine: The equivalent expression.

Q: ex: show that (H.W) (xJ,(x)' = -x Jv+1

A:

Q: hich z ∈ C the function e^(1/z) is holomorphic?

A:

Q: Consider AR(2) X = = $₁ X 2-1 + $₂ X=-2 +²+ A ^ find estimates , & $₂ using method of moments.

A: Consider a zero mean discrete time series xi1N which is an AR process. The equation for AR(2)…

Q: 8.. If L' { f(p)} = F (t) then L1 {f( ap) } is : a) aF(at) b) F (t/a) c) F(at) d) (1/a)F (t/a)

A:

Q: Give one example that: 1. Show that 1/2 (x - x^T) is skew symmetric. 2. Give one example that:Show…

A:

Q: 15. Let fx)- Find tuntions +3 %3D Flalx) = get (x) =

A:

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

A:

Q: Show that, as n → ∞, n^4/3^n → 0 linearly with rate 1/3.

A:

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

A:

Q: On parable y=x^2/2 set point, which distance from point P=(4,1) is minimal.

A: Given: Equation of parabola: y=x2 /2                      point P= (4,1) To find: Point on parabola:…

Q: Which of the following is equal to cosh(In x)? 2+1 A)국 (B)군 2x 2x (C) (D) (H) 2x + 1 2x 2x

A:

Q: Suppose that a cylindrical tank has height 10 m, the radius of the base is 7 m, and it is…

A: To calculate the amount of work done required to move the water out of the top of the cylindrical…

Q: Suppose that T(X) is sufficient for 0 and that ^e(X) is an MLE of 0. Show that ^0 depends on X…

A:

Q: Mention whether the following statements are true or false. R (a) { pV~p=c (b) pv (p^q) = p^ (pVq)…

A:

Q: ^

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Q: Prove that da(x) = a(b) a(a), %3D |

A: This is a problem from Reimann Stieltzes Integral

Q: Verify that f has an inverse and find fle) = x'+l; cza

A:

Q: Suppose that_F(s) = L{f(t)} exists for s> a ≥ 0. a) Show that if c is a positive constant, then…

A:

Q: 8.If fx)=X where gl4)=0, and a'(4)=1 then Pl2)=?

A: Given a function with data :

Q: If ACX,find A' for(X.I)

A:

Q: differentiate H with respect to G H-3e20G Select one: O a. H' = 60e 20G - 3/5G^(4/3) Ob. H' =…

A:

Q: Find the value of f(-1) when ƒ"(t) = 6(2t − 1) and ƒ'(1) = 6, ƒ(1) = 1.

A:

Q: 00 2. It is well known that /e-* dx = VT . Use this fact to prove that / V- In xdx 2 -00

A:

Q: 3x+1 If fAx) = e в Зе с 1 find f"(0). %3D Ае DO

A: Consider the given function fx=e3x+1

Q: b- Find L' by(Gonvolu fion theorm)

A:

Q: Suppose C varies interversely as/ with m^2, and C=72 when m=4. Find C when M=12.

A:

Q: 4. Use Laplace transforms to solve the following initial value problems. (a) y"+2y-3y = 10 sinh 2t,…

A: Laplace transform.