Tf the density function of a continuous RV X is f (x) = C e-b* – a), a

Q: let X~beta(a,b). find m.g.f ofY=ln| 1-x

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Q: Obtain the forward, backward, and central differences for du/dx for the function u(x, y) = %ye" x =…

A: Given, u(x,y) = 12yex  x= 0.50, y = 1 at h = 0.02 and h = 0.002 We have to obtain the forward,…

Q: Find: a) The PDF fy(y) b) The PDF fw (w) W = { Y 16 Y≤ 16 Y > 16

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Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Let w = 4e" dx /A dy + aeª dx ^ dz and n = 7e*Y dx + 8e² dy + eY dz, where a E R. Find the value of…

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Q: Assume that the function f is such that f(3) = 1, ſ f(x) dx = 5, and f'(x) is continuous on [0, 3].…

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Q: r(t)= (t)i+(a cosh (t/a)) j, a>0.

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Q: х Set F(x) = (1 – t) dt. Find F'(4). %3D /1 F'(4) = -3 Find the average value of F'over [1, 4]. 4

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Q: Consider a thin wire of mass m and length L going from x = a to x = b. Let the density of the wire…

A: Given that a thin wire of mass m and length L going from x=a to x=b. The density of the wire is…

Q: nRT n'a? V- nb V² What is the total differential for the following function p(n, V, T): p= ? dp =

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Q: Let u- (3i - 3) and u (i +3). Let f(z, v) be a differentiable function, such that D, f = 3//10, Du,f…

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Q: Find: Let X be uniform in (0, 2). Let Y be the output of a "clipper": J X X ≤ 1 Y = g(x) = { 1 X > 1…

A: Please give a thumb.

Q: (b) For a differentiable function f(x), show that 8(2 = 1) where f' = dj ]dx and a; are the values…

A: We will use the following properties of Dirac delta function to prove the given formula : ∫abδxdx=1…

Q: 17 The Joint pro. density functione 19 of two discrete discrete variable X and Y is given by P(X,Y)=…

A: Marginal probability of X and Y is given by PX=x=∑ yPx,yPY=y=∑ xPx,y

Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: Let f(x) and g(x) be differentiable functions satisfying f'(x)g(x) = – f(x)g'(x), Vr. If f(1) = g(1)…

A: Given f(x) and g(x) be differentiable function. f'(x)g(x)=-f(x)g'(x)    ∀xf(1)=g(1)=5f(5)=1 To find…

Q: Find the average value of the function: 2 f(x) = sinx + sin x on (0, 2TT) (3.1)

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Q: 3) Find the average rate of change of the function over the given interval or intervals: f(x) = x' +…

A: The average rate of change is similar to that of a slope between two points . The average rate of…

Q: dV where V is dt The flow rate of a pipe, Q in (m³/s) is given by Q= volume (in m) and t is time in…

A: Please check step 2 for the solution.!

Q: X」メ-一Xn ~ECA) find pdf ** メ。 t.

A: The pdf of Xn is

Q: You have been given the following : F(2iy.z) = y™ Find the value for the partial derivatfves shown…

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Q: X = Xo Give an example of a function f such that the derivative of Så fl+dt at does not equal f(xo).…

A: Step 1: Let's construct such a function. Consider the function: [f(x)=⎩⎪⎪⎨⎪⎪⎧​012​if x<x0​if…

Q: f(x) dx = where a < b s c dx =

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