11. Let X, Y, Z have the joint PDF f(x, y, z)= 6(1+x+y+z) 10 Find the PDF of U=X+Y+Z. if 0 < x,0

Q: f(x,y,z) be a differentiable function the point P(2,5,-1). Let at Which of the following is the…

A: Answer is mentioned below

Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: Find V· (V × F), if F(x, y, z) = 3e**i+3xe'j – 3e²k. - V·(V × F)

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Q: The equations ry? + 8zzcos(u) + ye" = 16 and r*yz + xe" – 5u²v² = 15 are solved for u and v as…

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Q: Let X, Y have the joint pdf for x? + y 0, y > 0 cx fxy = %3D O.W. where c is some constant.…

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Q: af Suppose f = f(x, y) and let |(0,5)= 2 and |(0,5) = 8. 3x Define the function g(t) = f(tº - t,…

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Q: Write f(z) in the form f(z) = u(x, y) + iv(x, y). a) f (z) = z^3 b) f (z) = 1/z^2

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: f(x,y) be defined implicitly as a function of x and y by the 3xyz =exyz Əz Əz yay ax Əz Əz Find and…

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Q: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0. Determine the pdf and cdf of Y = CX

A: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a &gt; 0

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: 4. Let f(x, y)=2x*y' . Find f,(x,y)

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Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=6 and p′(1)=0

A: Since you have posted multiple question in this question which are nt interlinked so i have solved…

Q: f" > 0 on (-∞, -1) U (-1,0).

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Q: If Y - Exp(2) and Z ~ Exp(3) are independent, what is pdf of W = Y + Z?

A: Concept Sum of independent exponential distribution is gamma variate. Suppose X1, X2...,Xn ~exp(@)…

Q: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of…

A: If a function is a function of more than one independent variable then the derivative of this…

Q: Determine if f(x, y) = xe*-y + 100y is increasing or decreasing at (-2,1) if a) we allow x to vary…

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

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Q: xye-(2²+v°+z*). Find all points (x, y, z) such that Vf(x,y, z) : Question 2. Consider the function…

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Q: af Let f(x, y) = x³y + 8. Compute (1, 2) and -(1, 2). ax ду

A: Given: fx,y=x3y+8

Q: Let X ~ Uniform(-1,1) and Y = X² , find the CDF and PDF.

A: Use the following definitions, to obtain the solution. The cumulative distribution function of a…

Q: f(x,y) = kx, 0 <= x <= y <= 10 Find the value of k that makes this a valid pdf

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Q: Dete‎rmine if f (x, y) = ={(xsi‎n3y)/(x‎2+y6), (x, ‎y) ≠ (0, ‎0) ={1, (x, y) = (0, 0) is‎…

A: Solution: A graph for a function that's smooth without any holes, jumps, or asymptotes is called…

Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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Q: Let f(1,y) = (r+ay°,r²y°,2r + by), g(u, v,w) = (3u² + bv² + w°, uvw). Find the derivative of…

A: Let f(x, y)=x3+ay2, x2y3, 2x+by,  gu, v, w=3u2+bv2+w3, uvw. We need to find the derivative of fgu,…

Q: Let I,"Erpi). f(x) = pe"1>0 IIN, -4.Find the pdf of (a) r(m.B) (b)[(1, B) (e )r(m, nB) (d) exp(nB)…

A: X~ exp(β) We want find the pdf of  Y=∑X ~ ?

Q: Find f, and f, and evaluate each at the given point. y' ху f(x, y) = (5, –5) 1. X - y' fa(X, y)…

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Q: Let i, j, k e Za and w, x, y e Zb with i, j, k all different from each other and w, x, y all…

A: Let the number of elements in the domain be equal to m, and the number of elements in Zb be equal to…

Q: Let F(x, y, z) = x³yz² – 6x?yz + 9xz – 5y°z. Find F %3D xyz Fxyz

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Q: please give step by step answer.   let X have the PDF fx(x)={X^3/4,0<x<2 0,elsewhere a)let Y=X^2…

A: The problem can be solved using the concept of pdf. please find step by step solution below.

Q: (a) Compute P[(X = (1/2)]

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Q: FG) ={(g6)) and 861)=2 Fing F'(2)

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Q: Let f(z) = r? – 9z + 5 with domain 0 <r < 4, 5. Calculate (f ')(-3). Note: Round to two decimal…

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Q: Let f = f(x, y), x = s +t and y = s - t. Show that (9- ) - se se as at ax ду

A: It is given that, f=f(x,y), x=s+t and y=s-t. Show that, ∂f∂x2−∂f∂y2=∂f∂s·∂f∂t.…