now using MGF technique that if Z, ~ N(0,1), for i=1,2,3,4,5, then U = Ez ~ x² with degrees of freedom.

Q: Now we can do something similar with the two 2-point DFT's to get equations for a; for j = 0,1,2,3:…

A: Given: D.F.T.α0,.....αN-1j=∑k=0N-1αke2πikjN,   j=0,1,....N-1To find: Expressions of two 2-point…

Q: If f (x, y, z) = x'y° z2 + 2°x°y, then fyrzz: (-1, 1, 1) %3D yZI ZIZ

A: Given function is fx,y,z=x3y3z2+z3x3y. We have to find the fyzxzxz−1,1,1. First differentiate…

Q: R = {(x, y) ERXR = x +2y=1} S = {(x, y) ERXRx_y=1} لذا كانت أوحد RS, (RUS) ROS, RUS

A:

Q: VX(VXF) =V (V.F) -v?F 0 صواب İhi

A: In this question we have to find the given property of curl f and del is true or not.

Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

A:

Q: Solve Utt (1,4) Ux (o,t) =o UCX, 0) = 0 KUXX (xst) 0Lxo %3D Ux (1,t) = 0 Ut (x,0)= 2 %3D -1 %3D…

A: The given problem is to find the solution for the given wave equation partial differential equation…

Q: Please solve the following PDE: Af(t, x,y) af(t,x,y) _ {\f(t,a,y) = a2, f(0,x, y) = za² zz2 + + x-…

A:

Q: nRT What is the total differential for the following function p(n, V, T): p =; V- nb dp = %3D a. RT…

A:

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 6) = -7, us (3,- 6) =…

A: Please see the attachment

Q: UNIVERSIT b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz + = 0. dy

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Q: If F(s) = 1/(S-2), then f(t) is %3D a) e²'u(t) c) u(t-2) d) e"'u(t) -2t b) u(t +2)

A: Given Fs=1s−2 We have to find the ft Use definition of inverse Laplace transform, which is given…

Q: If xly then gcd(x,y) = y. إختر واحدا:

A:

Q: az + b If T(z) cz + d a, b, c, d e R. Show that T(RU{∞}) = RU {∞} if and only if exist

A:

Q: If FGx) = -2x+s firid f(z)

A: Given: if f(x)=-2x+54To find: f(1)

Q: If f(x,y,z) = e* and g(x,y,z) = y – z Then, V (fg) will be;

A: Given fx,y,z=ex, gx,y,z=y-z

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)_1 a(x,y) a(u,v)

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Q: b) Given z = f(x -y, 2x - 2y, 3x – 3y). Show that dz dz 0. ду

A: The solution is given as

Q: Just d,e,f, please

A: The marginal density of X can be derived as follows:

Q: Exercise 3. We derived Equation (10) which expresses the two 2-point DFT's DFT (ao, a2) and DFT (α₁,…

A: Given: Expressions of two 2-point Discrete Fourier transform in terms of the 4-point Discrete…

Q: For the generating function A(z)=- find the corresponding r≥ 0. 1-9z

A: Given: The function generating function is Az=21-9z2. To find: The numeric function corresponds to…

Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

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Q: Evaluate (r(t) · r1 t))l-2 where r1(t) = (t³, t“, t³), r(2) = (0, 3, 1), and r' (2) = (2, 4, 5) 42 O…

A:

Q: . Let u = [1, 7, 4]), v = [1,5, 5), and w [35, 25, 20]. Find the critical point of f(x, y) = (x · u…

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Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

A:

Q: dy Let y = x?Vx2 + 1 then is dx x (3x2 + 2) Vx2 + 1 x² +1 A (3x2 + 2) Væ2 +1 B x² + 1 2x2 (3x2 + 2)…

A:

Q: 4 3 1 + S2+4s+4 + s2+2s+2 53 1.

A:

Q: If f(x, y) = (8x2 + 8y³)³, then f_(0,0) %3D %3D A) 0 B) 2 C) 8 D) 1 E) Does not exist

A: Let us consider the two variable function f(x,y) Partial derivative of the function with respect to…

Q: Let Au + u = x^2 + y for x and y be in (0, 1). u(x, O) = x^2, u(x, 1) = x, u(0, y) = 0, u(1, y) = 1.…

A: We are given the following differential equation with the boundary conditions.…

Q: 3 For f(x,y) = In x+y°, 4,8)

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Q: Uto ulo,t) ищ, о иоса, с ut

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Q: Skelch he 4. Su face a) f(6,y) 9 4 (1) = ? +y" %3D ) f の(2,4) - 4-2-u 4- 2- 2. %3D

A: The surfaces are given below-

Q: y = 1 a) Determine fylx-1,2-1(y) b) Determine fy|x-1(y) c) Determine fyz-1(y)

A:

Q: 5) Find ôw/ôv if w=x² +(y/x), x u-2v+1, and y= 2u +v-2, at the point (u, v) = (0,0)

A: We have to find all partial derivatives first.

Q: Let g(x, y) = Vx²y². Find 1. g(1, 2) 2. g(4,1) 3. g(2, у) 4. g(x,2) 5. g(w, z – 1)

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Q: If x = v'u and y = 2uv, show that JJ' - 1, where J is the jacobian of u,v with respect to x and y…

A: We have find the jacobian

Q: Use the chain rule to find where az az au' av z = exy²; x =u³; y=u_v²

A:

Q: Consider a regression model: t = 1,2, ..,T Yt = Bo + B1x1t +U; u = pu,-1 + vi where v,~iid(0, o?).…

A: