Let div F = 4(8 – z) and 0 < a, b, c < 11. ) Find the flux of F out of the rectangular solid 0 sa< a,0

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: Convert y " – 2y " +y=sin(4 t) into a system of first-order equations. a) O [* =*; *;=x X=- 2x,+…

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Q: Which of the following is the gradient vector of the function f(x, y, z) = cos ry sin yz? Select…

A: Here, the given function is: f(x,y,z)=cos(xy) sin(yz) Note that the gradient vector is given by:…

Q: (Section 17.8) Let surface S be the surface of the solid given by <<<<<<£. (a) Find the outward flux…

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Q: Let în be a unit vector in a direction specified by the polar angles (0, ø). Show that the component…

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Q: 1-) A scalar function changes in a region according to equation: f (r,0,z) = Ar"z – Brz" – Cz 2-2…

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Q: The temprature of ulwt) at any Point of equation a Semi-intinite bay Satisius the fxut) = (M t),…

A: We have, ut=uxx    ⇒c=1Let u(x,0)=f(x)ut(x,0)=g(x)   D' Alembert' s Solution is given by: (for c=1)…

Q: Given velocity vector y= (e",4t°,-6sin3t). Find acceleration vector, a. (а) -,t“,2cos3t 2 e2…

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Q: U= {f.g, h, p, q, r,x,y,z) A={f, h, p.q.r) B={q, r, y, z) C={g, h, p.q.y} Find Cn (B'UA). Write your…

A: We are given 4 sets U,A,B,C. We have to find C intersection (B` union A). This is an elementary…

Q: (d) Derive expressions for the variance of Bi and the variance of the least squares estimate 3…

A: Given,     The simple linear model is given by                yi=β0+β1xi+ei, i=1,....,n   and…

Q: 2. Solve V'u = 0 for r<1, 0<z< T, u(r, 0, 0) = 0, a7(r, 0, 7) = 0, - u(1, 0, z) = z cos³ 0.

A: It is given that

Q: Plz give correct solution. Suppose T in L(F^2) and dim E(3, T) = 2. Prove that T is invertible.

A: The transformation is :  The aim is to prove that "T" is invertible.

Q: Tom wants to invest $500. He invests in a company that predicts his investment will double in value…

A: Initial investment is $500 and the money gets doubled in 3 years.

Q: QI/ Consider the following equation xu-yuy-2yu, =0: x0, y 0 I) Determine the type of the equation.…

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Q: 3. Bir f (1,y, 2) = ee cos 5z fonksiyonu veriliyor. a) grad f (r, y, z) =? bulumuz. b) Bu…

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Q: b) Explain when an external flow is two-dimensional, three-dimensional, and axisymmetric. What type…

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Q: 4. Classify and reduce the following equations to a canonical form: (a) yu -x*u, = 0, x>0, y>0. (b)…

A: To classify and reduced in canonical form of the given equation is..

Q: For each problem, calculate the directional derivative in the given direction and the gradient…

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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

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Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y*, is: b) u' - 6u = -6 a) u' + 6u = -6 d) u' + 6u =…

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Q: Find the equations of the reflection in the line y=x+1. a) x' = y - 1 , y' = x + 1 b) x' = x - 1 ,…

A: Given: Equations of the reflection in the line : y = x + 1

Q: Describe any one of the physical system where we can apply Bessel or legendre differential equatin?

A: In the question it is given Legendre and Bessel differential equation. The objective is to…

Q: f(x)=x^[8/3]-4x^[2/3] determin the: a) roots b) Domain c) intervals for which the function is…

A: The given function is To find:-rootsdomian intervals for which the function is positive and negative…

Q: 1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

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Q: Let X'Y' -system be obtained from XY –system by a rotation through 45°. Describe the equation 2x2 +…

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