Prove that k +- satisfies the Prague condition2dsine = n. =
Q: Q3: A: Determine the Miller Indices and planes of the following: 1/2 2/a 1/3 1/2
A: This question can easily be solved by applying the basic concept of Miller Indices
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A: take the reciprocal of the intercepts. We then obtain 12,14,12
Q: Convert these complex numbers to polar form and check yo such as Mathematica. (If using Mathematica,…
A: A complex number can be converted from rectangular to polar form and vice versa as:
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A: correction and explanations in the problem requested
Q: f = r²e, + 4rzęe + 2zęz
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Q: What are the indices (Miller indices) of a plane whose intercepts with three axes are 2,4,2,…
A: The given intercepts are 2,4,2.
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Q: Problem-3: For Vector function, A = (x + yz)i + 3(2xz +y²)j — (xy)k (a) Verify the Divergence…
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Q: The spherical coordinates of a point (x, y, z) are unique. O True O False
A: True, the spherical coordinates are unique
Q: Consider the following LP. (Primal problem) Min z = 24x1 -12x2 + 4x3 %3D s.t. 3x1 - 3x2 2 3 4x1 +…
A: Given : Min z = 24x1 - 12x2+4x3 3x1 -3x2 ≥ 34x1+2x2…
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Q: 04 Given that J 1, (r2 + 2)V () dr. find the value of J. Note that the divergence relation in…
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Q: 74!= "T'7- "TT=| L.L. =LL -LL, -HL,
A: To prove : [Lz,Lx] = LzLx - LxLz =i ħ Ly {Note : Instead of using cap, I have written the equations…
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A: Given F→ = 4x3z , 4y3z ,3z4 z = 9-x2-y2 , z =4-x2-y2 and z =0
Q: 3. Prove that : Q = Tx mx my T. (1/25 - 1) + T₂ ( 72²2 + 1) + 2/1₂, Ty My My My (mmy Tx Ty)¹/2…
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Q: Calculate the commutators [^px2, ^x2].
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Q: . What is the Miller index of the line of intersection of (110) and (īī1) planes in a cubic system?…
A: This is a easy question. The main work here is to draw the planes and rest are easy to follow.
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A: Given that:F→=(x3+coshz)i^+(2y3-3x2y)j^-(x2+4y2z)k^Surface bounded, x=0, z=0x+z=6x=4-y2To…
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Q: 1. 2. If u = x²(x² + y²), find ou/0x, du/dy. If st", find as/at, as/Ou.
A: As per guidelines we are supposed to answer only the first three questions from multipart questions…
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Q: 2. f= (2y + + x j +3yz %3D
A: Given, F=2xy+z3i→+x2j→+3yz2k→∇×F=i^j^k^∂ ∂x∂ ∂y∂ ∂z2xy+z3x23yz2Solving we get=∂ ∂y3yz2-∂ ∂zx2i^-∂…
Q: J= , (r2 + 2)V () dr. find the value of J. Note that the divergence relation in spherical…
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Q: 3. Find the eigenvalues and vectors of the following matrix and use matrix diagonalization to prove…
A: To solve this at first we have to calculate the eigenvalues, then we have to calculate the…
Q: P-1 Show the given set of function is orthogonal and find the Norm of the function in given set {cos…
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