a. Use the Cartesian representation L₂ = 1/(x2-17 - 1²/²7) y i ду дх to show that (x + iy)m is an eigenfunction of Îz.

Q: 7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 i + (6- 7…

A: The velocity vector is produced by taking the derivative of position vector and acceleration vector…

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A: Given: x=y2z ---(1)y=siny+z---(2)

Q: 4. Let A and B be n x n matrices with AB = BA, and let |v) E C" be an eigenvector of A with…

A: Given:-            Bxi = ∑i=1r  cij xi                       i = 1,2,3,......r

Q: x is defined as follows: x=a.b¹√c a = 23, u(a) = 0.3 b = 320, u(b) = 4 c = 45, u(c) = 1 Which…

A: The x is defined as x = a.b4.c0.5 and a=23, u(a)=0.3 b=320 ,u(b)=4c=45, u(c)=1Choose the uncertainty…

Q: If y = log[(AB) 2] then Oy-log+log B y = (logA+logB) y=2(logA+logB) Oy = (logA - logB) his

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Q: Solving Differential Equations using standard methods. Find the solution to the following first…

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Q: HW11.1 Spherical coordinates (r, 0,0) are defined as: x=rsin cos , y=rsin sind, z=rcos 8. See page…

A:

Q: Find the eigenvalues and the eigenstates of S

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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:

Q: 14 Find the eigenvalues of the matrix A = %3D 23

A: A=1423 So for eigenvalue, we have to calculate; DetA-λI=0…

Q: An annulus has inner and outer radii a and b, respectively and carries a uniform surface charge…

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Q: Let A=(2i+6j-3k) m and B=(4i+2j+k) m . What is the product of A-B ? * (8i + 12j- 3k) m2 (12i- 14j-…

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Q: Orc where O JA angie Mo (3) yt (6) 優(出。 Hexe Bp= = 100 Diection f maguetic frield ot given by might…

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Q: Q.3: Given the two vectors A = i+j and B =j+ k, find the following: (1) ЗА — 2B (2) Ax B (3) |Ãx B |

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Q: x + 5 x 5 Calculate the following values: a. q( – 3) : b. q(7) = q(5) = С.

A:

Q: Can you answer problem 2?

A: The value of γ be defined as,

Q: 1. (a) Simplify the following number to the r + iy form and to the re form 3+i 2+i (b) Find the…

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Q: P 3D1+ 22 mc 1

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Q: Find V. (V × F), if F(x, y, z) = 2ezi + 9xej - 9e¹*k. V. (V x F) =

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Q: 3. Consider the following matrix: [1 2 21 A = 2 1 2 L2 2 11 (a) Determine the eigenvalues and the…

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Q: hd Px 5. Evaluate the following commutators: (Remember that i dx ). (a) [x.y] (b) [x.px] (c) [px.pyl

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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: Two forces, F₁ and F2, act at a point, as shown in (Figure 1). F₁ has a magnitude of 9.00 N and is…

A: Given:-  The magnitude of the vector  Force F1 and F2 as  F→1= 9 N F→2=6.20 N  The angle is α= 61.0°…

Q: Q1 2 0 1 Let A a 2 0 where a is some real number. 0 0 1 (1) Find the eigenvalues of A. ind nd th e…

A: (1) Given: The matrix A is A=201a20001. Introduction: Eigenvalues are the special set of scalar…

Q: Ex4@Express w = (x-1) ay in the cylindrical coordinates (b) transform F = P cosa ap in the Cartizian…

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Q: Write the equation (x-2)^(2)+(y-1)^(2)+z^(2)=9 in spherical coordinates.

A: The given equation is x-22+y-12+z2=9 We need to write the expression in spherical polar coordinates.

Q: 3. Find the eigenvalues and eigenvectors of 010 100 002

A: We will use the equation for eigenvalues,

Q: 7.1. Given the following values for P₁, P2, and I, AL₁, calculate AH₂: (a) P₁(0, 0, 2), P₂(4, 2, 0),…

A: a Given,P1=(0,0,2)P2=(4,2,0)r=(4,2,0)-(0,0,2)r=(4,2,-2)I1∆L1=2πaz…

Q: Cartesian to Cylindrical Coordinates.

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Q: E = ? at (a) x 2h

A: