= 1 (p³²+q²³), Q=tan ²¹ ( 2 4 -Prove that the transformation P=- is canonical.

Q: Evaluate the volume between the surface z = 3 + 2x + xy, and the rectangle in the xy plane given by…

A:

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: 4. Solve the Poisson equation, V2u = e²y sin x 0<x<π,0< y <L subject to the boundary conditions,…

A: Here, we can use the method of separation of variables. However, the boundary conditions are not…

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: 5. (a) Evaluate the line integral % 2 dic + dy+yz along the curve C(t) = [t², t³, t²], ɩ € [0, 1].

A:

Q: prove that [L2,Lz]=0

A: L^2 is an operator that represents the square of angular momentumIt is equivalent toL^2 = L^x2 +…

Q: 33. In a parallel projection, will a line parallel to the Z axis project as a point, a line, or not…

A: A line parallel to the z-axis has certain fixed values of x and y and a variable value of z.   If a…

Q: Let the position of an obj Iqo t2 0. The velocity of th

A:

Q: If A = 2i − j − k, B = 2i − 3j + k, C = j + k, find (A · B)C, A(B · C), (A × B) · C,A · (B × C), (A…

A: (A•B)C = (2i − j − k • 2i − 3j + k)( j + k) (A•B)C = (4 + 3 - 1)( j + k) (A•B)C = 6( j + k)

Q: 2. Consider the spherical coordinate system Z X 0 * (r, 0, 0) 11 I y a) Express x, y and z as…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: Complete the truth table below for X = A.B by selecting the appropriate values for X from the…

A: Given :- Draw truth table for AND gate .        X= A•B

Q: c) Identify the Miller indices of this plane: 2/3

A:

Q: Determine whether the statement is true or false. If f is differentiable, then O True O False √f(x)…

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Q: се free space.

A:

Q: P.1: Let lu) = (). In) = (). a) Find the norm of Ju) and |v). Are these vectors normalized? b) If a…

A: We have to perform the following operations mentioned above regarding the ket vectors mentioned…

Q: Galaxies are moving apart due to the expansion of the universe. Suppose another galaxy-approximated…

A: Given: Speed with which the galaxy is moving away from us is 3.00×106 m/s. Introduction: Two…

Q: 2- find the matrix of two operators L, and L2 at l = 1 The given : (e",m'|L²|e, m) = l (l + 1)h²…

A: Given, l',m'L2l,m=ll+1h2δl,l'δm,m' So at l=1 l',m'L2l,m=2h2δl,l'δm,m' δl,l'δm,m'=1              for…

Q: Completing the square Evaluate the following integrals.

A:

Q: A = x²yzî- 2xz3j+ xz² k B = 2xî+ yj- x² k a2 - (A × B) дхду FİND THİS (1,0, –2) ON POİNT

A: (A x B) = i j kx^2yz 2xz^3j xz^22z y x^2 (A x B) = i (2x^3 z^3 - xyz^2)+ j( 2xz^3 - x^4yz ) +…

Q: Kato asks why a 45° launch angle results in the maximum horizontal range. Abel uses R = 2V; sin 0,…

A: Given:-           R = 2vi2 sinθicosθig

Q: If we have the next vectors: A (160, 3.77, 1.9) B= (-22.43, -2.76, 3) Ĉ= (140, -0.089, -5.7) D=…

A: