Use the preliminary test to decide whether the following series are divergent or require further testing. Careful: Do not say that a series is convergent; the preliminary test cannot decide this. 1 1. 4. 16 25 36 10 26 37

Q: b) Find the commutator relation 1) [Z², L,] 2) [H,x]

A: (1)          [ z2, Lz] = [zz,Lz]              = z[z,Lz] + [z,Lz]z But,   [z,Lz] = 0 then,…

Q: Is continuous-at Xea3? X+3 X=-3

A: Here a function f(x) is given and it's condition also given. We have to find out whether this…

Q: How do you do this question with integrals instead

A:

Q: 2.2. (a) Verify explicitly the invariance of the volume element do of the phase space of a single…

A:

Q: Determine the Miller indices below Plane B y=2

A: From the diagram- Plane B cuts the X-Axis at x = 1 Plane B cuts the Y-axis at y = 2 Plane B is…

Q: I need the answer quickly

A: 1 We know that dQ = dU+dW                or , TdS = dU+pdV                       dU = TdS - pdV Now…

Q: 3x X-4 3. 5x

A:

Q: Find by the Lagrange multiplier method the largest value of the product of three positive numbers if…

A: Let the three numbers be x, y and z Hence,

Q: F = A +B'C which one of the followings is the representation of function F in terms of SOP form?

A: Steps to write a minimal form of function into canonical form SOP : 1. Find number of variables in…

Q: Design the Logic g abe write a table of facts for it Z=A(B+c)

A:

Q: What does your result for the potential energy U(x=+L) become in the limit a→0?

A: We want to calculate lima→0qQ8πε0alnL+aL-a=qQ8πε0lima→0lnL+aL-aa

Q: Rank, in increasing order, the derivatives of the function at each of the points A through E. If two…

A: Introduction: In physics, mathematics plays a crucial role. In kinematics, while describing the…

Q: A possible solution for a first and second order derivatives have the same form expressed as O a. A…

A: In the exponential functions, the exponential part remains unaffected on differentiating. So, its…

Q: Q 2: Prove that in the hexagonal structure the vectors of the inverted lattice are given. According…

A: α*=α=90° β*=β=90° γ*=180-γ   Draw the figure as below.

Q: Using boolean algebra, simplify the following expressions functions. AB+A(B+C) +B(B+C)

A: Given function : F = AB  + A(B+C) + B(B+C)

Q: QUESTION 2 The complex conjugate of Y is written as *Y. O True O False

A: Complex conjugate in mathematics means a complex number with equal real part Re(z) = Re(z*) and…

Q: 2. Using Boolean algebra simplify: (Ā+B+ C).(A+ B).(Ā+ B + C) = Ā+ B %3D

A: Boolean algebra deals with algebra of 2 digits or inputs 0 or 1. This is very different from normal…

Q: A Boolean function of variable A,B, and C is given by f(A, B,C) = ÄBC + ĀBČ + ÃBC + ABC + ABC…

A:

Q: Consider the Lennard-Jones potential between atoms in a solid material. Find the dependence of the…

A: The Lennard-Jones potential is given by, V=4Eσx12-σx6 where E is the depth of the potential well or…

Q: Evaluate the function f(x) = 0.15x^3 − 3.18x^2 − 2.4x+ 17.1 for x=0.14, where, x is rounded. Compute…

A: Write the given values of this problem: f(x)=0.15x3-3.18x2-2.4x+17.1x=0.14

Q: Find the linear approximation of the function y = x' at point xo 1

A:

Q: Consider the dispersion relation w = ak3, where a is a positive constant. The phase and group…

A: Answer

Q: A pendulum hangs from a fixed point, but the pendulum itself is a spring with a constant k and…

A: A pendulum which is a spring hangs from fixed point is as shown in the following figure. Since the…

Q: What would the answer be for part B?

A: in this question we discuss what will happen when plate slip and change on center of gravity of…

Q: sketch the corresponding distribution

A:

Q: Find the poisson brackets [F,G] for the functions: F = q1 +q2p{ and G = q +2p3

A: given: F=q1+q2p12G=q22+2p22

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = x2cos x,    n = 2,    c = π…

A: The expression for the Taylor polynomial series for n=2,

Q: 1) Give the Lagrange function and the Lagrangian equation(s) of motion of the second kind for the…

A:

Q: For the given hasse diagram, Check which are distributive or modular lattice by using M3-N5 theorem.

A: According to the M3-N5 Theorem, a lattice is modular iff it does not have a sub lattice isomorphic…

Q: The following graph is of the function y Asin Br.

A: Given :  Function y = A sin (Bx) Required :  Amplitude of the wave, Period of the wave , A and B.…

Q: What are the Miller indices for the plane shown below? Z A X

A: The plane intercepts x axis at a and Y axis at b and does not intercept z axis, a,b,α Reciprocal of…

Q: Q 2: Prove that in the hexagonal structure the vectors of the inverted lattice are given. According…

A: