Suppose that the motion of a continuous medium is given by the 1D mapping

Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

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Q: A 0.25-slug mass is attached to a spring and spring is stretched 1.28 ft from its natural length.…

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Q: 2b. Consider that the input to the tank-pipe liquid system is formed of a source pressure pi, the…

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Q: Consider the line element of the sphere of radius a: ds2 = a2(dθ2 + sin2 θ dØ2 ). The only…

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Q: Find the Miller Indices of a plane whose intercepts are (2,1,3).

A: Given intercepts are (p,q,r)= (2,1,3) The Miller indices of a plane is    h,k,l=1p,1q,1r…

Q: Find the principal invariants, principal values and principal directions of the order tensor T,…

A: The tensor given in the question is  T=3-10-130001 This is a symmetric tensor. TT=T Let us calculate…

Q: prove that go is a tensor

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Q: Q Calculate the velocity of longitudinal and shear elastic waves in a cubical crystal along (111)…

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Q: Suppose we know exactly two arbitrary distributions p(x|ωi) and priors P(ωi) in a…

A: (a) Introduction: Bayes' Theorem is a simple mathematical formula used for calculating conditional…

Q: Find the norm of each of the following functions on the given interval and state the normalized…

A: we need to evaluate the integral of the square of the function over the interval, and then take the…

Q: Q = log (sin p) P = q cot p,

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Q: Find the output signal of a fuzzy logic controller has the two-impun triangle MF [e, ce] and…

A: To determine the output signal of the fuzzy logic controller based on the given information, we need…

Q: Find the transition matrix ABCD for a laser resonator consisting of a concave-plane mirror and a…

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Q: Obtain Fourier transformation for following function and also its integral representations.

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Q: find the eigenvalues and the normalized eigenvecor of the matrix A= 7 0 0 0 1 -i 9 i -1

A: Solution:given matrixA= 70001-i9i-1Find Eigen values and normalized eigen values.Now taking…

Q: find the commutator [Lz,cosφ]

A: The commutator of two operators A and B is given by

Q: If Hn (x) is the nth order Hermite polynomial, then which of the following integrals is equal to 0?…

A: Given: Hn(x) is nth order Hermite polynomial.

Q: x=J_y=K Z=L Let Ġ(J, K, L) = for c, d E R. Find c and d that will make the curl of G (1, zero, 2)…

A: Given, G→x,y,z=<3cx2z,ey+d+xz,xyz>

Q: Let X = c, the space of all conver gent sequences, andd de fined as d (r, y) = >lan - Ynl, then d is…

A: The requirements for distance function d to be a metric is,   1)   d(x,y)=0         ⇔   x=y…

Q: Use the facts that det(E3E2E1E0A) = 1 and Eo is a scale matrix (-949,: → A9,:) E₁ is a swap matrix…

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Q: plane with a lens inserted betweer iem. If the focal length of the lens is f = 10 cm, and L1, L2 are…

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Q: Assume that the given function is periodically extended outside the original range. Find the…

A: The Fourier series of a periodic function f(x) with period 2L can be written as the sum of an…

Q: Using the matrix expression for A and of the harmonic oscillator, find the matrix representations of…

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Q: Given [yth, y²] + = 27¹², i 2 [μ²] = 0μv where is the mostly positive Minkowski metric and are the…

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Q: f(x, y) = (cos(x) + cos(yV3/2 – a/2) + cos(yv3/2+x/2))² Plot the contours of this function for -3…

A: A contour plot is a graphical method to visualize the 3-D surface by plotting constant Z slices…

Q: A Free Particle moving with a wave fanction 4 = Ae -ix² on a specified Path from 0 to 0.5 on the X…

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Q: about yz-plane fo er clockwise rota

A: Given as, T: R3→R3 about yz- plane, Rotation= 30 degrees about x- axis.

Q: Let V₁ O O O || O 1 0 that v₁ and v₂are orthogonal to one another and each is a unit vector. Now let…

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Q: Given a function : y(t) = A sin(kx-wt) Prove that: d^2 y / dt^2 = - w^2 y(t) Where A, k, x, w are…

A: Given function is, yt=Asinkx-ωt

Q: 5 An electric fan in room at 25 °C is producing a small sound in a swinging mode from its frame. The…

A: Given: Temperature,T=250CAngular Velocity,ω=1rad/sVelocity of the sound,v=344m/sInitial…

Q: Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous…

A: Solution: For l = 1, the allowed m values are 1, 0, -1 and the joint eigenstates are |1,1>,…

Q: Find inverse la place transform of S² +48

A: L-11s2+4s=L-11s(s+4)                        =L-1141s-1s+4                        =14L-11s-1s+4…

Q: For l = 2, determine the matrix representation of the following operators a) L dan L_ b) Lx, Ly, dan…

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