y = V(4x² – 3x + 1)3 10)

Q: Find My My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. y…

A: My =ρ∫08x.x2/3dxMy=ρ288/3My=323ρIf region in the plane with constant density ρ is bounded by the…

Q: Find the derivative of the function. f(x) = (1 + x*)²/3

A: f(x) = 1 + x423 f'x = ?

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Q: Evaluate the given integral. Jx²Inxdx

A:

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Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Show that β ≈ 3α, by calculating the change in volume ΔV of a cube with sides of length L.

A: Write the expressions for the linear expansion and the volume expansion.

Q: Find the gradient of following scalar function: |5x+7y°+3z' r = V

A: SOlution: the gradiant is given by for the scalar funciton F(x,y,z) dF = i dF/dx +jdF/dy + kdF/dz

Q: What are the natural independent variables of G? ?G = −S?T + Vdp

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A: Let A is an orthogonal matrix with determinant equal to+1. Orthogonal matrix, AAT=1…

Q: 1) Express the polynomial x + 2x2 - 5x- Laguerre polynomials.

A:

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Q: Find derivative of functions:

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Q: Find the most probable value of the constant a and b

A: Given:- γ in Nm-1 at different temperatures, T in oC are giving below if  γ=a-bθ where θ is the…

Q: The following statements are given

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A: Derivative of two multiplicative function is given as  (fg)′=f′g+fg′

Q: Find the indicated trapezoid approximations to the following integral. 10 | 7x dx using n = 2, 4,…

A: Write the given values of this problem. ∫2107x2n=2,4,8

Q: Evaluate the integral. 5/t +² 2 dt

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Q: Consider the curve described by the parametric equations x = 3 cos t, y = 2 sin t. Compute the slope…

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Q: Find AB for each of the following matrices :- -lo 3 -2J, 2) A=L 3 4 2 -3) 3) A=[ B=[ 5 13 1J Find A?…

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Q: Consider the curve described by the parametric equations x = t – 1, y = t? + 3t + 2. For which value…

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Q: Find the centroid of theshaded area interms of x and y

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Q: Find the simplest SI unit of z, if Z = Fr³r? m³v²

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Q: derivative of the given function keeping E fixed in terms of E and T

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A: Given the expressions: 4≤x2+y2≤7z=±4x2+4y2   Write the expression of volume. V=2∬z dxdy

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A: Slope or tangent to a curve in  X-Y plane is given as dY/dX.

Q: Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 22.

A: Given that  and we have to solve for

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A: Each interior angle of a n sided polygon will be given by following formula: Take n = 18…

Q: Evaluate the given integral. S 1 (x²+4)3/2

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Q: Find the divergence and curl of A = e*Yãx + sinxyā, + cos?xza,

A:

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.