6. Prove the divergence "product rule" identity: div(f G) (Vf). G + f div(G) Hint: let the vector-valued function be G(x, y, z) = P(x, y, z)i+Q(x, y, z)j +R(x, y, z)k, and let the real-valued function be f(x, y, z). Then compute each side of the identity to compare them. Here, "div" stands for the divergence, div(G) = Pr + Qy + R₂.

Q: 12 5 10

A:

Q: 28 +28

A:

Q: 158 + 199

A: topic - addition

Q: What is 60 plus 60

A: given that,   what is 60 plus 60?

Q: 5+250

A:

Q: -5 • -1/7 • 4/8

A: Refer to the we have to find the product of the -5 • -1/7 • 4/8

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A: Given Integral, I=∫-22x3dxwe have to evaluate the given integral

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A: Topic = Complex number

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A:

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A: For the solution of the problem follow the next step.

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A: Given5+5

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A: The given data is: 5+862 To find the sum of the given expression.

Q: 12 increased by the product of 6 and a number

A: The product of 6 and a number means to multiply the number by 6 and "increased by 12" means to add…

Q: 28+76

A:

Q: 16+29

A: Given :16+29

Q: 12

A: Explanation and solutions is given below....

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Q: dy + 2xy = f(x), y(0) = 4, where xp Sx, 0sx<< 1 f(x) lo, x 2 1 0 < x< 1 y = x 2 1

A:

Q: 10,308+982

A:

Q: 6+197

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Q: 2 plus 2

A:

Q: 58+50

A: Please see the below answer.

Q: 39+4738

A:

Q: 6s + 3 Lost + 5s² + 4 + 5s? + 4]

A: Given

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A: Given:  16+3*5

Q: What is 3 plus 3

A:

Q: 4 8 22

A: Given Triangle

Q: 6 √275

A:

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A: Using sum rule

Q: J 49+14

A: