Find the flux of the vector field F across the surface S in the indicated direction. 2 F = 3x²j-z²k; S is the portion of the parabolic cylinder y = 3x² for which 0≤z≤2 and -1 ≤x≤ 1; direction is outward (away from the yz-plane) O O A. 12 B. 4 C. -4 D. -12 COL

Q: 4 В T(t+h) A 21 y 01 2

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Adding the plane surface y=0 to close the surface and apply the gauss divergence theorem.

Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: Q5.Find a vector parallel to the line of the intersection of the planes 2x + y – 2z = 5 and. %3D N =…

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Q: 1. State and prove the Lagrange's identity.

A: As per our guidelines only first Q is solved. For remaining solution kindly repost the question.