x²yi – x²y²j – x²yzk Calculate the net outward flux of the vector field F(x, y, z) across the surface of the solid bounded by the hyperboloid x2 + y² – z² = 1 and the planes z 2 and z = -2. Show all working.

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Q: Exercise: 5 a) Find the outward flux of the vector field F(x, y, z) = x³i+y³j + (z³ + xz)k across…

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A: Given :- The flow of the vector field through the surface S , outwards , with S  being the…

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Q: 2. Use Gauss' Theorem to compute the outward flux of the vector field F(r) = (x, y, z²) through the…

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Q: Q2) Find the flux of the vector field F(x,y,z) = (x,y, z) , where the surface S is the portion of…

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Q: Vector Field: F(x,y) = (xv, 3x, – 2y) and Surface: z = 4 - x - 3 y? Use the normal vector formula to…

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Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

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Q: Determine whether F(x, y, z) = 2zi + (3y-y²)j + (2x − 23k is a conservative vector field. → We are…

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Q: Compute the flux of the vector field F(x,y, z) = yi– 2xyk over the triangle T with vertices (1,0,0),…

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Q: Find the flux of F = yi+2xj-3zk through the unit disk centered at (0,3,0) in the plane y=3, oriented…

A: Given F→=yi^+2xj^-3zk^ through the unit disk centered at 0,3,0 in the plane y=3 oriented towards the…

Q: Consider the family of rotating vector fields -Y (x² + y²)n/2 V(x, y, z) = î+ x (x² + y²)n/2Ĵ+0k,…

A: Let V =V_1 i+V_2 j +V_3 k