Engineering Mathematics Calculus Vector Calculus

The value of ∯ (4xî - 2y²j + z²k).n̂ds where S is bounded by x² + y² = 4, Z = 0 and Z = 3 is

1

84 π

2

80 π

3

∰ (4 - 4r sin θ + 2z) rdr dθ dz where x = r cos θ, y = r sin θ

4

∰ (4 - 4r sin θ + 2z) r²dr dθ dz where x = r cos θ, y = r sin θ

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