5) Let F(x, y, z) = x²i+ y²j+ z2k be a vector field defined on the surface S which is the portion of the cylinder y2 + z? = 4, with z > 0 between the planes x = 0 and x = 5 oriented upward. Evaluate the surface integral f fs F.dS for the given vector field F and the oriented surface S.

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A: Stokes' Theorem Stokes’ theorem says we can calculate the flux of curl F across surface S by knowing…

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A: Introduction: The flux of the vector field F is given by the formula, ∮CF.ndS=∫∫∫div(F)dA

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Q: Let vector field F =(x,y,z²) across the surface S which is an upper hemisphere x²+ y² + z² = 4 . 1)…

A: Let vector field F =(x,y,z²) across the surface S which is an upper hemisphere x²+ y² + z² = 4 . 1)…

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Q: Q1.

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