6. Curl & Divergence: a) Calculate the 2D curl in F: F = < 4x³y, xy²+x+> b) Find the 2D divergence for F in part a. c) Is F in part a source free? Irrotational? Explain why. d) Compute the divergence for F = < 15x, -6y, -6z>. State what this means. e) Find the divergence of the vector field F= < x²yz, -xy²z, -xyz²> f) Compute the curl for F= < 3xz³ey2, 2xz³ ey², 3xz² ey² >

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A: We know that,      1.              2.

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A: The given function .We have to find the .

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A: Given  below is the sketch of the above vector field , done using simulation software

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