A) Consider the vector field F(x, y, z) = (-3yz, 6xz, xy). Find the divergence and curl of F. 0 div(F) = ▼ · F = curl(F) = ▼ × F = ( [00 V B) Consider the vector field F(x, y, z) = (6x², 8(x + y)², −3(x+y+z)²). Find the divergence and curl of F. 0 div(F) = V · F = curl(F) = ▼ × F = 000.

5., Given (1-1)y' + ty'-y = 0. Show {t, e'} forms a fundamental set of solutions to the above differential equation and write down the general solution.

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d 5, dt