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For each of the following vector fields, find its curl and determine if it is a gradient field.
Let r=(x2+y2)1/2 and consider the vector field F⃗ =rA(xi⃗ +yj⃗ ), where r≠0 and A is a constant. F⃗ has no z-component and is independent of z.
Find the divergence of each of the following vector fields at all points where they are defined.
Let f(x,y)=axy+ax2y+y3.
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STM32 (1)
