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(Solved): thumbs up for correct answers. please answer all parts Let f(x,y)=axy+ax2y+y3. (a) div(grad(f))= (b) ...

thumbs up for correct answers. please answer all parts
student submitted image, transcription available below

student submitted image, transcription available below

Let

f (x, y) = a x y + a x^{2} y + y^{3}

. (a)

div (grad (f)) =

(b) Find

a

so that

div (grad (f)) = 0

for all

x, y

.

a =

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