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If z^2=x^3+y^2, dx/dt=2, dy/dt=3, and z>0, find dz/dt at (x,y)=(4,0). Please give an exact answer.

If z^2=x^3+y^2, dx/dt=2, dy/dt=3, and z>0, find dz/dt at (x,y)=(4,0).

Please give an exact answer.

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