Let z=g(x,y)=f(3cos(xy),y+exy) provided that f(3,4)=4, f1(3,4)=2, f2(3,4)=5. i) Find g1(0,3). ii) Find g2(0,3). iii) Find the equation of the tangent plane to the surface z=f(3cos(xy),y+exy) at the point (0,3).

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A: This question is related to three dimensions geometry.

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