A child seat is modelled on the surface z = g(x. y)= 2x +5y. One end of a strap would be at the point P(-1,1,3). (1) Find the partial derivatives g,(-1,1). g, (-1,1). (1i) Find the equation of the plane tangent to the surface at P. (iii) Calculate the gradient vector Vg at the point (-1,1).

Q: f(x, y) = 22f дх2 2² f дуг = 2x — 8y 7x² +5y m --- 00

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