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Consider the surface S in R3 defined implicitly by x**2 y = 4ze**(x+y) − 35 ....

Consider the surface S in R3 defined implicitly by x**2 y = 4ze**(x+y) − 35 .

(a) Find the equations of the implicit partial derivatives ∂z ∂x and ∂z ∂y in terms of x, y, z. (b) Find equations of the tangent plane and the norma line to the surface S at the point (3, −3, 2)

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