Question: Q5)(15 points) Suppose the relation y sin z = xz + 3ze defines z as a differentiable function of x and y implicitly in

Q5)(15 points) Suppose the relation y sin z = xz + 3ze

Q5)(15 points) Suppose the relation y sin z = xz + 3ze defines z as a differentiable function of x and y implicitly in a neighborhood of the point (-3,0) and z assumes the value 1 at x = -3 and y = 1. Compute z, and zy at the point (-3,0).

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