Question: Consider the function: z = s(x, y) which is assumed to have continuous third partial derivatives. i. Assume that s(x, y) = 0 implicitly defines

Consider the function: z = s(x, y) which is assumed to have continuous third partial derivatives. i. Assume that s(x, y) = 0 implicitly defines y as a function of x. Calculate: dy/dx and d 2 y/dx2 . ii. Explain in words why dy/dx from (i.) is the slope of the z = 0 contour

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