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since gy(y, z) = 0, then it must be true that g(y, z) = h(z). this means that f(x, y, z) = 4xy2z3 h(z), and so fz(x, y, z) = h'(z).

User Imbrizi
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Answer: Yes, that’s correct! Since gy(y, z) = 0, it must be true that g(y, z) = h(z). This means that f(x, y, z) = 4xy2z3 h(z), and so fz(x, y, z) = h'(z).

Explanation:

User Daminufe
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