Find a family of functions z=f(x,y) whose partial derivatives are given, or explain why this is impossible. of x=3x²y³ - 3x²-3x³y² +9y² = ду Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. It is not possible to find such a function because one partial derivative has an x-term, but the other partial derivative has a y-term. OB. It is possible to find a family of functions f(x,y). Using an arbitrary constant, functions of the form f(x,y) = satisfy the given partial derivatives. O C. It is not possible to find such a function because af axay C... = which is not equal to af əyəx

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