Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The value of the real constant α that makes equality: αz(∂z/∂x)+x2(∂z/∂y)=−x2/(2yz−x3) to be true the result is?

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A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

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A: The solution is given as

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