Determine if each of the following vector fields is the gradient of a function f(x, y). If so, find all of the functions with this gradient. (a) (3x² + e¹0y) i + (10x e¹0y - 9 siny) j (b) (10x e¹0y - 9 sin y)i + (3x² + e¹0) j 10y

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