Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change occurs for the function f(x, y) = 2x sin(xy) at the point (2,3). Give your answer as a unit vector.

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A: If , then to find the value of .021541323325312310401

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A: Solution is given below.

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A: Note: As you posted multiple subparts I need to solve only first three sub parts.

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