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Please have simplified work and label your answers. Do not use ChatGPT or any Ai. Handwritten work only. Will rate aswell Please show your answer

Please have simplified work and label your answers. Do not use ChatGPT or any Ai. Handwritten work only. Will rate aswell

Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change occurs for the function f(z, y) = 4xsin(zy) at the point (3,5). Give your answer as a unit vector

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