Consider the function f(z, y, z) = 5z - 3zy + ryz %3D a. At the point (3,4, 5), what is the directional derivative of f(2, y, z) in the direction i +j-k? Give your answer to one decimal place. Give a numerical answer only. Directional Derivative = b. What is the direction of the maximum rate of change of f at (3, 4, 5)? Give your answer in vector form such as (1, 1,1). Do not use spaces. Direction = C. What is the maximum rate of change? Give your answer to one decimal place. Give a numerical answer donly. Maximum rate of change

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