Given T(x, y, z) = x + z z-y a. Find the vector in the direction in which T(x, y, z) increases most rapidly at P(-3, −5, 2). Write the vector in component form and give all components in exact form. b. Find the maximum rate of increase of T(x, y, z) at P(−3, –5, 2). c. Find the rate of change of T(x, y, z) at P(−3, −5, 2) in the direction of Q(-1, -7,1).

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