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5. The temperature profile of a room is defined by T(x, y, z) = x + y# + 2z* . A robot is positioned at

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5. The temperature profile of a room is defined by T(x, y, z) = x + y# + 2z* . A robot is positioned at (1, 1, 1) . Determine the vector that the robot should move along to realize the largest temperature increase. 6. For f (x, y) = xy' -y , determine the directional derivative at the point (2,1) along the direction 0=40

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