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A hiker is climbing a mountain with height above the z-0 plane given by 2 = f(c,y) = 6 cy2The positive X-axis points east and the positive Y-axis points north, and the hiker starts from the point P (2,1).1. In what direction (give a unit vector) should the hiker proceed from point P to ascend along the steepest path? What is the slope of the path? (8 Points) 2 Walking north from P; will the hiker start to ascend or descend? Why? What is the slope? (4 Points) 3. In what direction(s) (give unit ve

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